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Overview of the Problem-Solving Mental Process

Kendra Cherry, MS, is a psychosocial rehabilitation specialist, psychology educator, and author of the "Everything Psychology Book."

Rachel Goldman, PhD FTOS, is a licensed psychologist, clinical assistant professor, speaker, wellness expert specializing in eating behaviors, stress management, and health behavior change.

• Identify the Problem
• Define the Problem
• Form a Strategy
• Organize Information
• Allocate Resources
• Monitor Progress
• Evaluate the Results

Frequently Asked Questions

Problem-solving is a mental process that involves discovering, analyzing, and solving problems. The ultimate goal of problem-solving is to overcome obstacles and find a solution that best resolves the issue.

The best strategy for solving a problem depends largely on the unique situation. In some cases, people are better off learning everything they can about the issue and then using factual knowledge to come up with a solution. In other instances, creativity and insight are the best options.

It is not necessary to follow problem-solving steps sequentially, It is common to skip steps or even go back through steps multiple times until the desired solution is reached.

In order to correctly solve a problem, it is often important to follow a series of steps. Researchers sometimes refer to this as the problem-solving cycle. While this cycle is portrayed sequentially, people rarely follow a rigid series of steps to find a solution.

The following steps include developing strategies and organizing knowledge.

1. Identifying the Problem

While it may seem like an obvious step, identifying the problem is not always as simple as it sounds. In some cases, people might mistakenly identify the wrong source of a problem, which will make attempts to solve it inefficient or even useless.

Some strategies that you might use to figure out the source of a problem include :

• Asking questions about the problem
• Breaking the problem down into smaller pieces
• Looking at the problem from different perspectives
• Conducting research to figure out what relationships exist between different variables

2. Defining the Problem

After the problem has been identified, it is important to fully define the problem so that it can be solved. You can define a problem by operationally defining each aspect of the problem and setting goals for what aspects of the problem you will address

At this point, you should focus on figuring out which aspects of the problems are facts and which are opinions. State the problem clearly and identify the scope of the solution.

3. Forming a Strategy

After the problem has been identified, it is time to start brainstorming potential solutions. This step usually involves generating as many ideas as possible without judging their quality. Once several possibilities have been generated, they can be evaluated and narrowed down.

The next step is to develop a strategy to solve the problem. The approach used will vary depending upon the situation and the individual's unique preferences. Common problem-solving strategies include heuristics and algorithms.

• Heuristics are mental shortcuts that are often based on solutions that have worked in the past. They can work well if the problem is similar to something you have encountered before and are often the best choice if you need a fast solution.
• Algorithms are step-by-step strategies that are guaranteed to produce a correct result. While this approach is great for accuracy, it can also consume time and resources.

Heuristics are often best used when time is of the essence, while algorithms are a better choice when a decision needs to be as accurate as possible.

4. Organizing Information

Before coming up with a solution, you need to first organize the available information. What do you know about the problem? What do you not know? The more information that is available the better prepared you will be to come up with an accurate solution.

When approaching a problem, it is important to make sure that you have all the data you need. Making a decision without adequate information can lead to biased or inaccurate results.

5. Allocating Resources

Of course, we don't always have unlimited money, time, and other resources to solve a problem. Before you begin to solve a problem, you need to determine how high priority it is.

If it is an important problem, it is probably worth allocating more resources to solving it. If, however, it is a fairly unimportant problem, then you do not want to spend too much of your available resources on coming up with a solution.

At this stage, it is important to consider all of the factors that might affect the problem at hand. This includes looking at the available resources, deadlines that need to be met, and any possible risks involved in each solution. After careful evaluation, a decision can be made about which solution to pursue.

6. Monitoring Progress

After selecting a problem-solving strategy, it is time to put the plan into action and see if it works. This step might involve trying out different solutions to see which one is the most effective.

It is also important to monitor the situation after implementing a solution to ensure that the problem has been solved and that no new problems have arisen as a result of the proposed solution.

Effective problem-solvers tend to monitor their progress as they work towards a solution. If they are not making good progress toward reaching their goal, they will reevaluate their approach or look for new strategies .

7. Evaluating the Results

After a solution has been reached, it is important to evaluate the results to determine if it is the best possible solution to the problem. This evaluation might be immediate, such as checking the results of a math problem to ensure the answer is correct, or it can be delayed, such as evaluating the success of a therapy program after several months of treatment.

Once a problem has been solved, it is important to take some time to reflect on the process that was used and evaluate the results. This will help you to improve your problem-solving skills and become more efficient at solving future problems.

A Word From Verywell​

It is important to remember that there are many different problem-solving processes with different steps, and this is just one example. Problem-solving in real-world situations requires a great deal of resourcefulness, flexibility, resilience, and continuous interaction with the environment.

Get Advice From The Verywell Mind Podcast

Hosted by therapist Amy Morin, LCSW, this episode of The Verywell Mind Podcast shares how you can stop dwelling in a negative mindset.

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You can become a better problem solving by:

• Practicing brainstorming and coming up with multiple potential solutions to problems
• Being open-minded and considering all possible options before making a decision
• Breaking down problems into smaller, more manageable pieces
• Asking for help when needed
• Researching different problem-solving techniques and trying out new ones
• Learning from mistakes and using them as opportunities to grow

It's important to communicate openly and honestly with your partner about what's going on. Try to see things from their perspective as well as your own. Work together to find a resolution that works for both of you. Be willing to compromise and accept that there may not be a perfect solution.

Take breaks if things are getting too heated, and come back to the problem when you feel calm and collected. Don't try to fix every problem on your own—consider asking a therapist or counselor for help and insight.

If you've tried everything and there doesn't seem to be a way to fix the problem, you may have to learn to accept it. This can be difficult, but try to focus on the positive aspects of your life and remember that every situation is temporary. Don't dwell on what's going wrong—instead, think about what's going right. Find support by talking to friends or family. Seek professional help if you're having trouble coping.

Davidson JE, Sternberg RJ, editors.  The Psychology of Problem Solving .  Cambridge University Press; 2003. doi:10.1017/CBO9780511615771

Sarathy V. Real world problem-solving .  Front Hum Neurosci . 2018;12:261. Published 2018 Jun 26. doi:10.3389/fnhum.2018.00261

By Kendra Cherry, MSEd Kendra Cherry, MS, is a psychosocial rehabilitation specialist, psychology educator, and author of the "Everything Psychology Book."

7.3 Problem-Solving

Learning objectives.

By the end of this section, you will be able to:

• Describe problem solving strategies
• Define algorithm and heuristic
• Explain some common roadblocks to effective problem solving

   People face problems every day—usually, multiple problems throughout the day. Sometimes these problems are straightforward: To double a recipe for pizza dough, for example, all that is required is that each ingredient in the recipe be doubled. Sometimes, however, the problems we encounter are more complex. For example, say you have a work deadline, and you must mail a printed copy of a report to your supervisor by the end of the business day. The report is time-sensitive and must be sent overnight. You finished the report last night, but your printer will not work today. What should you do? First, you need to identify the problem and then apply a strategy for solving the problem.

The study of human and animal problem solving processes has provided much insight toward the understanding of our conscious experience and led to advancements in computer science and artificial intelligence. Essentially much of cognitive science today represents studies of how we consciously and unconsciously make decisions and solve problems. For instance, when encountered with a large amount of information, how do we go about making decisions about the most efficient way of sorting and analyzing all the information in order to find what you are looking for as in visual search paradigms in cognitive psychology. Or in a situation where a piece of machinery is not working properly, how do we go about organizing how to address the issue and understand what the cause of the problem might be. How do we sort the procedures that will be needed and focus attention on what is important in order to solve problems efficiently. Within this section we will discuss some of these issues and examine processes related to human, animal and computer problem solving.

PROBLEM-SOLVING STRATEGIES

   When people are presented with a problem—whether it is a complex mathematical problem or a broken printer, how do you solve it? Before finding a solution to the problem, the problem must first be clearly identified. After that, one of many problem solving strategies can be applied, hopefully resulting in a solution.

Problems themselves can be classified into two different categories known as ill-defined and well-defined problems (Schacter, 2009). Ill-defined problems represent issues that do not have clear goals, solution paths, or expected solutions whereas well-defined problems have specific goals, clearly defined solutions, and clear expected solutions. Problem solving often incorporates pragmatics (logical reasoning) and semantics (interpretation of meanings behind the problem), and also in many cases require abstract thinking and creativity in order to find novel solutions. Within psychology, problem solving refers to a motivational drive for reading a definite “goal” from a present situation or condition that is either not moving toward that goal, is distant from it, or requires more complex logical analysis for finding a missing description of conditions or steps toward that goal. Processes relating to problem solving include problem finding also known as problem analysis, problem shaping where the organization of the problem occurs, generating alternative strategies, implementation of attempted solutions, and verification of the selected solution. Various methods of studying problem solving exist within the field of psychology including introspection, behavior analysis and behaviorism, simulation, computer modeling, and experimentation.

A problem-solving strategy is a plan of action used to find a solution. Different strategies have different action plans associated with them (table below). For example, a well-known strategy is trial and error. The old adage, “If at first you don’t succeed, try, try again” describes trial and error. In terms of your broken printer, you could try checking the ink levels, and if that doesn’t work, you could check to make sure the paper tray isn’t jammed. Or maybe the printer isn’t actually connected to your laptop. When using trial and error, you would continue to try different solutions until you solved your problem. Although trial and error is not typically one of the most time-efficient strategies, it is a commonly used one.

   Another type of strategy is an algorithm. An algorithm is a problem-solving formula that provides you with step-by-step instructions used to achieve a desired outcome (Kahneman, 2011). You can think of an algorithm as a recipe with highly detailed instructions that produce the same result every time they are performed. Algorithms are used frequently in our everyday lives, especially in computer science. When you run a search on the Internet, search engines like Google use algorithms to decide which entries will appear first in your list of results. Facebook also uses algorithms to decide which posts to display on your newsfeed. Can you identify other situations in which algorithms are used?

A heuristic is another type of problem solving strategy. While an algorithm must be followed exactly to produce a correct result, a heuristic is a general problem-solving framework (Tversky & Kahneman, 1974). You can think of these as mental shortcuts that are used to solve problems. A “rule of thumb” is an example of a heuristic. Such a rule saves the person time and energy when making a decision, but despite its time-saving characteristics, it is not always the best method for making a rational decision. Different types of heuristics are used in different types of situations, but the impulse to use a heuristic occurs when one of five conditions is met (Pratkanis, 1989):

• When one is faced with too much information
• When the time to make a decision is limited
• When the decision to be made is unimportant
• When there is access to very little information to use in making the decision
• When an appropriate heuristic happens to come to mind in the same moment

Working backwards is a useful heuristic in which you begin solving the problem by focusing on the end result. Consider this example: You live in Washington, D.C. and have been invited to a wedding at 4 PM on Saturday in Philadelphia. Knowing that Interstate 95 tends to back up any day of the week, you need to plan your route and time your departure accordingly. If you want to be at the wedding service by 3:30 PM, and it takes 2.5 hours to get to Philadelphia without traffic, what time should you leave your house? You use the working backwards heuristic to plan the events of your day on a regular basis, probably without even thinking about it.

Another useful heuristic is the practice of accomplishing a large goal or task by breaking it into a series of smaller steps. Students often use this common method to complete a large research project or long essay for school. For example, students typically brainstorm, develop a thesis or main topic, research the chosen topic, organize their information into an outline, write a rough draft, revise and edit the rough draft, develop a final draft, organize the references list, and proofread their work before turning in the project. The large task becomes less overwhelming when it is broken down into a series of small steps.

Further problem solving strategies have been identified (listed below) that incorporate flexible and creative thinking in order to reach solutions efficiently.

Additional Problem Solving Strategies :

• Abstraction – refers to solving the problem within a model of the situation before applying it to reality.
• Analogy – is using a solution that solves a similar problem.
• Brainstorming – refers to collecting an analyzing a large amount of solutions, especially within a group of people, to combine the solutions and developing them until an optimal solution is reached.
• Divide and conquer – breaking down large complex problems into smaller more manageable problems.
• Hypothesis testing – method used in experimentation where an assumption about what would happen in response to manipulating an independent variable is made, and analysis of the affects of the manipulation are made and compared to the original hypothesis.
• Lateral thinking – approaching problems indirectly and creatively by viewing the problem in a new and unusual light.
• Means-ends analysis – choosing and analyzing an action at a series of smaller steps to move closer to the goal.
• Method of focal objects – putting seemingly non-matching characteristics of different procedures together to make something new that will get you closer to the goal.
• Morphological analysis – analyzing the outputs of and interactions of many pieces that together make up a whole system.
• Proof – trying to prove that a problem cannot be solved. Where the proof fails becomes the starting point or solving the problem.
• Reduction – adapting the problem to be as similar problems where a solution exists.
• Research – using existing knowledge or solutions to similar problems to solve the problem.
• Root cause analysis – trying to identify the cause of the problem.

The strategies listed above outline a short summary of methods we use in working toward solutions and also demonstrate how the mind works when being faced with barriers preventing goals to be reached.

One example of means-end analysis can be found by using the Tower of Hanoi paradigm . This paradigm can be modeled as a word problems as demonstrated by the Missionary-Cannibal Problem :

Missionary-Cannibal Problem

Three missionaries and three cannibals are on one side of a river and need to cross to the other side. The only means of crossing is a boat, and the boat can only hold two people at a time. Your goal is to devise a set of moves that will transport all six of the people across the river, being in mind the following constraint: The number of cannibals can never exceed the number of missionaries in any location. Remember that someone will have to also row that boat back across each time.

Hint : At one point in your solution, you will have to send more people back to the original side than you just sent to the destination.

The actual Tower of Hanoi problem consists of three rods sitting vertically on a base with a number of disks of different sizes that can slide onto any rod. The puzzle starts with the disks in a neat stack in ascending order of size on one rod, the smallest at the top making a conical shape. The objective of the puzzle is to move the entire stack to another rod obeying the following rules:

• 1. Only one disk can be moved at a time.
• 2. Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod.
• 3. No disc may be placed on top of a smaller disk.

  Figure 7.02. Steps for solving the Tower of Hanoi in the minimum number of moves when there are 3 disks.

Figure 7.03. Graphical representation of nodes (circles) and moves (lines) of Tower of Hanoi.

The Tower of Hanoi is a frequently used psychological technique to study problem solving and procedure analysis. A variation of the Tower of Hanoi known as the Tower of London has been developed which has been an important tool in the neuropsychological diagnosis of executive function disorders and their treatment.

GESTALT PSYCHOLOGY AND PROBLEM SOLVING

As you may recall from the sensation and perception chapter, Gestalt psychology describes whole patterns, forms and configurations of perception and cognition such as closure, good continuation, and figure-ground. In addition to patterns of perception, Wolfgang Kohler, a German Gestalt psychologist traveled to the Spanish island of Tenerife in order to study animals behavior and problem solving in the anthropoid ape.

As an interesting side note to Kohler’s studies of chimp problem solving, Dr. Ronald Ley, professor of psychology at State University of New York provides evidence in his book A Whisper of Espionage  (1990) suggesting that while collecting data for what would later be his book  The Mentality of Apes (1925) on Tenerife in the Canary Islands between 1914 and 1920, Kohler was additionally an active spy for the German government alerting Germany to ships that were sailing around the Canary Islands. Ley suggests his investigations in England, Germany and elsewhere in Europe confirm that Kohler had served in the German military by building, maintaining and operating a concealed radio that contributed to Germany’s war effort acting as a strategic outpost in the Canary Islands that could monitor naval military activity approaching the north African coast.

While trapped on the island over the course of World War 1, Kohler applied Gestalt principles to animal perception in order to understand how they solve problems. He recognized that the apes on the islands also perceive relations between stimuli and the environment in Gestalt patterns and understand these patterns as wholes as opposed to pieces that make up a whole. Kohler based his theories of animal intelligence on the ability to understand relations between stimuli, and spent much of his time while trapped on the island investigation what he described as  insight , the sudden perception of useful or proper relations. In order to study insight in animals, Kohler would present problems to chimpanzee’s by hanging some banana’s or some kind of food so it was suspended higher than the apes could reach. Within the room, Kohler would arrange a variety of boxes, sticks or other tools the chimpanzees could use by combining in patterns or organizing in a way that would allow them to obtain the food (Kohler & Winter, 1925).

While viewing the chimpanzee’s, Kohler noticed one chimp that was more efficient at solving problems than some of the others. The chimp, named Sultan, was able to use long poles to reach through bars and organize objects in specific patterns to obtain food or other desirables that were originally out of reach. In order to study insight within these chimps, Kohler would remove objects from the room to systematically make the food more difficult to obtain. As the story goes, after removing many of the objects Sultan was used to using to obtain the food, he sat down ad sulked for a while, and then suddenly got up going over to two poles lying on the ground. Without hesitation Sultan put one pole inside the end of the other creating a longer pole that he could use to obtain the food demonstrating an ideal example of what Kohler described as insight. In another situation, Sultan discovered how to stand on a box to reach a banana that was suspended from the rafters illustrating Sultan’s perception of relations and the importance of insight in problem solving.

Grande (another chimp in the group studied by Kohler) builds a three-box structure to reach the bananas, while Sultan watches from the ground.  Insight , sometimes referred to as an “Ah-ha” experience, was the term Kohler used for the sudden perception of useful relations among objects during problem solving (Kohler, 1927; Radvansky & Ashcraft, 2013).

Solving puzzles.

   Problem-solving abilities can improve with practice. Many people challenge themselves every day with puzzles and other mental exercises to sharpen their problem-solving skills. Sudoku puzzles appear daily in most newspapers. Typically, a sudoku puzzle is a 9×9 grid. The simple sudoku below (see figure) is a 4×4 grid. To solve the puzzle, fill in the empty boxes with a single digit: 1, 2, 3, or 4. Here are the rules: The numbers must total 10 in each bolded box, each row, and each column; however, each digit can only appear once in a bolded box, row, and column. Time yourself as you solve this puzzle and compare your time with a classmate.

How long did it take you to solve this sudoku puzzle? (You can see the answer at the end of this section.)

   Here is another popular type of puzzle (figure below) that challenges your spatial reasoning skills. Connect all nine dots with four connecting straight lines without lifting your pencil from the paper:

Did you figure it out? (The answer is at the end of this section.) Once you understand how to crack this puzzle, you won’t forget.

   Take a look at the “Puzzling Scales” logic puzzle below (figure below). Sam Loyd, a well-known puzzle master, created and refined countless puzzles throughout his lifetime (Cyclopedia of Puzzles, n.d.).

What steps did you take to solve this puzzle? You can read the solution at the end of this section.

Pitfalls to problem solving.

   Not all problems are successfully solved, however. What challenges stop us from successfully solving a problem? Albert Einstein once said, “Insanity is doing the same thing over and over again and expecting a different result.” Imagine a person in a room that has four doorways. One doorway that has always been open in the past is now locked. The person, accustomed to exiting the room by that particular doorway, keeps trying to get out through the same doorway even though the other three doorways are open. The person is stuck—but she just needs to go to another doorway, instead of trying to get out through the locked doorway. A mental set is where you persist in approaching a problem in a way that has worked in the past but is clearly not working now.

Functional fixedness is a type of mental set where you cannot perceive an object being used for something other than what it was designed for. During the Apollo 13 mission to the moon, NASA engineers at Mission Control had to overcome functional fixedness to save the lives of the astronauts aboard the spacecraft. An explosion in a module of the spacecraft damaged multiple systems. The astronauts were in danger of being poisoned by rising levels of carbon dioxide because of problems with the carbon dioxide filters. The engineers found a way for the astronauts to use spare plastic bags, tape, and air hoses to create a makeshift air filter, which saved the lives of the astronauts.

   Researchers have investigated whether functional fixedness is affected by culture. In one experiment, individuals from the Shuar group in Ecuador were asked to use an object for a purpose other than that for which the object was originally intended. For example, the participants were told a story about a bear and a rabbit that were separated by a river and asked to select among various objects, including a spoon, a cup, erasers, and so on, to help the animals. The spoon was the only object long enough to span the imaginary river, but if the spoon was presented in a way that reflected its normal usage, it took participants longer to choose the spoon to solve the problem. (German & Barrett, 2005). The researchers wanted to know if exposure to highly specialized tools, as occurs with individuals in industrialized nations, affects their ability to transcend functional fixedness. It was determined that functional fixedness is experienced in both industrialized and nonindustrialized cultures (German & Barrett, 2005).

In order to make good decisions, we use our knowledge and our reasoning. Often, this knowledge and reasoning is sound and solid. Sometimes, however, we are swayed by biases or by others manipulating a situation. For example, let’s say you and three friends wanted to rent a house and had a combined target budget of $1,600. The realtor shows you only very run-down houses for $1,600 and then shows you a very nice house for $2,000. Might you ask each person to pay more in rent to get the $2,000 home? Why would the realtor show you the run-down houses and the nice house? The realtor may be challenging your anchoring bias. An anchoring bias occurs when you focus on one piece of information when making a decision or solving a problem. In this case, you’re so focused on the amount of money you are willing to spend that you may not recognize what kinds of houses are available at that price point.

The confirmation bias is the tendency to focus on information that confirms your existing beliefs. For example, if you think that your professor is not very nice, you notice all of the instances of rude behavior exhibited by the professor while ignoring the countless pleasant interactions he is involved in on a daily basis. Hindsight bias leads you to believe that the event you just experienced was predictable, even though it really wasn’t. In other words, you knew all along that things would turn out the way they did. Representative bias describes a faulty way of thinking, in which you unintentionally stereotype someone or something; for example, you may assume that your professors spend their free time reading books and engaging in intellectual conversation, because the idea of them spending their time playing volleyball or visiting an amusement park does not fit in with your stereotypes of professors.

Finally, the availability heuristic is a heuristic in which you make a decision based on an example, information, or recent experience that is that readily available to you, even though it may not be the best example to inform your decision . Biases tend to “preserve that which is already established—to maintain our preexisting knowledge, beliefs, attitudes, and hypotheses” (Aronson, 1995; Kahneman, 2011). These biases are summarized in the table below.

Were you able to determine how many marbles are needed to balance the scales in the figure below? You need nine. Were you able to solve the problems in the figures above? Here are the answers.

   Many different strategies exist for solving problems. Typical strategies include trial and error, applying algorithms, and using heuristics. To solve a large, complicated problem, it often helps to break the problem into smaller steps that can be accomplished individually, leading to an overall solution. Roadblocks to problem solving include a mental set, functional fixedness, and various biases that can cloud decision making skills.

References:

Openstax Psychology text by Kathryn Dumper, William Jenkins, Arlene Lacombe, Marilyn Lovett and Marion Perlmutter licensed under CC BY v4.0. https://openstax.org/details/books/psychology

Review Questions:

1. A specific formula for solving a problem is called ________.

a. an algorithm

b. a heuristic

c. a mental set

d. trial and error

2. Solving the Tower of Hanoi problem tends to utilize a  ________ strategy of problem solving.

a. divide and conquer

b. means-end analysis

d. experiment

3. A mental shortcut in the form of a general problem-solving framework is called ________.

4. Which type of bias involves becoming fixated on a single trait of a problem?

a. anchoring bias

b. confirmation bias

c. representative bias

d. availability bias

5. Which type of bias involves relying on a false stereotype to make a decision?

6. Wolfgang Kohler analyzed behavior of chimpanzees by applying Gestalt principles to describe ________.

a. social adjustment

b. student load payment options

c. emotional learning

d. insight learning

7. ________ is a type of mental set where you cannot perceive an object being used for something other than what it was designed for.

a. functional fixedness

c. working memory

Critical Thinking Questions:

1. What is functional fixedness and how can overcoming it help you solve problems?

2. How does an algorithm save you time and energy when solving a problem?

Personal Application Question:

1. Which type of bias do you recognize in your own decision making processes? How has this bias affected how you’ve made decisions in the past and how can you use your awareness of it to improve your decisions making skills in the future?

anchoring bias

availability heuristic

confirmation bias

functional fixedness

hindsight bias

problem-solving strategy

representative bias

trial and error

working backwards

Answers to Exercises

algorithm:  problem-solving strategy characterized by a specific set of instructions

anchoring bias:  faulty heuristic in which you fixate on a single aspect of a problem to find a solution

availability heuristic:  faulty heuristic in which you make a decision based on information readily available to you

confirmation bias:  faulty heuristic in which you focus on information that confirms your beliefs

functional fixedness:  inability to see an object as useful for any other use other than the one for which it was intended

heuristic:  mental shortcut that saves time when solving a problem

hindsight bias:  belief that the event just experienced was predictable, even though it really wasn’t

mental set:  continually using an old solution to a problem without results

problem-solving strategy:  method for solving problems

representative bias:  faulty heuristic in which you stereotype someone or something without a valid basis for your judgment

trial and error:  problem-solving strategy in which multiple solutions are attempted until the correct one is found

working backwards:  heuristic in which you begin to solve a problem by focusing on the end result

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48 Problem Solving

Department of Psychological and Brain Sciences, University of California, Santa Barbara

• Published: 03 June 2013
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Problem solving refers to cognitive processing directed at achieving a goal when the problem solver does not initially know a solution method. A problem exists when someone has a goal but does not know how to achieve it. Problems can be classified as routine or nonroutine, and as well defined or ill defined. The major cognitive processes in problem solving are representing, planning, executing, and monitoring. The major kinds of knowledge required for problem solving are facts, concepts, procedures, strategies, and beliefs. Classic theoretical approaches to the study of problem solving are associationism, Gestalt, and information processing. Current issues and suggested future issues include decision making, intelligence and creativity, teaching of thinking skills, expert problem solving, analogical reasoning, mathematical and scientific thinking, everyday thinking, and the cognitive neuroscience of problem solving. Common themes concern the domain specificity of problem solving and a focus on problem solving in authentic contexts.

The study of problem solving begins with defining problem solving, problem, and problem types. This introduction to problem solving is rounded out with an examination of cognitive processes in problem solving, the role of knowledge in problem solving, and historical approaches to the study of problem solving.

Definition of Problem Solving

Problem solving refers to cognitive processing directed at achieving a goal for which the problem solver does not initially know a solution method. This definition consists of four major elements (Mayer, 1992 ; Mayer & Wittrock, 2006 ):

Cognitive —Problem solving occurs within the problem solver’s cognitive system and can only be inferred indirectly from the problem solver’s behavior (including biological changes, introspections, and actions during problem solving). Process —Problem solving involves mental computations in which some operation is applied to a mental representation, sometimes resulting in the creation of a new mental representation. Directed —Problem solving is aimed at achieving a goal. Personal —Problem solving depends on the existing knowledge of the problem solver so that what is a problem for one problem solver may not be a problem for someone who already knows a solution method.

The definition is broad enough to include a wide array of cognitive activities such as deciding which apartment to rent, figuring out how to use a cell phone interface, playing a game of chess, making a medical diagnosis, finding the answer to an arithmetic word problem, or writing a chapter for a handbook. Problem solving is pervasive in human life and is crucial for human survival. Although this chapter focuses on problem solving in humans, problem solving also occurs in nonhuman animals and in intelligent machines.

How is problem solving related to other forms of high-level cognition processing, such as thinking and reasoning? Thinking refers to cognitive processing in individuals but includes both directed thinking (which corresponds to the definition of problem solving) and undirected thinking such as daydreaming (which does not correspond to the definition of problem solving). Thus, problem solving is a type of thinking (i.e., directed thinking).

Reasoning refers to problem solving within specific classes of problems, such as deductive reasoning or inductive reasoning. In deductive reasoning, the reasoner is given premises and must derive a conclusion by applying the rules of logic. For example, given that “A is greater than B” and “B is greater than C,” a reasoner can conclude that “A is greater than C.” In inductive reasoning, the reasoner is given (or has experienced) a collection of examples or instances and must infer a rule. For example, given that X, C, and V are in the “yes” group and x, c, and v are in the “no” group, the reasoning may conclude that B is in “yes” group because it is in uppercase format. Thus, reasoning is a type of problem solving.

Definition of Problem

A problem occurs when someone has a goal but does not know to achieve it. This definition is consistent with how the Gestalt psychologist Karl Duncker ( 1945 , p. 1) defined a problem in his classic monograph, On Problem Solving : “A problem arises when a living creature has a goal but does not know how this goal is to be reached.” However, today researchers recognize that the definition should be extended to include problem solving by intelligent machines. This definition can be clarified using an information processing approach by noting that a problem occurs when a situation is in the given state, the problem solver wants the situation to be in the goal state, and there is no obvious way to move from the given state to the goal state (Newell & Simon, 1972 ). Accordingly, the three main elements in describing a problem are the given state (i.e., the current state of the situation), the goal state (i.e., the desired state of the situation), and the set of allowable operators (i.e., the actions the problem solver is allowed to take). The definition of “problem” is broad enough to include the situation confronting a physician who wishes to make a diagnosis on the basis of preliminary tests and a patient examination, as well as a beginning physics student trying to solve a complex physics problem.

Types of Problems

It is customary in the problem-solving literature to make a distinction between routine and nonroutine problems. Routine problems are problems that are so familiar to the problem solver that the problem solver knows a solution method. For example, for most adults, “What is 365 divided by 12?” is a routine problem because they already know the procedure for long division. Nonroutine problems are so unfamiliar to the problem solver that the problem solver does not know a solution method. For example, figuring out the best way to set up a funding campaign for a nonprofit charity is a nonroutine problem for most volunteers. Technically, routine problems do not meet the definition of problem because the problem solver has a goal but knows how to achieve it. Much research on problem solving has focused on routine problems, although most interesting problems in life are nonroutine.

Another customary distinction is between well-defined and ill-defined problems. Well-defined problems have a clearly specified given state, goal state, and legal operators. Examples include arithmetic computation problems or games such as checkers or tic-tac-toe. Ill-defined problems have a poorly specified given state, goal state, or legal operators, or a combination of poorly defined features. Examples include solving the problem of global warming or finding a life partner. Although, ill-defined problems are more challenging, much research in problem solving has focused on well-defined problems.

Cognitive Processes in Problem Solving

The process of problem solving can be broken down into two main phases: problem representation , in which the problem solver builds a mental representation of the problem situation, and problem solution , in which the problem solver works to produce a solution. The major subprocess in problem representation is representing , which involves building a situation model —that is, a mental representation of the situation described in the problem. The major subprocesses in problem solution are planning , which involves devising a plan for how to solve the problem; executing , which involves carrying out the plan; and monitoring , which involves evaluating and adjusting one’s problem solving.

For example, given an arithmetic word problem such as “Alice has three marbles. Sarah has two more marbles than Alice. How many marbles does Sarah have?” the process of representing involves building a situation model in which Alice has a set of marbles, there is set of marbles for the difference between the two girls, and Sarah has a set of marbles that consists of Alice’s marbles and the difference set. In the planning process, the problem solver sets a goal of adding 3 and 2. In the executing process, the problem solver carries out the computation, yielding an answer of 5. In the monitoring process, the problem solver looks over what was done and concludes that 5 is a reasonable answer. In most complex problem-solving episodes, the four cognitive processes may not occur in linear order, but rather may interact with one another. Although some research focuses mainly on the execution process, problem solvers may tend to have more difficulty with the processes of representing, planning, and monitoring.

Knowledge for Problem Solving

An important theme in problem-solving research is that problem-solving proficiency on any task depends on the learner’s knowledge (Anderson et al., 2001 ; Mayer, 1992 ). Five kinds of knowledge are as follows:

Facts —factual knowledge about the characteristics of elements in the world, such as “Sacramento is the capital of California” Concepts —conceptual knowledge, including categories, schemas, or models, such as knowing the difference between plants and animals or knowing how a battery works Procedures —procedural knowledge of step-by-step processes, such as how to carry out long-division computations Strategies —strategic knowledge of general methods such as breaking a problem into parts or thinking of a related problem Beliefs —attitudinal knowledge about how one’s cognitive processing works such as thinking, “I’m good at this”

Although some research focuses mainly on the role of facts and procedures in problem solving, complex problem solving also depends on the problem solver’s concepts, strategies, and beliefs (Mayer, 1992 ).

Historical Approaches to Problem Solving

Psychological research on problem solving began in the early 1900s, as an outgrowth of mental philosophy (Humphrey, 1963 ; Mandler & Mandler, 1964 ). Throughout the 20th century four theoretical approaches developed: early conceptions, associationism, Gestalt psychology, and information processing.

Early Conceptions

The start of psychology as a science can be set at 1879—the year Wilhelm Wundt opened the first world’s psychology laboratory in Leipzig, Germany, and sought to train the world’s first cohort of experimental psychologists. Instead of relying solely on philosophical speculations about how the human mind works, Wundt sought to apply the methods of experimental science to issues addressed in mental philosophy. His theoretical approach became structuralism —the analysis of consciousness into its basic elements.

Wundt’s main contribution to the study of problem solving, however, was to call for its banishment. According to Wundt, complex cognitive processing was too complicated to be studied by experimental methods, so “nothing can be discovered in such experiments” (Wundt, 1911/1973 ). Despite his admonishments, however, a group of his former students began studying thinking mainly in Wurzburg, Germany. Using the method of introspection, subjects were asked to describe their thought process as they solved word association problems, such as finding the superordinate of “newspaper” (e.g., an answer is “publication”). Although the Wurzburg group—as they came to be called—did not produce a new theoretical approach, they found empirical evidence that challenged some of the key assumptions of mental philosophy. For example, Aristotle had proclaimed that all thinking involves mental imagery, but the Wurzburg group was able to find empirical evidence for imageless thought .

Associationism

The first major theoretical approach to take hold in the scientific study of problem solving was associationism —the idea that the cognitive representations in the mind consist of ideas and links between them and that cognitive processing in the mind involves following a chain of associations from one idea to the next (Mandler & Mandler, 1964 ; Mayer, 1992 ). For example, in a classic study, E. L. Thorndike ( 1911 ) placed a hungry cat in what he called a puzzle box—a wooden crate in which pulling a loop of string that hung from overhead would open a trap door to allow the cat to escape to a bowl of food outside the crate. Thorndike placed the cat in the puzzle box once a day for several weeks. On the first day, the cat engaged in many extraneous behaviors such as pouncing against the wall, pushing its paws through the slats, and meowing, but on successive days the number of extraneous behaviors tended to decrease. Overall, the time required to get out of the puzzle box decreased over the course of the experiment, indicating the cat was learning how to escape.

Thorndike’s explanation for how the cat learned to solve the puzzle box problem is based on an associationist view: The cat begins with a habit family hierarchy —a set of potential responses (e.g., pouncing, thrusting, meowing, etc.) all associated with the same stimulus (i.e., being hungry and confined) and ordered in terms of strength of association. When placed in the puzzle box, the cat executes its strongest response (e.g., perhaps pouncing against the wall), but when it fails, the strength of the association is weakened, and so on for each unsuccessful action. Eventually, the cat gets down to what was initially a weak response—waving its paw in the air—but when that response leads to accidentally pulling the string and getting out, it is strengthened. Over the course of many trials, the ineffective responses become weak and the successful response becomes strong. Thorndike refers to this process as the law of effect : Responses that lead to dissatisfaction become less associated with the situation and responses that lead to satisfaction become more associated with the situation. According to Thorndike’s associationist view, solving a problem is simply a matter of trial and error and accidental success. A major challenge to assocationist theory concerns the nature of transfer—that is, where does a problem solver find a creative solution that has never been performed before? Associationist conceptions of cognition can be seen in current research, including neural networks, connectionist models, and parallel distributed processing models (Rogers & McClelland, 2004 ).

Gestalt Psychology

The Gestalt approach to problem solving developed in the 1930s and 1940s as a counterbalance to the associationist approach. According to the Gestalt approach, cognitive representations consist of coherent structures (rather than individual associations) and the cognitive process of problem solving involves building a coherent structure (rather than strengthening and weakening of associations). For example, in a classic study, Kohler ( 1925 ) placed a hungry ape in a play yard that contained several empty shipping crates and a banana attached overhead but out of reach. Based on observing the ape in this situation, Kohler noted that the ape did not randomly try responses until one worked—as suggested by Thorndike’s associationist view. Instead, the ape stood under the banana, looked up at it, looked at the crates, and then in a flash of insight stacked the crates under the bananas as a ladder, and walked up the steps in order to reach the banana.

According to Kohler, the ape experienced a sudden visual reorganization in which the elements in the situation fit together in a way to solve the problem; that is, the crates could become a ladder that reduces the distance to the banana. Kohler referred to the underlying mechanism as insight —literally seeing into the structure of the situation. A major challenge of Gestalt theory is its lack of precision; for example, naming a process (i.e., insight) is not the same as explaining how it works. Gestalt conceptions can be seen in modern research on mental models and schemas (Gentner & Stevens, 1983 ).

Information Processing

The information processing approach to problem solving developed in the 1960s and 1970s and was based on the influence of the computer metaphor—the idea that humans are processors of information (Mayer, 2009 ). According to the information processing approach, problem solving involves a series of mental computations—each of which consists of applying a process to a mental representation (such as comparing two elements to determine whether they differ).

In their classic book, Human Problem Solving , Newell and Simon ( 1972 ) proposed that problem solving involved a problem space and search heuristics . A problem space is a mental representation of the initial state of the problem, the goal state of the problem, and all possible intervening states (based on applying allowable operators). Search heuristics are strategies for moving through the problem space from the given to the goal state. Newell and Simon focused on means-ends analysis , in which the problem solver continually sets goals and finds moves to accomplish goals.

Newell and Simon used computer simulation as a research method to test their conception of human problem solving. First, they asked human problem solvers to think aloud as they solved various problems such as logic problems, chess, and cryptarithmetic problems. Then, based on an information processing analysis, Newell and Simon created computer programs that solved these problems. In comparing the solution behavior of humans and computers, they found high similarity, suggesting that the computer programs were solving problems using the same thought processes as humans.

An important advantage of the information processing approach is that problem solving can be described with great clarity—as a computer program. An important limitation of the information processing approach is that it is most useful for describing problem solving for well-defined problems rather than ill-defined problems. The information processing conception of cognition lives on as a keystone of today’s cognitive science (Mayer, 2009 ).

Classic Issues in Problem Solving

Three classic issues in research on problem solving concern the nature of transfer (suggested by the associationist approach), the nature of insight (suggested by the Gestalt approach), and the role of problem-solving heuristics (suggested by the information processing approach).

Transfer refers to the effects of prior learning on new learning (or new problem solving). Positive transfer occurs when learning A helps someone learn B. Negative transfer occurs when learning A hinders someone from learning B. Neutral transfer occurs when learning A has no effect on learning B. Positive transfer is a central goal of education, but research shows that people often do not transfer what they learned to solving problems in new contexts (Mayer, 1992 ; Singley & Anderson, 1989 ).

Three conceptions of the mechanisms underlying transfer are specific transfer , general transfer , and specific transfer of general principles . Specific transfer refers to the idea that learning A will help someone learn B only if A and B have specific elements in common. For example, learning Spanish may help someone learn Latin because some of the vocabulary words are similar and the verb conjugation rules are similar. General transfer refers to the idea that learning A can help someone learn B even they have nothing specifically in common but A helps improve the learner’s mind in general. For example, learning Latin may help people learn “proper habits of mind” so they are better able to learn completely unrelated subjects as well. Specific transfer of general principles is the idea that learning A will help someone learn B if the same general principle or solution method is required for both even if the specific elements are different.

In a classic study, Thorndike and Woodworth ( 1901 ) found that students who learned Latin did not subsequently learn bookkeeping any better than students who had not learned Latin. They interpreted this finding as evidence for specific transfer—learning A did not transfer to learning B because A and B did not have specific elements in common. Modern research on problem-solving transfer continues to show that people often do not demonstrate general transfer (Mayer, 1992 ). However, it is possible to teach people a general strategy for solving a problem, so that when they see a new problem in a different context they are able to apply the strategy to the new problem (Judd, 1908 ; Mayer, 2008 )—so there is also research support for the idea of specific transfer of general principles.

Insight refers to a change in a problem solver’s mind from not knowing how to solve a problem to knowing how to solve it (Mayer, 1995 ; Metcalfe & Wiebe, 1987 ). In short, where does the idea for a creative solution come from? A central goal of problem-solving research is to determine the mechanisms underlying insight.

The search for insight has led to five major (but not mutually exclusive) explanatory mechanisms—insight as completing a schema, insight as suddenly reorganizing visual information, insight as reformulation of a problem, insight as removing mental blocks, and insight as finding a problem analog (Mayer, 1995 ). Completing a schema is exemplified in a study by Selz (Fridja & de Groot, 1982 ), in which people were asked to think aloud as they solved word association problems such as “What is the superordinate for newspaper?” To solve the problem, people sometimes thought of a coordinate, such as “magazine,” and then searched for a superordinate category that subsumed both terms, such as “publication.” According to Selz, finding a solution involved building a schema that consisted of a superordinate and two subordinate categories.

Reorganizing visual information is reflected in Kohler’s ( 1925 ) study described in a previous section in which a hungry ape figured out how to stack boxes as a ladder to reach a banana hanging above. According to Kohler, the ape looked around the yard and found the solution in a flash of insight by mentally seeing how the parts could be rearranged to accomplish the goal.

Reformulating a problem is reflected in a classic study by Duncker ( 1945 ) in which people are asked to think aloud as they solve the tumor problem—how can you destroy a tumor in a patient without destroying surrounding healthy tissue by using rays that at sufficient intensity will destroy any tissue in their path? In analyzing the thinking-aloud protocols—that is, transcripts of what the problem solvers said—Duncker concluded that people reformulated the goal in various ways (e.g., avoid contact with healthy tissue, immunize healthy tissue, have ray be weak in healthy tissue) until they hit upon a productive formulation that led to the solution (i.e., concentrating many weak rays on the tumor).

Removing mental blocks is reflected in classic studies by Duncker ( 1945 ) in which solving a problem involved thinking of a novel use for an object, and by Luchins ( 1942 ) in which solving a problem involved not using a procedure that had worked well on previous problems. Finding a problem analog is reflected in classic research by Wertheimer ( 1959 ) in which learning to find the area of a parallelogram is supported by the insight that one could cut off the triangle on one side and place it on the other side to form a rectangle—so a parallelogram is really a rectangle in disguise. The search for insight along each of these five lines continues in current problem-solving research.

Heuristics are problem-solving strategies, that is, general approaches to how to solve problems. Newell and Simon ( 1972 ) suggested three general problem-solving heuristics for moving from a given state to a goal state: random trial and error , hill climbing , and means-ends analysis . Random trial and error involves randomly selecting a legal move and applying it to create a new problem state, and repeating that process until the goal state is reached. Random trial and error may work for simple problems but is not efficient for complex ones. Hill climbing involves selecting the legal move that moves the problem solver closer to the goal state. Hill climbing will not work for problems in which the problem solver must take a move that temporarily moves away from the goal as is required in many problems.

Means-ends analysis involves creating goals and seeking moves that can accomplish the goal. If a goal cannot be directly accomplished, a subgoal is created to remove one or more obstacles. Newell and Simon ( 1972 ) successfully used means-ends analysis as the search heuristic in a computer program aimed at general problem solving, that is, solving a diverse collection of problems. However, people may also use specific heuristics that are designed to work for specific problem-solving situations (Gigerenzer, Todd, & ABC Research Group, 1999 ; Kahneman & Tversky, 1984 ).

Current and Future Issues in Problem Solving

Eight current issues in problem solving involve decision making, intelligence and creativity, teaching of thinking skills, expert problem solving, analogical reasoning, mathematical and scientific problem solving, everyday thinking, and the cognitive neuroscience of problem solving.

Decision Making

Decision making refers to the cognitive processing involved in choosing between two or more alternatives (Baron, 2000 ; Markman & Medin, 2002 ). For example, a decision-making task may involve choosing between getting $240 for sure or having a 25% change of getting $1000. According to economic theories such as expected value theory, people should chose the second option, which is worth $250 (i.e., .25 x $1000) rather than the first option, which is worth $240 (1.00 x $240), but psychological research shows that most people prefer the first option (Kahneman & Tversky, 1984 ).

Research on decision making has generated three classes of theories (Markman & Medin, 2002 ): descriptive theories, such as prospect theory (Kahneman & Tversky), which are based on the ideas that people prefer to overweight the cost of a loss and tend to overestimate small probabilities; heuristic theories, which are based on the idea that people use a collection of short-cut strategies such as the availability heuristic (Gigerenzer et al., 1999 ; Kahneman & Tversky, 2000 ); and constructive theories, such as mental accounting (Kahneman & Tversky, 2000 ), in which people build a narrative to justify their choices to themselves. Future research is needed to examine decision making in more realistic settings.

Intelligence and Creativity

Although researchers do not have complete consensus on the definition of intelligence (Sternberg, 1990 ), it is reasonable to view intelligence as the ability to learn or adapt to new situations. Fluid intelligence refers to the potential to solve problems without any relevant knowledge, whereas crystallized intelligence refers to the potential to solve problems based on relevant prior knowledge (Sternberg & Gregorenko, 2003 ). As people gain more experience in a field, their problem-solving performance depends more on crystallized intelligence (i.e., domain knowledge) than on fluid intelligence (i.e., general ability) (Sternberg & Gregorenko, 2003 ). The ability to monitor and manage one’s cognitive processing during problem solving—which can be called metacognition —is an important aspect of intelligence (Sternberg, 1990 ). Research is needed to pinpoint the knowledge that is needed to support intelligent performance on problem-solving tasks.

Creativity refers to the ability to generate ideas that are original (i.e., other people do not think of the same idea) and functional (i.e., the idea works; Sternberg, 1999 ). Creativity is often measured using tests of divergent thinking —that is, generating as many solutions as possible for a problem (Guilford, 1967 ). For example, the uses test asks people to list as many uses as they can think of for a brick. Creativity is different from intelligence, and it is at the heart of creative problem solving—generating a novel solution to a problem that the problem solver has never seen before. An important research question concerns whether creative problem solving depends on specific knowledge or creativity ability in general.

Teaching of Thinking Skills

How can people learn to be better problem solvers? Mayer ( 2008 ) proposes four questions concerning teaching of thinking skills:

What to teach —Successful programs attempt to teach small component skills (such as how to generate and evaluate hypotheses) rather than improve the mind as a single monolithic skill (Covington, Crutchfield, Davies, & Olton, 1974 ). How to teach —Successful programs focus on modeling the process of problem solving rather than solely reinforcing the product of problem solving (Bloom & Broder, 1950 ). Where to teach —Successful programs teach problem-solving skills within the specific context they will be used rather than within a general course on how to solve problems (Nickerson, 1999 ). When to teach —Successful programs teaching higher order skills early rather than waiting until lower order skills are completely mastered (Tharp & Gallimore, 1988 ).

Overall, research on teaching of thinking skills points to the domain specificity of problem solving; that is, successful problem solving depends on the problem solver having domain knowledge that is relevant to the problem-solving task.

Expert Problem Solving

Research on expertise is concerned with differences between how experts and novices solve problems (Ericsson, Feltovich, & Hoffman, 2006 ). Expertise can be defined in terms of time (e.g., 10 years of concentrated experience in a field), performance (e.g., earning a perfect score on an assessment), or recognition (e.g., receiving a Nobel Prize or becoming Grand Master in chess). For example, in classic research conducted in the 1940s, de Groot ( 1965 ) found that chess experts did not have better general memory than chess novices, but they did have better domain-specific memory for the arrangement of chess pieces on the board. Chase and Simon ( 1973 ) replicated this result in a better controlled experiment. An explanation is that experts have developed schemas that allow them to chunk collections of pieces into a single configuration.

In another landmark study, Larkin et al. ( 1980 ) compared how experts (e.g., physics professors) and novices (e.g., first-year physics students) solved textbook physics problems about motion. Experts tended to work forward from the given information to the goal, whereas novices tended to work backward from the goal to the givens using a means-ends analysis strategy. Experts tended to store their knowledge in an integrated way, whereas novices tended to store their knowledge in isolated fragments. In another study, Chi, Feltovich, and Glaser ( 1981 ) found that experts tended to focus on the underlying physics concepts (such as conservation of energy), whereas novices tended to focus on the surface features of the problem (such as inclined planes or springs). Overall, research on expertise is useful in pinpointing what experts know that is different from what novices know. An important theme is that experts rely on domain-specific knowledge rather than solely general cognitive ability.

Analogical Reasoning

Analogical reasoning occurs when people solve one problem by using their knowledge about another problem (Holyoak, 2005 ). For example, suppose a problem solver learns how to solve a problem in one context using one solution method and then is given a problem in another context that requires the same solution method. In this case, the problem solver must recognize that the new problem has structural similarity to the old problem (i.e., it may be solved by the same method), even though they do not have surface similarity (i.e., the cover stories are different). Three steps in analogical reasoning are recognizing —seeing that a new problem is similar to a previously solved problem; abstracting —finding the general method used to solve the old problem; and mapping —using that general method to solve the new problem.

Research on analogical reasoning shows that people often do not recognize that a new problem can be solved by the same method as a previously solved problem (Holyoak, 2005 ). However, research also shows that successful analogical transfer to a new problem is more likely when the problem solver has experience with two old problems that have the same underlying structural features (i.e., they are solved by the same principle) but different surface features (i.e., they have different cover stories) (Holyoak, 2005 ). This finding is consistent with the idea of specific transfer of general principles as described in the section on “Transfer.”

Mathematical and Scientific Problem Solving

Research on mathematical problem solving suggests that five kinds of knowledge are needed to solve arithmetic word problems (Mayer, 2008 ):

Factual knowledge —knowledge about the characteristics of problem elements, such as knowing that there are 100 cents in a dollar Schematic knowledge —knowledge of problem types, such as being able to recognize time-rate-distance problems Strategic knowledge —knowledge of general methods, such as how to break a problem into parts Procedural knowledge —knowledge of processes, such as how to carry our arithmetic operations Attitudinal knowledge —beliefs about one’s mathematical problem-solving ability, such as thinking, “I am good at this”

People generally possess adequate procedural knowledge but may have difficulty in solving mathematics problems because they lack factual, schematic, strategic, or attitudinal knowledge (Mayer, 2008 ). Research is needed to pinpoint the role of domain knowledge in mathematical problem solving.

Research on scientific problem solving shows that people harbor misconceptions, such as believing that a force is needed to keep an object in motion (McCloskey, 1983 ). Learning to solve science problems involves conceptual change, in which the problem solver comes to recognize that previous conceptions are wrong (Mayer, 2008 ). Students can be taught to engage in scientific reasoning such as hypothesis testing through direct instruction in how to control for variables (Chen & Klahr, 1999 ). A central theme of research on scientific problem solving concerns the role of domain knowledge.

Everyday Thinking

Everyday thinking refers to problem solving in the context of one’s life outside of school. For example, children who are street vendors tend to use different procedures for solving arithmetic problems when they are working on the streets than when they are in school (Nunes, Schlieman, & Carraher, 1993 ). This line of research highlights the role of situated cognition —the idea that thinking always is shaped by the physical and social context in which it occurs (Robbins & Aydede, 2009 ). Research is needed to determine how people solve problems in authentic contexts.

Cognitive Neuroscience of Problem Solving

The cognitive neuroscience of problem solving is concerned with the brain activity that occurs during problem solving. For example, using fMRI brain imaging methodology, Goel ( 2005 ) found that people used the language areas of the brain to solve logical reasoning problems presented in sentences (e.g., “All dogs are pets…”) and used the spatial areas of the brain to solve logical reasoning problems presented in abstract letters (e.g., “All D are P…”). Cognitive neuroscience holds the potential to make unique contributions to the study of problem solving.

Problem solving has always been a topic at the fringe of cognitive psychology—too complicated to study intensively but too important to completely ignore. Problem solving—especially in realistic environments—is messy in comparison to studying elementary processes in cognition. The field remains fragmented in the sense that topics such as decision making, reasoning, intelligence, expertise, mathematical problem solving, everyday thinking, and the like are considered to be separate topics, each with its own separate literature. Yet some recurring themes are the role of domain-specific knowledge in problem solving and the advantages of studying problem solving in authentic contexts.

Future Directions

Some important issues for future research include the three classic issues examined in this chapter—the nature of problem-solving transfer (i.e., How are people able to use what they know about previous problem solving to help them in new problem solving?), the nature of insight (e.g., What is the mechanism by which a creative solution is constructed?), and heuristics (e.g., What are some teachable strategies for problem solving?). In addition, future research in problem solving should continue to pinpoint the role of domain-specific knowledge in problem solving, the nature of cognitive ability in problem solving, how to help people develop proficiency in solving problems, and how to provide aids for problem solving.

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Baron, J. ( 2008 ). Thinking and deciding (4th ed). New York: Cambridge University Press.

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In this chapter, Bowen and Glesson consider the problems of organization and communication, as well as those mytholiminal problems that arise from the characteristic human search for meaning and transcendence. Settlement systems enable, facilitate, and intensify the social interaction necessary for cultural evolution to occur. And yet changes in material systems, living systems, and social systems continue to create ubiquitous problems in human settlements. Humans must solve problems that are rooted in both material and non-material goals in order to adapt to changes within their environments. Sometimes they do so through the use of rationality and conscious purpose, and sometimes through rote application of the routines that are built into cultures and institutions. Yet human problem-solving activities almost invariably produce unintended consequences.

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Before you can move towards finding the right solution for a given problem, you first need to identify and define the problem you wish to solve. 

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Finding solutions is the end goal of any process. Complex organizational challenges can only be solved with an appropriate solution but discovering them requires using the right problem-solving tool.

After you’ve explored a problem and discussed ideas, you need to help a team discuss and choose the right solution. Consensus tools and methods such as those below help a group explore possible solutions before then voting for the best. They’re a great way to tap into the collective intelligence of the group for great results!

Remember that the process is often iterative. Great problem solvers often roadtest a viable solution in a measured way to see what works too. While you might not get the right solution on your first try, the methods below help teams land on the most likely to succeed solution while also holding space for improvement.

Every effective problem solving process begins with an agenda . A well-structured workshop is one of the best methods for successfully guiding a group from exploring a problem to implementing a solution.

In SessionLab, it’s easy to go from an idea to a complete agenda . Start by dragging and dropping your core problem solving activities into place . Add timings, breaks and necessary materials before sharing your agenda with your colleagues.

The resulting agenda will be your guide to an effective and productive problem solving session that will also help you stay organized on the day!

Tips for more effective problem solving

Problem-solving activities are only one part of the puzzle. While a great method can help unlock your team’s ability to solve problems, without a thoughtful approach and strong facilitation the solutions may not be fit for purpose.

Let’s take a look at some problem-solving tips you can apply to any process to help it be a success!

Clearly define the problem

Jumping straight to solutions can be tempting, though without first clearly articulating a problem, the solution might not be the right one. Many of the problem-solving activities below include sections where the problem is explored and clearly defined before moving on.

This is a vital part of the problem-solving process and taking the time to fully define an issue can save time and effort later. A clear definition helps identify irrelevant information and it also ensures that your team sets off on the right track.

Don’t jump to conclusions

It’s easy for groups to exhibit cognitive bias or have preconceived ideas about both problems and potential solutions. Be sure to back up any problem statements or potential solutions with facts, research, and adequate forethought.

The best techniques ask participants to be methodical and challenge preconceived notions. Make sure you give the group enough time and space to collect relevant information and consider the problem in a new way. By approaching the process with a clear, rational mindset, you’ll often find that better solutions are more forthcoming.  

Try different approaches  

Problems come in all shapes and sizes and so too should the methods you use to solve them. If you find that one approach isn’t yielding results and your team isn’t finding different solutions, try mixing it up. You’ll be surprised at how using a new creative activity can unblock your team and generate great solutions.

Don’t take it personally 

Depending on the nature of your team or organizational problems, it’s easy for conversations to get heated. While it’s good for participants to be engaged in the discussions, ensure that emotions don’t run too high and that blame isn’t thrown around while finding solutions.

You’re all in it together, and even if your team or area is seeing problems, that isn’t necessarily a disparagement of you personally. Using facilitation skills to manage group dynamics is one effective method of helping conversations be more constructive.

Get the right people in the room

Your problem-solving method is often only as effective as the group using it. Getting the right people on the job and managing the number of people present is important too!

If the group is too small, you may not get enough different perspectives to effectively solve a problem. If the group is too large, you can go round and round during the ideation stages.

Creating the right group makeup is also important in ensuring you have the necessary expertise and skillset to both identify and follow up on potential solutions. Carefully consider who to include at each stage to help ensure your problem-solving method is followed and positioned for success.

Document everything

The best solutions can take refinement, iteration, and reflection to come out. Get into a habit of documenting your process in order to keep all the learnings from the session and to allow ideas to mature and develop. Many of the methods below involve the creation of documents or shared resources. Be sure to keep and share these so everyone can benefit from the work done!

Bring a facilitator 

Facilitation is all about making group processes easier. With a subject as potentially emotive and important as problem-solving, having an impartial third party in the form of a facilitator can make all the difference in finding great solutions and keeping the process moving. Consider bringing a facilitator to your problem-solving session to get better results and generate meaningful solutions!

Develop your problem-solving skills

It takes time and practice to be an effective problem solver. While some roles or participants might more naturally gravitate towards problem-solving, it can take development and planning to help everyone create better solutions.

You might develop a training program, run a problem-solving workshop or simply ask your team to practice using the techniques below. Check out our post on problem-solving skills to see how you and your group can develop the right mental process and be more resilient to issues too!

Design a great agenda

Workshops are a great format for solving problems. With the right approach, you can focus a group and help them find the solutions to their own problems. But designing a process can be time-consuming and finding the right activities can be difficult.

Check out our workshop planning guide to level-up your agenda design and start running more effective workshops. Need inspiration? Check out templates designed by expert facilitators to help you kickstart your process!

In this section, we’ll look at in-depth problem-solving methods that provide a complete end-to-end process for developing effective solutions. These will help guide your team from the discovery and definition of a problem through to delivering the right solution.

If you’re looking for an all-encompassing method or problem-solving model, these processes are a great place to start. They’ll ask your team to challenge preconceived ideas and adopt a mindset for solving problems more effectively.

• Six Thinking Hats
• Lightning Decision Jam
• Problem Definition Process
• Discovery & Action Dialogue

Design Sprint 2.0

• Open Space Technology

1. Six Thinking Hats

Individual approaches to solving a problem can be very different based on what team or role an individual holds. It can be easy for existing biases or perspectives to find their way into the mix, or for internal politics to direct a conversation.

Six Thinking Hats is a classic method for identifying the problems that need to be solved and enables your team to consider them from different angles, whether that is by focusing on facts and data, creative solutions, or by considering why a particular solution might not work.

Like all problem-solving frameworks, Six Thinking Hats is effective at helping teams remove roadblocks from a conversation or discussion and come to terms with all the aspects necessary to solve complex problems.

2. Lightning Decision Jam

Featured courtesy of Jonathan Courtney of AJ&Smart Berlin, Lightning Decision Jam is one of those strategies that should be in every facilitation toolbox. Exploring problems and finding solutions is often creative in nature, though as with any creative process, there is the potential to lose focus and get lost.

Unstructured discussions might get you there in the end, but it’s much more effective to use a method that creates a clear process and team focus.

In Lightning Decision Jam, participants are invited to begin by writing challenges, concerns, or mistakes on post-its without discussing them before then being invited by the moderator to present them to the group.

From there, the team vote on which problems to solve and are guided through steps that will allow them to reframe those problems, create solutions and then decide what to execute on. 

By deciding the problems that need to be solved as a team before moving on, this group process is great for ensuring the whole team is aligned and can take ownership over the next stages. 

Lightning Decision Jam (LDJ)   #action   #decision making   #problem solving   #issue analysis   #innovation   #design   #remote-friendly   The problem with anything that requires creative thinking is that it’s easy to get lost—lose focus and fall into the trap of having useless, open-ended, unstructured discussions. Here’s the most effective solution I’ve found: Replace all open, unstructured discussion with a clear process. What to use this exercise for: Anything which requires a group of people to make decisions, solve problems or discuss challenges. It’s always good to frame an LDJ session with a broad topic, here are some examples: The conversion flow of our checkout Our internal design process How we organise events Keeping up with our competition Improving sales flow

3. Problem Definition Process

While problems can be complex, the problem-solving methods you use to identify and solve those problems can often be simple in design. 

By taking the time to truly identify and define a problem before asking the group to reframe the challenge as an opportunity, this method is a great way to enable change.

Begin by identifying a focus question and exploring the ways in which it manifests before splitting into five teams who will each consider the problem using a different method: escape, reversal, exaggeration, distortion or wishful. Teams develop a problem objective and create ideas in line with their method before then feeding them back to the group.

This method is great for enabling in-depth discussions while also creating space for finding creative solutions too!

Problem Definition   #problem solving   #idea generation   #creativity   #online   #remote-friendly   A problem solving technique to define a problem, challenge or opportunity and to generate ideas.

4. The 5 Whys 

Sometimes, a group needs to go further with their strategies and analyze the root cause at the heart of organizational issues. An RCA or root cause analysis is the process of identifying what is at the heart of business problems or recurring challenges. 

The 5 Whys is a simple and effective method of helping a group go find the root cause of any problem or challenge and conduct analysis that will deliver results. 

By beginning with the creation of a problem statement and going through five stages to refine it, The 5 Whys provides everything you need to truly discover the cause of an issue.

The 5 Whys   #hyperisland   #innovation   This simple and powerful method is useful for getting to the core of a problem or challenge. As the title suggests, the group defines a problems, then asks the question “why” five times, often using the resulting explanation as a starting point for creative problem solving.

5. World Cafe

World Cafe is a simple but powerful facilitation technique to help bigger groups to focus their energy and attention on solving complex problems.

World Cafe enables this approach by creating a relaxed atmosphere where participants are able to self-organize and explore topics relevant and important to them which are themed around a central problem-solving purpose. Create the right atmosphere by modeling your space after a cafe and after guiding the group through the method, let them take the lead!

Making problem-solving a part of your organization’s culture in the long term can be a difficult undertaking. More approachable formats like World Cafe can be especially effective in bringing people unfamiliar with workshops into the fold. 

World Cafe   #hyperisland   #innovation   #issue analysis   World Café is a simple yet powerful method, originated by Juanita Brown, for enabling meaningful conversations driven completely by participants and the topics that are relevant and important to them. Facilitators create a cafe-style space and provide simple guidelines. Participants then self-organize and explore a set of relevant topics or questions for conversation.

6. Discovery & Action Dialogue (DAD)

One of the best approaches is to create a safe space for a group to share and discover practices and behaviors that can help them find their own solutions.

With DAD, you can help a group choose which problems they wish to solve and which approaches they will take to do so. It’s great at helping remove resistance to change and can help get buy-in at every level too!

This process of enabling frontline ownership is great in ensuring follow-through and is one of the methods you will want in your toolbox as a facilitator.

Discovery & Action Dialogue (DAD)   #idea generation   #liberating structures   #action   #issue analysis   #remote-friendly   DADs make it easy for a group or community to discover practices and behaviors that enable some individuals (without access to special resources and facing the same constraints) to find better solutions than their peers to common problems. These are called positive deviant (PD) behaviors and practices. DADs make it possible for people in the group, unit, or community to discover by themselves these PD practices. DADs also create favorable conditions for stimulating participants’ creativity in spaces where they can feel safe to invent new and more effective practices. Resistance to change evaporates as participants are unleashed to choose freely which practices they will adopt or try and which problems they will tackle. DADs make it possible to achieve frontline ownership of solutions.

7. Design Sprint 2.0

Want to see how a team can solve big problems and move forward with prototyping and testing solutions in a few days? The Design Sprint 2.0 template from Jake Knapp, author of Sprint, is a complete agenda for a with proven results.

Developing the right agenda can involve difficult but necessary planning. Ensuring all the correct steps are followed can also be stressful or time-consuming depending on your level of experience.

Use this complete 4-day workshop template if you are finding there is no obvious solution to your challenge and want to focus your team around a specific problem that might require a shortcut to launching a minimum viable product or waiting for the organization-wide implementation of a solution.

8. Open space technology

Open space technology- developed by Harrison Owen – creates a space where large groups are invited to take ownership of their problem solving and lead individual sessions. Open space technology is a great format when you have a great deal of expertise and insight in the room and want to allow for different takes and approaches on a particular theme or problem you need to be solved.

Start by bringing your participants together to align around a central theme and focus their efforts. Explain the ground rules to help guide the problem-solving process and then invite members to identify any issue connecting to the central theme that they are interested in and are prepared to take responsibility for.

Once participants have decided on their approach to the core theme, they write their issue on a piece of paper, announce it to the group, pick a session time and place, and post the paper on the wall. As the wall fills up with sessions, the group is then invited to join the sessions that interest them the most and which they can contribute to, then you’re ready to begin!

Everyone joins the problem-solving group they’ve signed up to, record the discussion and if appropriate, findings can then be shared with the rest of the group afterward.

Open Space Technology   #action plan   #idea generation   #problem solving   #issue analysis   #large group   #online   #remote-friendly   Open Space is a methodology for large groups to create their agenda discerning important topics for discussion, suitable for conferences, community gatherings and whole system facilitation

Techniques to identify and analyze problems

Using a problem-solving method to help a team identify and analyze a problem can be a quick and effective addition to any workshop or meeting.

While further actions are always necessary, you can generate momentum and alignment easily, and these activities are a great place to get started.

We’ve put together this list of techniques to help you and your team with problem identification, analysis, and discussion that sets the foundation for developing effective solutions.

Let’s take a look!

• The Creativity Dice
• Fishbone Analysis
• Problem Tree
• SWOT Analysis
• Agreement-Certainty Matrix
• The Journalistic Six
• LEGO Challenge
• What, So What, Now What?
• Journalists

Individual and group perspectives are incredibly important, but what happens if people are set in their minds and need a change of perspective in order to approach a problem more effectively?

Flip It is a method we love because it is both simple to understand and run, and allows groups to understand how their perspectives and biases are formed. 

Participants in Flip It are first invited to consider concerns, issues, or problems from a perspective of fear and write them on a flip chart. Then, the group is asked to consider those same issues from a perspective of hope and flip their understanding.  

No problem and solution is free from existing bias and by changing perspectives with Flip It, you can then develop a problem solving model quickly and effectively.

Flip It!   #gamestorming   #problem solving   #action   Often, a change in a problem or situation comes simply from a change in our perspectives. Flip It! is a quick game designed to show players that perspectives are made, not born.

10. The Creativity Dice

One of the most useful problem solving skills you can teach your team is of approaching challenges with creativity, flexibility, and openness. Games like The Creativity Dice allow teams to overcome the potential hurdle of too much linear thinking and approach the process with a sense of fun and speed. 

In The Creativity Dice, participants are organized around a topic and roll a dice to determine what they will work on for a period of 3 minutes at a time. They might roll a 3 and work on investigating factual information on the chosen topic. They might roll a 1 and work on identifying the specific goals, standards, or criteria for the session.

Encouraging rapid work and iteration while asking participants to be flexible are great skills to cultivate. Having a stage for idea incubation in this game is also important. Moments of pause can help ensure the ideas that are put forward are the most suitable. 

The Creativity Dice   #creativity   #problem solving   #thiagi   #issue analysis   Too much linear thinking is hazardous to creative problem solving. To be creative, you should approach the problem (or the opportunity) from different points of view. You should leave a thought hanging in mid-air and move to another. This skipping around prevents premature closure and lets your brain incubate one line of thought while you consciously pursue another.

11. Fishbone Analysis

Organizational or team challenges are rarely simple, and it’s important to remember that one problem can be an indication of something that goes deeper and may require further consideration to be solved.

Fishbone Analysis helps groups to dig deeper and understand the origins of a problem. It’s a great example of a root cause analysis method that is simple for everyone on a team to get their head around. 

Participants in this activity are asked to annotate a diagram of a fish, first adding the problem or issue to be worked on at the head of a fish before then brainstorming the root causes of the problem and adding them as bones on the fish. 

Using abstractions such as a diagram of a fish can really help a team break out of their regular thinking and develop a creative approach.

Fishbone Analysis   #problem solving   ##root cause analysis   #decision making   #online facilitation   A process to help identify and understand the origins of problems, issues or observations.

12. Problem Tree 

Encouraging visual thinking can be an essential part of many strategies. By simply reframing and clarifying problems, a group can move towards developing a problem solving model that works for them. 

In Problem Tree, groups are asked to first brainstorm a list of problems – these can be design problems, team problems or larger business problems – and then organize them into a hierarchy. The hierarchy could be from most important to least important or abstract to practical, though the key thing with problem solving games that involve this aspect is that your group has some way of managing and sorting all the issues that are raised.

Once you have a list of problems that need to be solved and have organized them accordingly, you’re then well-positioned for the next problem solving steps.

Problem tree   #define intentions   #create   #design   #issue analysis   A problem tree is a tool to clarify the hierarchy of problems addressed by the team within a design project; it represents high level problems or related sublevel problems.

13. SWOT Analysis

Chances are you’ve heard of the SWOT Analysis before. This problem-solving method focuses on identifying strengths, weaknesses, opportunities, and threats is a tried and tested method for both individuals and teams.

Start by creating a desired end state or outcome and bare this in mind – any process solving model is made more effective by knowing what you are moving towards. Create a quadrant made up of the four categories of a SWOT analysis and ask participants to generate ideas based on each of those quadrants.

Once you have those ideas assembled in their quadrants, cluster them together based on their affinity with other ideas. These clusters are then used to facilitate group conversations and move things forward. 

SWOT analysis   #gamestorming   #problem solving   #action   #meeting facilitation   The SWOT Analysis is a long-standing technique of looking at what we have, with respect to the desired end state, as well as what we could improve on. It gives us an opportunity to gauge approaching opportunities and dangers, and assess the seriousness of the conditions that affect our future. When we understand those conditions, we can influence what comes next.

14. Agreement-Certainty Matrix

Not every problem-solving approach is right for every challenge, and deciding on the right method for the challenge at hand is a key part of being an effective team.

The Agreement Certainty matrix helps teams align on the nature of the challenges facing them. By sorting problems from simple to chaotic, your team can understand what methods are suitable for each problem and what they can do to ensure effective results. 

If you are already using Liberating Structures techniques as part of your problem-solving strategy, the Agreement-Certainty Matrix can be an invaluable addition to your process. We’ve found it particularly if you are having issues with recurring problems in your organization and want to go deeper in understanding the root cause. 

Agreement-Certainty Matrix   #issue analysis   #liberating structures   #problem solving   You can help individuals or groups avoid the frequent mistake of trying to solve a problem with methods that are not adapted to the nature of their challenge. The combination of two questions makes it possible to easily sort challenges into four categories: simple, complicated, complex , and chaotic .  A problem is simple when it can be solved reliably with practices that are easy to duplicate.  It is complicated when experts are required to devise a sophisticated solution that will yield the desired results predictably.  A problem is complex when there are several valid ways to proceed but outcomes are not predictable in detail.  Chaotic is when the context is too turbulent to identify a path forward.  A loose analogy may be used to describe these differences: simple is like following a recipe, complicated like sending a rocket to the moon, complex like raising a child, and chaotic is like the game “Pin the Tail on the Donkey.”  The Liberating Structures Matching Matrix in Chapter 5 can be used as the first step to clarify the nature of a challenge and avoid the mismatches between problems and solutions that are frequently at the root of chronic, recurring problems.

Organizing and charting a team’s progress can be important in ensuring its success. SQUID (Sequential Question and Insight Diagram) is a great model that allows a team to effectively switch between giving questions and answers and develop the skills they need to stay on track throughout the process. 

Begin with two different colored sticky notes – one for questions and one for answers – and with your central topic (the head of the squid) on the board. Ask the group to first come up with a series of questions connected to their best guess of how to approach the topic. Ask the group to come up with answers to those questions, fix them to the board and connect them with a line. After some discussion, go back to question mode by responding to the generated answers or other points on the board.

It’s rewarding to see a diagram grow throughout the exercise, and a completed SQUID can provide a visual resource for future effort and as an example for other teams.

SQUID   #gamestorming   #project planning   #issue analysis   #problem solving   When exploring an information space, it’s important for a group to know where they are at any given time. By using SQUID, a group charts out the territory as they go and can navigate accordingly. SQUID stands for Sequential Question and Insight Diagram.

16. Speed Boat

To continue with our nautical theme, Speed Boat is a short and sweet activity that can help a team quickly identify what employees, clients or service users might have a problem with and analyze what might be standing in the way of achieving a solution.

Methods that allow for a group to make observations, have insights and obtain those eureka moments quickly are invaluable when trying to solve complex problems.

In Speed Boat, the approach is to first consider what anchors and challenges might be holding an organization (or boat) back. Bonus points if you are able to identify any sharks in the water and develop ideas that can also deal with competitors!   

Speed Boat   #gamestorming   #problem solving   #action   Speedboat is a short and sweet way to identify what your employees or clients don’t like about your product/service or what’s standing in the way of a desired goal.

17. The Journalistic Six

Some of the most effective ways of solving problems is by encouraging teams to be more inclusive and diverse in their thinking.

Based on the six key questions journalism students are taught to answer in articles and news stories, The Journalistic Six helps create teams to see the whole picture. By using who, what, when, where, why, and how to facilitate the conversation and encourage creative thinking, your team can make sure that the problem identification and problem analysis stages of the are covered exhaustively and thoughtfully. Reporter’s notebook and dictaphone optional.

The Journalistic Six – Who What When Where Why How   #idea generation   #issue analysis   #problem solving   #online   #creative thinking   #remote-friendly   A questioning method for generating, explaining, investigating ideas.

18. LEGO Challenge

Now for an activity that is a little out of the (toy) box. LEGO Serious Play is a facilitation methodology that can be used to improve creative thinking and problem-solving skills. 

The LEGO Challenge includes giving each member of the team an assignment that is hidden from the rest of the group while they create a structure without speaking.

What the LEGO challenge brings to the table is a fun working example of working with stakeholders who might not be on the same page to solve problems. Also, it’s LEGO! Who doesn’t love LEGO! 

LEGO Challenge   #hyperisland   #team   A team-building activity in which groups must work together to build a structure out of LEGO, but each individual has a secret “assignment” which makes the collaborative process more challenging. It emphasizes group communication, leadership dynamics, conflict, cooperation, patience and problem solving strategy.

19. What, So What, Now What?

If not carefully managed, the problem identification and problem analysis stages of the problem-solving process can actually create more problems and misunderstandings.

The What, So What, Now What? problem-solving activity is designed to help collect insights and move forward while also eliminating the possibility of disagreement when it comes to identifying, clarifying, and analyzing organizational or work problems. 

Facilitation is all about bringing groups together so that might work on a shared goal and the best problem-solving strategies ensure that teams are aligned in purpose, if not initially in opinion or insight.

Throughout the three steps of this game, you give everyone on a team to reflect on a problem by asking what happened, why it is important, and what actions should then be taken. 

This can be a great activity for bringing our individual perceptions about a problem or challenge and contextualizing it in a larger group setting. This is one of the most important problem-solving skills you can bring to your organization.

W³ – What, So What, Now What?   #issue analysis   #innovation   #liberating structures   You can help groups reflect on a shared experience in a way that builds understanding and spurs coordinated action while avoiding unproductive conflict. It is possible for every voice to be heard while simultaneously sifting for insights and shaping new direction. Progressing in stages makes this practical—from collecting facts about What Happened to making sense of these facts with So What and finally to what actions logically follow with Now What . The shared progression eliminates most of the misunderstandings that otherwise fuel disagreements about what to do. Voila!

20. Journalists  

Problem analysis can be one of the most important and decisive stages of all problem-solving tools. Sometimes, a team can become bogged down in the details and are unable to move forward.

Journalists is an activity that can avoid a group from getting stuck in the problem identification or problem analysis stages of the process.

In Journalists, the group is invited to draft the front page of a fictional newspaper and figure out what stories deserve to be on the cover and what headlines those stories will have. By reframing how your problems and challenges are approached, you can help a team move productively through the process and be better prepared for the steps to follow.

Journalists   #vision   #big picture   #issue analysis   #remote-friendly   This is an exercise to use when the group gets stuck in details and struggles to see the big picture. Also good for defining a vision.

Problem-solving techniques for developing solutions 

The success of any problem-solving process can be measured by the solutions it produces. After you’ve defined the issue, explored existing ideas, and ideated, it’s time to narrow down to the correct solution.

Use these problem-solving techniques when you want to help your team find consensus, compare possible solutions, and move towards taking action on a particular problem.

• Improved Solutions
• Four-Step Sketch
• 15% Solutions
• How-Now-Wow matrix
• Impact Effort Matrix

21. Mindspin  

Brainstorming is part of the bread and butter of the problem-solving process and all problem-solving strategies benefit from getting ideas out and challenging a team to generate solutions quickly. 

With Mindspin, participants are encouraged not only to generate ideas but to do so under time constraints and by slamming down cards and passing them on. By doing multiple rounds, your team can begin with a free generation of possible solutions before moving on to developing those solutions and encouraging further ideation. 

This is one of our favorite problem-solving activities and can be great for keeping the energy up throughout the workshop. Remember the importance of helping people become engaged in the process – energizing problem-solving techniques like Mindspin can help ensure your team stays engaged and happy, even when the problems they’re coming together to solve are complex. 

MindSpin   #teampedia   #idea generation   #problem solving   #action   A fast and loud method to enhance brainstorming within a team. Since this activity has more than round ideas that are repetitive can be ruled out leaving more creative and innovative answers to the challenge.

22. Improved Solutions

After a team has successfully identified a problem and come up with a few solutions, it can be tempting to call the work of the problem-solving process complete. That said, the first solution is not necessarily the best, and by including a further review and reflection activity into your problem-solving model, you can ensure your group reaches the best possible result. 

One of a number of problem-solving games from Thiagi Group, Improved Solutions helps you go the extra mile and develop suggested solutions with close consideration and peer review. By supporting the discussion of several problems at once and by shifting team roles throughout, this problem-solving technique is a dynamic way of finding the best solution. 

Improved Solutions   #creativity   #thiagi   #problem solving   #action   #team   You can improve any solution by objectively reviewing its strengths and weaknesses and making suitable adjustments. In this creativity framegame, you improve the solutions to several problems. To maintain objective detachment, you deal with a different problem during each of six rounds and assume different roles (problem owner, consultant, basher, booster, enhancer, and evaluator) during each round. At the conclusion of the activity, each player ends up with two solutions to her problem.

23. Four Step Sketch

Creative thinking and visual ideation does not need to be confined to the opening stages of your problem-solving strategies. Exercises that include sketching and prototyping on paper can be effective at the solution finding and development stage of the process, and can be great for keeping a team engaged. 

By going from simple notes to a crazy 8s round that involves rapidly sketching 8 variations on their ideas before then producing a final solution sketch, the group is able to iterate quickly and visually. Problem-solving techniques like Four-Step Sketch are great if you have a group of different thinkers and want to change things up from a more textual or discussion-based approach.

Four-Step Sketch   #design sprint   #innovation   #idea generation   #remote-friendly   The four-step sketch is an exercise that helps people to create well-formed concepts through a structured process that includes: Review key information Start design work on paper,  Consider multiple variations , Create a detailed solution . This exercise is preceded by a set of other activities allowing the group to clarify the challenge they want to solve. See how the Four Step Sketch exercise fits into a Design Sprint

24. 15% Solutions

Some problems are simpler than others and with the right problem-solving activities, you can empower people to take immediate actions that can help create organizational change. 

Part of the liberating structures toolkit, 15% solutions is a problem-solving technique that focuses on finding and implementing solutions quickly. A process of iterating and making small changes quickly can help generate momentum and an appetite for solving complex problems.

Problem-solving strategies can live and die on whether people are onboard. Getting some quick wins is a great way of getting people behind the process.   

It can be extremely empowering for a team to realize that problem-solving techniques can be deployed quickly and easily and delineate between things they can positively impact and those things they cannot change. 

15% Solutions   #action   #liberating structures   #remote-friendly   You can reveal the actions, however small, that everyone can do immediately. At a minimum, these will create momentum, and that may make a BIG difference.  15% Solutions show that there is no reason to wait around, feel powerless, or fearful. They help people pick it up a level. They get individuals and the group to focus on what is within their discretion instead of what they cannot change.  With a very simple question, you can flip the conversation to what can be done and find solutions to big problems that are often distributed widely in places not known in advance. Shifting a few grains of sand may trigger a landslide and change the whole landscape.

25. How-Now-Wow Matrix

The problem-solving process is often creative, as complex problems usually require a change of thinking and creative response in order to find the best solutions. While it’s common for the first stages to encourage creative thinking, groups can often gravitate to familiar solutions when it comes to the end of the process. 

When selecting solutions, you don’t want to lose your creative energy! The How-Now-Wow Matrix from Gamestorming is a great problem-solving activity that enables a group to stay creative and think out of the box when it comes to selecting the right solution for a given problem.

Problem-solving techniques that encourage creative thinking and the ideation and selection of new solutions can be the most effective in organisational change. Give the How-Now-Wow Matrix a go, and not just for how pleasant it is to say out loud. 

How-Now-Wow Matrix   #gamestorming   #idea generation   #remote-friendly   When people want to develop new ideas, they most often think out of the box in the brainstorming or divergent phase. However, when it comes to convergence, people often end up picking ideas that are most familiar to them. This is called a ‘creative paradox’ or a ‘creadox’. The How-Now-Wow matrix is an idea selection tool that breaks the creadox by forcing people to weigh each idea on 2 parameters.

26. Impact and Effort Matrix

All problem-solving techniques hope to not only find solutions to a given problem or challenge but to find the best solution. When it comes to finding a solution, groups are invited to put on their decision-making hats and really think about how a proposed idea would work in practice. 

The Impact and Effort Matrix is one of the problem-solving techniques that fall into this camp, empowering participants to first generate ideas and then categorize them into a 2×2 matrix based on impact and effort.

Activities that invite critical thinking while remaining simple are invaluable. Use the Impact and Effort Matrix to move from ideation and towards evaluating potential solutions before then committing to them. 

Impact and Effort Matrix   #gamestorming   #decision making   #action   #remote-friendly   In this decision-making exercise, possible actions are mapped based on two factors: effort required to implement and potential impact. Categorizing ideas along these lines is a useful technique in decision making, as it obliges contributors to balance and evaluate suggested actions before committing to them.

27. Dotmocracy

If you’ve followed each of the problem-solving steps with your group successfully, you should move towards the end of your process with heaps of possible solutions developed with a specific problem in mind. But how do you help a group go from ideation to putting a solution into action? 

Dotmocracy – or Dot Voting -is a tried and tested method of helping a team in the problem-solving process make decisions and put actions in place with a degree of oversight and consensus. 

One of the problem-solving techniques that should be in every facilitator’s toolbox, Dot Voting is fast and effective and can help identify the most popular and best solutions and help bring a group to a decision effectively. 

Dotmocracy   #action   #decision making   #group prioritization   #hyperisland   #remote-friendly   Dotmocracy is a simple method for group prioritization or decision-making. It is not an activity on its own, but a method to use in processes where prioritization or decision-making is the aim. The method supports a group to quickly see which options are most popular or relevant. The options or ideas are written on post-its and stuck up on a wall for the whole group to see. Each person votes for the options they think are the strongest, and that information is used to inform a decision.

All facilitators know that warm-ups and icebreakers are useful for any workshop or group process. Problem-solving workshops are no different.

Use these problem-solving techniques to warm up a group and prepare them for the rest of the process. Activating your group by tapping into some of the top problem-solving skills can be one of the best ways to see great outcomes from your session.

• Check-in/Check-out
• Doodling Together
• Show and Tell
• Constellations
• Draw a Tree

28. Check-in / Check-out

Solid processes are planned from beginning to end, and the best facilitators know that setting the tone and establishing a safe, open environment can be integral to a successful problem-solving process.

Check-in / Check-out is a great way to begin and/or bookend a problem-solving workshop. Checking in to a session emphasizes that everyone will be seen, heard, and expected to contribute. 

If you are running a series of meetings, setting a consistent pattern of checking in and checking out can really help your team get into a groove. We recommend this opening-closing activity for small to medium-sized groups though it can work with large groups if they’re disciplined!

Check-in / Check-out   #team   #opening   #closing   #hyperisland   #remote-friendly   Either checking-in or checking-out is a simple way for a team to open or close a process, symbolically and in a collaborative way. Checking-in/out invites each member in a group to be present, seen and heard, and to express a reflection or a feeling. Checking-in emphasizes presence, focus and group commitment; checking-out emphasizes reflection and symbolic closure.

29. Doodling Together  

Thinking creatively and not being afraid to make suggestions are important problem-solving skills for any group or team, and warming up by encouraging these behaviors is a great way to start. 

Doodling Together is one of our favorite creative ice breaker games – it’s quick, effective, and fun and can make all following problem-solving steps easier by encouraging a group to collaborate visually. By passing cards and adding additional items as they go, the workshop group gets into a groove of co-creation and idea development that is crucial to finding solutions to problems. 

Doodling Together   #collaboration   #creativity   #teamwork   #fun   #team   #visual methods   #energiser   #icebreaker   #remote-friendly   Create wild, weird and often funny postcards together & establish a group’s creative confidence.

30. Show and Tell

You might remember some version of Show and Tell from being a kid in school and it’s a great problem-solving activity to kick off a session.

Asking participants to prepare a little something before a workshop by bringing an object for show and tell can help them warm up before the session has even begun! Games that include a physical object can also help encourage early engagement before moving onto more big-picture thinking.

By asking your participants to tell stories about why they chose to bring a particular item to the group, you can help teams see things from new perspectives and see both differences and similarities in the way they approach a topic. Great groundwork for approaching a problem-solving process as a team! 

Show and Tell   #gamestorming   #action   #opening   #meeting facilitation   Show and Tell taps into the power of metaphors to reveal players’ underlying assumptions and associations around a topic The aim of the game is to get a deeper understanding of stakeholders’ perspectives on anything—a new project, an organizational restructuring, a shift in the company’s vision or team dynamic.

31. Constellations

Who doesn’t love stars? Constellations is a great warm-up activity for any workshop as it gets people up off their feet, energized, and ready to engage in new ways with established topics. It’s also great for showing existing beliefs, biases, and patterns that can come into play as part of your session.

Using warm-up games that help build trust and connection while also allowing for non-verbal responses can be great for easing people into the problem-solving process and encouraging engagement from everyone in the group. Constellations is great in large spaces that allow for movement and is definitely a practical exercise to allow the group to see patterns that are otherwise invisible. 

Constellations   #trust   #connection   #opening   #coaching   #patterns   #system   Individuals express their response to a statement or idea by standing closer or further from a central object. Used with teams to reveal system, hidden patterns, perspectives.

32. Draw a Tree

Problem-solving games that help raise group awareness through a central, unifying metaphor can be effective ways to warm-up a group in any problem-solving model.

Draw a Tree is a simple warm-up activity you can use in any group and which can provide a quick jolt of energy. Start by asking your participants to draw a tree in just 45 seconds – they can choose whether it will be abstract or realistic. 

Once the timer is up, ask the group how many people included the roots of the tree and use this as a means to discuss how we can ignore important parts of any system simply because they are not visible.

All problem-solving strategies are made more effective by thinking of problems critically and by exposing things that may not normally come to light. Warm-up games like Draw a Tree are great in that they quickly demonstrate some key problem-solving skills in an accessible and effective way.

Draw a Tree   #thiagi   #opening   #perspectives   #remote-friendly   With this game you can raise awarness about being more mindful, and aware of the environment we live in.

Each step of the problem-solving workshop benefits from an intelligent deployment of activities, games, and techniques. Bringing your session to an effective close helps ensure that solutions are followed through on and that you also celebrate what has been achieved.

Here are some problem-solving activities you can use to effectively close a workshop or meeting and ensure the great work you’ve done can continue afterward.

• One Breath Feedback
• Who What When Matrix
• Response Cards

How do I conclude a problem-solving process?

All good things must come to an end. With the bulk of the work done, it can be tempting to conclude your workshop swiftly and without a moment to debrief and align. This can be problematic in that it doesn’t allow your team to fully process the results or reflect on the process.

At the end of an effective session, your team will have gone through a process that, while productive, can be exhausting. It’s important to give your group a moment to take a breath, ensure that they are clear on future actions, and provide short feedback before leaving the space. 

The primary purpose of any problem-solving method is to generate solutions and then implement them. Be sure to take the opportunity to ensure everyone is aligned and ready to effectively implement the solutions you produced in the workshop.

Remember that every process can be improved and by giving a short moment to collect feedback in the session, you can further refine your problem-solving methods and see further success in the future too.

33. One Breath Feedback

Maintaining attention and focus during the closing stages of a problem-solving workshop can be tricky and so being concise when giving feedback can be important. It’s easy to incur “death by feedback” should some team members go on for too long sharing their perspectives in a quick feedback round. 

One Breath Feedback is a great closing activity for workshops. You give everyone an opportunity to provide feedback on what they’ve done but only in the space of a single breath. This keeps feedback short and to the point and means that everyone is encouraged to provide the most important piece of feedback to them. 

One breath feedback   #closing   #feedback   #action   This is a feedback round in just one breath that excels in maintaining attention: each participants is able to speak during just one breath … for most people that’s around 20 to 25 seconds … unless of course you’ve been a deep sea diver in which case you’ll be able to do it for longer.

34. Who What When Matrix 

Matrices feature as part of many effective problem-solving strategies and with good reason. They are easily recognizable, simple to use, and generate results.

The Who What When Matrix is a great tool to use when closing your problem-solving session by attributing a who, what and when to the actions and solutions you have decided upon. The resulting matrix is a simple, easy-to-follow way of ensuring your team can move forward. 

Great solutions can’t be enacted without action and ownership. Your problem-solving process should include a stage for allocating tasks to individuals or teams and creating a realistic timeframe for those solutions to be implemented or checked out. Use this method to keep the solution implementation process clear and simple for all involved. 

Who/What/When Matrix   #gamestorming   #action   #project planning   With Who/What/When matrix, you can connect people with clear actions they have defined and have committed to.

35. Response cards

Group discussion can comprise the bulk of most problem-solving activities and by the end of the process, you might find that your team is talked out! 

Providing a means for your team to give feedback with short written notes can ensure everyone is head and can contribute without the need to stand up and talk. Depending on the needs of the group, giving an alternative can help ensure everyone can contribute to your problem-solving model in the way that makes the most sense for them.

Response Cards is a great way to close a workshop if you are looking for a gentle warm-down and want to get some swift discussion around some of the feedback that is raised. 

Response Cards   #debriefing   #closing   #structured sharing   #questions and answers   #thiagi   #action   It can be hard to involve everyone during a closing of a session. Some might stay in the background or get unheard because of louder participants. However, with the use of Response Cards, everyone will be involved in providing feedback or clarify questions at the end of a session.

Save time and effort discovering the right solutions

A structured problem solving process is a surefire way of solving tough problems, discovering creative solutions and driving organizational change. But how can you design for successful outcomes?

With SessionLab, it’s easy to design engaging workshops that deliver results. Drag, drop and reorder blocks  to build your agenda. When you make changes or update your agenda, your session  timing   adjusts automatically , saving you time on manual adjustments.

Collaborating with stakeholders or clients? Share your agenda with a single click and collaborate in real-time. No more sending documents back and forth over email.

Explore  how to use SessionLab  to design effective problem solving workshops or  watch this five minute video  to see the planner in action!

Over to you

The problem-solving process can often be as complicated and multifaceted as the problems they are set-up to solve. With the right problem-solving techniques and a mix of creative exercises designed to guide discussion and generate purposeful ideas, we hope we’ve given you the tools to find the best solutions as simply and easily as possible.

Is there a problem-solving technique that you are missing here? Do you have a favorite activity or method you use when facilitating? Let us know in the comments below, we’d love to hear from you! 

thank you very much for these excellent techniques

Certainly wonderful article, very detailed. Shared!

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Home » Learning Theories » General Problem Solver (A. Newell & H. Simon)

General Problem Solver (A. Newell & H. Simon)

The General Problem Solver (GPS) was a theory of human problem solving stated in the form of a simulation program (Ernst & Newell, 1969; Newell & Simon, 1972). This program and the associated theoretical framework had a significant impact on the subsequent direction of cognitive psychology. It also introduced the use of productions as a method for specifying cognitive models.

The theoretical framework was information processing and attempted to explain all behavior as a function of memory operations, control processes and rules. The methodology for testing the theory involved developing a computer simulation and then comparing the results of the simulation with human behavior in a given task. Such comparisons also made use of protocol analysis (Ericsson & Simon, 1984) in which the verbal reports of a person solving a task are used as indicators of cognitive processes.

GPS was intended to provide a core set of processes that could be used to solve a variety of different types of problems. The critical step in solving a problem with GPS is the definition of the problem space in terms of the goal to be achieved and the transformation rules. Using a means-end-analysis approach, GPS would divide the overall goal into subgoals and attempt to solve each of those. Some of the basic solution rules include: (1) transform one object into another, (2) reduce the different between two objects, and (3) apply an operator to an object. One of the key elements need by GPS to solve problems was an operator-difference table that specified what transformations were possible.

Application

While GPS was intended to be a general problem-solver, it could only be applied to “well-defined” problems such as proving theorems in logic or geometry, word puzzles and chess.  However, GPS was the basis other theoretical work by Newell et al. such as  SOAR  and  GOMS . Newell (1990) provides a summary of how this work evolved.

Here is a trace of GPS solving the logic problem to transform L1= R*(-P => Q) into L2=(Q \/ P)*R (Newell & Simon, 1972, p420):

Goal 1: Transform L1 into LO Goal 2: Reduce difference between L1 and L0 Goal 3: Apply R1 to L1 Goal 4: Transform L1 into condition (R1) Produce L2: (-P => Q) *R Goal 5: Transform L2 into L0 Goal 6: Reduce difference between left(L2) and left(L0) Goal 7: Apply R5 to left(L2) Goal 8: Transform left(L2) into condition(R5) Goal 9: Reduce difference between left(L2) and condition(R5) Rejected: No easier than Goal 6 Goal 10: Apply R6 to left(L2) Goal 11: Transform left(L2) into condition(R5) Produce L3: (P \/ Q) *R Goal 12: Transform L3 into L0 Goal 13: Reduce difference between left(L3) and left(L0) Goal 14: Apply R1 to left(L3) Goal 15: Transform left(L3) into condition(R1) Produce L4: (Q \/ P)*R Goal 16: Transform L4 into L0 Identical, QED

• Problem-solving behavior involves means-ends-analysis, i.e., breaking a problem down into subcomponents (subgoals) and solving each of those.
• Ericsson, K. & Simon, H. (1984). Protocol Analysis. Cambridge, MA: MIT Press.
• Ernst, G. & Newell, A. (1969). GPS: A Case Study in Generality and Problem Solving. New York: Academic Press.
• Newell, A. (1990). Unified Theories of Cognition. Cambridge, MA: Harvard University Press.
• Newell, A. & Simon, H. (1972). Human Problem Solving. Englewood Cliffs, NJ: Prentice-Hall.

Why Humans Have Problems

And how we can change.

Posted January 16, 2016

When you step back and look at who we are and how we got here, it is not surprising that we have problems. We humans are mammals with a difference. We have the amazing ability to reflect on ourselves and our choices. Mostly we stay in our "comfort zone" but occasionally, we really disagree with what our mind has in mind and decide to leave what is most comfortable to do what our thinking self deems best.

But notice that only we humans have such a highly developed ability to self-observe and think. That means that the majority of our problem solving ability comes from before we existed and goes on behind the scenes as it does in other mammals. So what our minds do is find what they think is the right answer, pop it into our consciousness, and send us feelings, thoughts and impulses to make sure we follow our mind's advice. That's what makes up our comfort zone.

Is it a surprise that the problem solving coming from the "black box" of our non-conscious mind is not always correct? A lot of the patterns we develop come from very early ages, when our mind's grasp of reality is not yet mature. Then add on top of that, that many of the problems we solve have to do with kids and parents, and are not that relevant to where our adult life ends up. What if, in early life, your mind learned it is safer never to trust. Then as an adult, you will have real problems with relationships.

In my new book, Getting the Most From Your Therapy: Become an Educated Consumer , I show you the 18 different ways your mind can lead you astray. But the bottom line is that there are two paths to change.

One is to face your difficult feelings. This means allowing yourself to experience them in a full, visceral way. Open the windows and doors of your feelings and let them out in he context of a safe and empathic connection with someone you trust. Recent science has shown that this actually allows you to erase the fears and negative associations from which your mind was trying to protect you.

The other is to use your reflective mind to go against your comfort zone and trade in the dysfunctional behaviors that keep you stuck with your mind's attempts at problem solving. Of course, someone who doesn't have your blind spots will help you identify these, and a rooting section helps a lot, too.

If you use these two approaches, starting with whichever one is easiest, you can teach yourself new ways to solve problems that are much more effective than your mammalian mind's best efforts. It isn't always easy, but it isn't rocket science, either.

See my website, http://www.howtherapyworks.com for more information and a link to the new book on Amazon. It will be free on Wednesday, January 20, 2016.

Jeffrey Smith, M.D., teaches at the psychiatry residency program at New York Medical College.

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For a human problem, a humanities solution

Most, if not all, of the major challenges of our time require us to consider a time far beyond the present. Consider climate change – a process that will affect the next generation, or even the generation after that, far more than the current one.

However, human beings often struggle with this type of thinking.

"Long-range planning is really one of our big problems. We don’t do it very well, or very often, or with very great intelligence,” says Sally Kitch, director of the Institute for Humanities Research and a Regents’ Professor of women and gender studies at ASU.

A group of scholars at Arizona State University is helping us do better at addressing long-term sustainability problems by using a potent combination of humanistic scholarship and scientific research.

Scientists and engineers are paying increased attention to sustainability issues these days, developing solutions like sophisticated solar panels, algae-based fuels, sleek wind turbines and artificial leaves. Despite the given inclination toward techno-scientific approaches, the human element is just as important. We cannot solve sustainability problems without major transformations in the way humans live and think.

“We have technological advances that could go a long way to solving some of these problems. But we aren't implementing them. We don't have the political or social will to make the kinds of dramatic changes in our values, in our sense of comfort and well-being in the world, that are really required if we're going to get off of the fossil fuel gravy train that shapes our current political and economic systems,” says Kitch.

The emerging, interdisciplinary discipline of the “environmental humanities” is taking on the challenge of de-railing that train and shifting our focus to long-term, human-centered solutions.

Joni Adamson, a professor in the Department of English , has been working to advance the field since she was a graduate student, when the “movement” in the humanities, as she calls it, first started.

“We started out as just a small group of literary critics who were interested in literature and film focused on the environment, and we’ve created organizations and international networks that do not have as their goal only the reading of texts,” she says. “We want to change the ways that humans understand their relationships to the natural world and to all the species that live on the planet.”

Environment in the age of man

One way Kitch and Adamson are approaching this world-altering ambition is through their leadership in the international Humanities for the Environment project. Started in 2012, the project is funded as part of a three-year, $1.2 million grant from the Andrew W. Mellon Foundation through the Consortium for Humanities Centers and Institutes.

There are three main branches of the project: the Australian Observatory , the European Observatory , and the North American Observatory , with an Asian Observatory being planned. Kitch is lead researcher of the North American Observatory, which is headquartered at ASU. Its stated mission is “Building Resilience in the Anthropocene.” But what is the Anthropocene?

According to Kitch, it’s a concept that “suggests we’ve entered a time in which human activities are significantly shaping the geological future of the planet.”

For instance, she says, humans are moving elements that used to be underground, such as fossil fuels, and transferring them to the atmosphere.

Despite the growing use of the term, we’re officially still in the Holocene, an epoch that began 11,700 years ago. The International Union of Geological Sciences is the organization that is officially in charge of defining Earth’s geologic timescale. As of yet, they haven’t declared the Anthropocene’s beginning, but many scientists use the term anyway.

“The term ‘Anthropocene’ is being embraced for a lot of different groups because it's handy shorthand for the transformations we're working with,” says Kitch. These transformations include rapidly decreasing biodiversity, migrations triggered by higher temperatures and air and water pollution.

“Many of these are effects of human activity, which are the root of sustainability issues, as they are at the root of the environmental crisis to begin with,” says Kitch. “So what we realize now and what this project [Humanities for the Environment] is all about is bringing the study of the human into the deep sustainability challenges.”

A plateful of values

The North American Observatory is split into several “clusters": Northeast ,  Southeast and West , which Kitch and Adamson co-lead. The West cluster is headquartered at ASU, although the regional names don’t limit the participants. Each cluster involves multiple universities from a variety of regions.

The theme of the West cluster is “Environmental Sustainability and Social Justice.” One of its projects is Dinner 2040 , which explores the theme through the lens of food and food culture, asking what people in Phoenix will be eating in the year 2040.

“It's very hard to get people motivated to think about climate because people don't really get it; they don't see climate,” says Joan McGregor, a professor in ASU’s School of Historical, Philosophical, and Religious Studies , who leads the Dinner 2040 project. “But people care about food, and it turns out that our food production system is a big contributor to global climate change.”

McGregor and others on the project brought together a group of culinary professionals, indigenous communities, farmers, policy experts, planners and others for a charrette. During the workshop, they discussed and strategized about what the future of Arizona’s food and food system could, and should, be.

“[The project] emphasizes that whatever you put on your plate illustrates your values,” says Adamson.

During intensive discussions, participants decided what values would need to be developed in the present in order to make sure certain foods, or types of foods, would still be available to eat in 2040.

For example, our current approach to getting protein in our diet mainly revolves around eating large vertebrates. However, we are already seeing significant environmental, social and ethical consequences due to intensive farming of these types of animals. A solution, says Adamson, might be to start eating insects, such as crickets. Insects provide huge amounts of protein without creating nearly as much impact on the environment as raising cattle, pigs, turkeys and even chickens does.

But if we are squeamish about eating bugs, as many Westerners may be, then the question becomes: What values, desires and behaviors would we need to change in order to make sure we could still eat the meat we love 25 years from now?

Because food is so personal and central to culture, Dinner 2040 was intentionally limited to Phoenix and Maricopa County.

“[We wanted to think about food’s] impact on the environmental integrity of a place, a particular place. So rather than thinking in global terms, we were thinking more on place-based kind of food production and consumption,” says McGregor.

The process of creating the Dinner 2040 workshop – and the actual dinner that will be held next year – is being turned into a template that other cities or universities can replicate in order to think about the future of food in their own areas. Other university and community groups around the country are already planning their own dinners, McGregor says.

Designing the future

Both of the other main projects of the West cluster, Life Overlooked and the Archive of Hope and Cautionary Tales , also act as templates that other groups can use to explore the environment through a humanistic lens.

The major outcomes of the projects are featured on the Humanities for the Environment website, itself an outcome of the project. The site acts as a digital hub connecting all the facets of the project, as well as an arena for further research and collaboration, and a public face for the environmental humanities. Not only does the site help increase the humanities’ visibility, it also shows, through videos, essays, interactive maps and more, that humanities scholarship involves more than sitting alone in a dusty room, leafing through an ancient tome with white-gloved hands. It can make meaningful and necessary contributions to addressing the most pressing problems of the 21st century.

Perhaps one of the most important and intriguing outcomes of the HfE project, however, is the new narrative it is aiming to create. Humans are a story-telling species: there is no culture without some tradition of storytelling. The narrative, more than anything else, is the province of the humanities, according to Kitch.

“One of our ideas about outcomes is that we are writing a new, complex narrative suited to the new era that we're living in, the Anthropocene, and whatever it's going to bring,” she says. “Not that you can produce a coherent narrative that works for every single person on Earth, that's not possible. But [we can make] new chapters for people to think about as ways of designing the future. “

While popular media, and even many scholars, tend to trumpet the decline of the humanities, projects like Humanities for the Environment show that they are relevant to society’s most pressing problems. The great challenges that we are facing today cannot be solved without addressing the fundamental human beliefs, values and desires that underlie them.

“In some disciplines,” says Adamson, “you’re discouraged from talking about the subjective.” But especially in cases of sustainability, people need to be able to talk about their values. The humanities provide a space for this.

“Human values are embedded in everything we do,” says Adamson. “Everything we do from here on forward needs to be interdisciplinary.”

Written by Erin Barton, Office of Knowledge Enterprise Development.

Editor's Note: The author was a student in Joni Adamson's Environmental Nonfiction class during the fall 2014 semester and contributed an essay to the Life Overlooked project.

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Is Your AI-First Strategy Causing More Problems Than It’s Solving?

• Oguz A. Acar

Consider a more balanced and thoughtful approach to AI transformation.

The problem with an AI-first strategy lies not within the “AI” but with the notion that it should come “first” aspect. An AI-first approach can be myopic, potentially leading us to overlook the true purpose of technology: to serve and enhance human endeavors. Instead, the author recommends following 3Ps during an AI transformation: problem-centric, people-first, and principle-driven.

From technology giants like Google to major management consultants like McKinsey , a rapidly growing number of companies preach an “AI-first” strategy. In essence, this means considering AI as the ultimate strategic priority , one that precedes other alternative directions. At first glance, this strategy seems logical, perhaps even inevitable. The figures speak for themselves: the sheer volume of investment flowing into AI technologies shows the confidence levels in an increasingly AI-driven future.

• Oguz A. Acar is a Chair in Marketing at King’s Business School, King’s College London.

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Promoting Problem-solving Skills in Young Children

Roselia Ramirez : I'd like to welcome you to the Home Visiting webinar series. We are happy that you have joined us today. The topic for our session is focused on problem-solving and how home visitors can partner with parents to really support its development. Before we get started, we want to tell you a little bit about us and want to have you meet your hosts for today's session.

My name is Roselia Ramirez and I am a senior training and technical assistance specialist at the National Center on Early Childhood Development Teaching and Learning, or DTL for short. I'm happy to be joining you from my home state of Arizona, and I'm going to turn it over to my colleagues and have them introduce themselves. Hey Joyce.

Joyce Escorcia: I am Joyce Escorcia, and thanks everyone for choosing to spend your hour with us. I work alongside Roselia and Sarah at DTL as a senior T and T specialist. You may have seen me in the Coaching Corner webinars and some other places and spaces. Thanks for joining us. We're excited to dig into our topic today. Sarah, do you want to introduce yourself, and share a little bit about yourself?

Sarah Basler: I'm excited to join you all today; you might recognize me as one of the presenters of the Coaching Corner webinar series and my role and work tends to be around coaching and specifically using PBC to support practitioners and even supporting coaches in their PBC practice. I also have a background in pyramid model practices. I'm excited to be here today and talk with you all about problem-solving, which is one of my passions. Thanks so much for having me today.

Roselia: Thanks for joining us, Sarah. It's exciting to see you and to have you as our guest for today on this often-challenging topic for many home visitors as well as parents. Thank you again, and it's so nice to see you. We do probably have some new viewers joining us today. We were wondering if you could start by giving an overview of the Practice-Based Coaching model and then share with our viewers some of the benefits of coaching for a home visitor.

Sarah: Sure. A quick little recap for some of you, and an introduction for others, Practice-Based Coaching or PBC as we call it for short, is a coaching model that when used with fidelity can lead to positive outcomes for children and their families. PBC can be used with anyone, so you can, a coach can support teachers or support home visitors, family childcare providers, or even other coaches. We refer to those that are receiving the coaching as a coachee, to support them to use a set of effective practices. PBC is a content-ready model, which means that any set of practices can be the focus for the middle of the cycle, visual, and so whatever set of practices that you might want to be the focus of coaching can go in the middle there.

The coach and the coachee together identify some strengths and needs related to those effective practices that have been selected for coaching and together they write a goal and an action plan to support that coachee in their implementation of those goals. The coach and the coachee engage in focused observation. The coach will come in and observe the coachee using those effective practices selected in their action plan. Then they meet and reflect about what happened during the focused observation, and the coach will give some feedback, some supportive, and some constructive feedback.

All of these components of PBC fit within a collaborative partnership. PBC occurs in that context, and it's really about a coach and a coachee coming together to work together and support the implementation of those effective practices. When we think about what those benefits might be for a home visitor, a home visitor could share with their coach, challenges that they might be facing related to working with families and together, a coach and the home visitor could talk through maybe some possible solutions or strategies that the home visitor may want to try with the family or support the home visitor in learning a little bit more about a certain set of effective practices.

Sometimes it's really nice to have that support and a colleague to ask your questions and get some ideas. A coach can support a home visitor to grow their home visiting practices. A coach could support them not only around maybe effective practices to try with the, to support the family to use, but could support the home visitor in growing their home visiting practices themselves. Thinking about how to enhance those skills.

Roselia: Thanks, Sarah, I really like the whole notion. The first thing that kind of comes to my mind is this whole idea of having a thought partner. But before we go any further into this topic, and this discussion, if you're just joining the session, we would like to remind you to visit that teal color widget that's at the bottom of your screen. Here's where you can gain access to this participant's guide that you're seeing a little screenshot on your screen now. This resource is intended to be interactive and you're going to hear us reference it and then direct you there during the session for some opportunities for engagement as well as some reflection.

I also want to point out that on the first page of the participant's guide, you're going to find some icons and images that we have been using in our home webinar series, such as the focus on equity segment and this is represented by that little magnifying glass image. I also wanted to mention that not every one of our Home Visiting webinars will have each of the segments in each of the webinars, but just to give you an idea of what those are when you do see them. The other thing we want to do before we go any further is we want to review the learning objectives that we have established for this session.

We have identified and framed the session around two learning goals. First, by the end of the session, we anticipate that you'll be able to describe some essential components of problem-solving, and then second, that you will have some practical strategies and resources that are intended to not only strengthen but nurture problem-solving within that home environment. Now in your participant's guide, we have provided a space for you to reflect and to think about your own learning goals and what you would like to walk away with from this session. Think about that for a moment. What's something that maybe a question that you might have or a type of reflection, something that you would like to walk away with. Take a moment and then jot down your thoughts in your participant's guide.

Joyce: To frame the space that we're in today for our Home Visiting webinar series this year, we've been focusing in on topics that have an impact on social and emotional development. As many of you know, social-emotional development is one of the domains in the Head Start Early Learning and Outcomes Framework, or the ELOF . You can see we have it highlighted here on the slide. When we began the series this year in October, we focused in on the home environment, and then in December, we focused in on relationships. In our last webinar, we really focused in on emotional literacy.

If you missed these webinars, don't worry, you can catch it on Push Play, and you'll have information about that towards the end of our webinar today. For our time today, we're really excited; again, I'm super excited to have my cohost from the Coaching Corner webinar series. I'm excited to be here with Sarah to focus on problem-solving and the practical strategies that we're going to be talking about today. We're really going to be looking at how a home visitor can support and partner with families kind of introduce and nurture that skill within young children. That's really where we're going to be at today.

Again, we wanted to make that connection with the Pyramid Model. While we're not going to go deep into the pyramid, we do want to just make that connection today that the Pyramid Model is a framework of evidence-based practices for promoting young children's social-emotional development. The Pyramid Model builds upon a tiered public health approach by providing universal support to, universal supports for [inaudible]. Animations are going a little wonky on me today. Universal support to all children to promote wellness and then targeted services to those who need more support and then also intensive services for those that need them.

In this webinar, we're going to be focusing in on problem-solving, which is that tier two targeted kind of social-emotional support piece, which we know are essential and important to healthy social development. That's where we're going to be focusing in on today, with, we're thinking about the pyramid. If you want to know more about the pyramid, check out the National Center for Pyramid Model Innovations, or NCPMI . We have links to that within the resource, within your viewer's guide for today. Be sure and check that out as well. We are again super fortunate to have Sarah with us today. We just really want to draw on all of her experience that she's had out in the field and really sharing some of her insight on problem-solving. Sarah, I'm going to pass it over to you.

Sarah: Social competencies like self-regulation, empathy, perspective taking, and problem-solving skills are really foundational to that healthy social-emotional development, and this includes positive interactions like friendship and relationship skills between peers and siblings. Young children really need that support of adults in their lives to help them learn these skills so that they can develop healthy relationships among peers and find ways to really work through social conflicts. As home visitors, you can support this process by really supporting teaching and modeling with families how to help their children develop these skills earlier on.

It can start as young as infants and toddlers. Home visitors can support building these foundational problem-solving and relationship skills that most children can access with adult support and start to use independently as they start to, as they continue to develop these skills. Children, as they become more independent, they'll tend to run into situations in their environment that can lead to frustration or even some challenging behavior.

If parents are intentional and teach children these skills early on in their development, they can become pretty fluent in problem-solving. Then as they learn these skills, they can become more independent and successful with these skills. Their self-esteem will then, in turn, increase, and they will be likely to be able to cope with certain levels of frustration as a result and engage hopefully in less challenging behavior. When they feel confident in these social interactions and are able to problem solve successfully, then we're going to likely see less challenging behavior.

Roselia: Sarah, this is a good place to note that as you get to know your families, you may also discover that there might be some children who struggle, and they don't readily learn these skills through those foundational teaching strategies such as modeling or co-regulation. This might include children with disabilities or suspected delays. Establishing that strong relationship with the parent becomes even more important to get more familiar with and to be aware of the struggles so that you as a home visitor can then explore and use some of those more individualized practices to work on these skills when children need that extra support. We're going to talk some more about that throughout this webinar, but we just thought that would be really important to point that out.

Let's talk a bit more about why problem-solving is important in child development. We know that the earlier that children begin solving those problems, the more ready they are to deal with bigger challenges as they mature. We know that the home is a safe, it's a controlled environment, where parents can direct children as they develop and practice those problem-solving skills. By viewing problems as opportunities to grow, children begin to broaden their understanding while building that confidence that you were talking about.

We also know that when children feel overwhelmed or maybe hopeless, they often, they're not going to attempt to address a problem and that's where some of this challenging behavior for us adults may come up. When they have support, and then adults really support them with that clear formula and some steps for solving problems, they'll feel more confident in their ability to even give it a try. By introducing problem-solving skills at a young age, children learn to think in terms of manageable steps. Sarah, can you share with us how a home visitor might go about this process with families?

Sarah: There are some steps to problem-solving that home visitors can use and introduce to parents and there are some ways that you can support families to incorporate these steps as they encounter social conflict in the home or in socialization. The first is to support children in identifying the problem. This can be simply stating what the problem is out loud and it can make a big difference for children and that even includes infants and toddlers as well as preschool-age children who are feeling stuck. Parents can really think about how to do this in an age-appropriate way to support their child to state what the problem that they're encountering is, such as, your sister doesn't want to play with you, or I see you're having a hard time rolling over, or would you like a turn?

Once the problem has been identified, parents can help their child to think about what some solutions might be to solving their problems. Parents can help to brainstorm possible ways that they might solve that problem. As a home visitor, we can help parents understand that all solutions don't necessarily need to be a good idea, meaning that really just the idea of children coming up with these ideas or sharing some possible solutions. We want to support that process and allow children to share no matter how silly it may sound, and we can support them by offering suggestions to them. The goal is for parents to help their child explore options and the key is to help them do this with creativity and support them to find many different potential solutions because we know that there's not one right way to solve a problem and we want to support children to be able to think of multiple solutions.

Parents can even talk through and help their child identify what the pros and cons of each solution might be. Parents really play this critical role in helping their child identify potential positive and maybe negative consequences for each potential solution they've identified. Once the child has evaluated the possible pros and cons of each solution, the parent can encourage them to pick a solution and try it out and see what happens.

That's where even sometimes those silly solutions that they come up with, it's okay, let them try it out because if it doesn't work, you can support them to try out a different solution. And finally, the last step would be really analyzing or evaluating if it worked. Did this solution that you tried work? Was it, did it solve your problem? And if it doesn't work, you can always come up with a different solution and help them to brainstorm new ones.

Roselia: Thanks Sarah. I think that's a really great way to kind of break down that process and a great way for home visitors to support parents as they're kind of working through that. From your experience as a coach, and then just the various different learning settings that you had the opportunity to work in, why do you think problem-solving is so important?

Sarah: Problem-solving skills give children that independence that they really crave. It gives them agency in their own lives. Even though they may not be able to do this independently right away, when we give children the tools that they need to be able to do this successfully, they're able to navigate interactions with others and it helps to build social competence that they're going to carry with them for the rest of their lives. No matter what the learning environment is that you are in, social interactions are inevitable. They happen all the time. It's important that adults give children the tools that they need and support them to use those tools when they need them so that they become independent and confident in solving these problems when they arise.

Joyce: When Sarah was talking, I said I really love how you made that connection about the importance of parents supporting that, because I think it goes back to what we stated when we started. That about supporting children to become these confident, capable children really does kind of lead into being confident, capable adults who can kind of explore the world around them with all the skills that they need. I think that it just makes a case why this is so important. Because we know that solving problems really is about making choices. As young children develop their problem-solving skills, they build their confidence and we just know that you know, that having all of that, being able to solve problems, figuring things out, really makes them happier, more content, and just independent individuals. That's really what we want.We know when they tackle problems on their own or in a group, they become resilient and persistent. They learn how to look at challenges from a fresh perspective, and therefore, they're confident enough to take more calculated risks and problem-solving is so important in child development.

Again, because we know if we do it and we get it right when they're little, it really turns into this other thing when they become adults that they become confident and capable and are good with taking risk in all kinds of other different ways. Some of you may be wondering why you're here with us, wondering what skills do children need to be successful at problem solving? This is important, like I know it's important. What skills do they need in order to be able to do it well and in order for children to be successful at problem-solving and developing relationships there are a lot of prerequisite skills that are required and needed. 

We're going to talk a little bit about that, but we want to open up the Q and A for you guys to say okay, what skills do you think are important for children? What do you think that they might need in order to problem solve? We're going to ask you to pop that into the Q and A, right there, just click on the Q and A widget and put your responses there. We're going to share some of those out. While you guys are kind of thinking and popping ideas into the Q and A, we want to ask Sarah and bring her into the conversation of, Sarah, can you share with participants what some of those, what you think some of those prerequisites could be?

Sarah: For prerequisite skills, as you mentioned Joyce, problem-solving is really complex and it's going to require that a child be able to do many different things at the same time. When we think about children three and up, what they might need to be successful at problem-solving, then you really need to be able to initiate and respond to others. That could be a verbal or a nonverbal interaction or response, and it would vary, of course, based on the child's age or ability. This might look like if a child wants a toy that another child has, it could look like holding out their hand to ask or asking for a turn. A response might look like the other child saying no, I don't want to give you a turn, or pulling the item back to say, I don't want to give you the toy. Children really need to be able to initiate and respond to be successful at problem solving. 

Another thing that they need to be able to do is identify emotions in themselves and in others. The reason this is important is because have you ever tried to solve a problem when you're upset? It's really hard. You're not thinking clearly. It's just not going to work. Children need to be able to return themselves to that state of calm before they're able to come up with solutions to their problem, or even to recognize what their problem is. Another step is being able to calm themselves or having an adult support them to calm down. 

The next skill might seem obvious, but children really need to be able to identify what the problem is. That could look like a child identifying hey, I've got two apples but there are three siblings here. And what, my problem is I've got two apples, and we don't have enough. Once they've identified the problem, children really need to be able to then come up with possible solutions to solve their problem. That could be that child identifying hey, if I split this apple, we all have some. Or it might be, I don't like apples, so you can have mine. 

These skills that I just mentioned are really higher level for maybe preschool-age children, but a home visitor can also support families of infants and toddlers by setting the stage for problem solving. Making sure the environment really promotes interactions with others. Are there opportunities for that child or other children in the home to engage with one another? There usually are, even in routines that we don't think there are, you can build in possible opportunities. Pointing those out for the family, helping them think about what they might do or say and providing, helping support them to provide more opportunities throughout the day.

Another way that a family could support problem-solving in the environment is narrating or pointing out the intentions or what another child might be wanting or needing so that could sound like, “oh, I see Julia crawling towards you. It looks like she wants to play with your ball.” What this does is really builds awareness of the wants and needs and intentions of others. I think that's so important because often I know you've been around children, you know that sometimes it feels like a threat and when we can narrate what's going on, we can frame what's going on for the child so that then they approach it as in a different way. 

Of course, it's important to share that if a coach is working with a home visitor to support families to use these practices, a coach can help a home visitor identify what those prerequisite skills are that might need to be taught to the child first, the family or the child to be successful. It's important to note that a coach can be an extra set of eyes. And that, some of the things that I mentioned are coming in on the chat, I'm seeing, or in the Q and A, some people are saying kids need to be able to share, kids need to be able to ask for what they need, kids need to be able to identify the problem, and so it looks like you guys are right in line with what we were talking about. Really having friendship skills is important. Thank you so much for your responses.

Joyce: I feel like folks have a lot of ideas to share about what it takes to problem solve. And again, thank you for all your responses; keep them coming in. We just talked about, there are a lot of things needed for children to be successful at problem-solving and we still see a lot of the responses here we see coming in in the chat. We have Kate and Catrina that talk about regulating emotions. We have Tom that talked about think about possible solutions and then also as adults think about how can we help kind of set them up with possible solutions. Thank you for putting all of those things in there. As you can see, there's a list there added to the list that is coming in the Q and A. All of those things all in mind, problem-solving steps that we talked about and how a home visitor might support the development of this process.

Sarah, just to pop in with a quick question here, when you were talking and explaining the, when you were explaining kind of the why. Like why because it kind of helps to take away that threat aspect of it. As a coach we do that with our coachee or home visitor and do you think that there's some importance or connection then as a home visitor having that knowledge than to be able to have that parallel process of sharing that information with a print of like this is why it's important to narrate kind of that parallel top piece. Do you think that that could also be helpful for a home visitor?

Sarah: Yes, absolutely. I think as adult learners, and when you're working with parents, working with adult learners, it's really important for them to know the why. Why are you telling me to narrate? Pairing the narration is important because it helps children feel less threatened by the other child and you share the intentions. Then it helps make it more, gives the parents the why. Why would I do this? And then they know that the possible impact that using that practice might have. It's really a parallel process. What you would, your coach would use with you, you might also use some of those strategies with the families that you would work with.

Joyce: Yeah, thank you for sharing that. I said it was just when you said that, that light bulb went off, like wow, that's important information to kind of share on both sides, so thank you for that. 

Now we're going to just summarize some of those key ideas and practices for home visitors and how they can support some of those problem-solving skills. Again, a lot of things have been coming in through the Q and A. Number one is just to promote healthy relationships, that home visitors can support parents in how they engage with and offer opportunities for young children to work on relationship skills. Sharing and helping and cooperating and comforting and making suggestions about play, even celebrating each other, and creating developmentally appropriate opportunities for practicing those skills throughout the day. 

Home visitors can support parents in creating opportunities within the home as well as exploring options where children can practice turn-taking and sharing. Maybe through a socialization activity. Particularly when you're thinking about when there's just one child in the home, parents may have a concern about their child not having opportunities to engage with other children, so that could be a great time to just kind of pause and think about the value they place on peer relationships and how they might be able to provide some of those opportunities for their child. Thinking about some of those being intentional and some might be planning some outdoor activities, some field trips, some going to the park, visiting with their cousins or whatever that aspect. 

Just knowing that can also help with thinking about, like, 'Wow, every interaction could be a learning moment, an opportunity to kind of learn and grow these skills.' Thinking about teaching problem-solving steps that earlier we talked about - some steps that home visitors can work through with parents. When it comes to developing problem-solving skills, young children are learning to manage their emotions and behaviors through co-regulation. They're beginning to reason and understand simple consequences. Our role as a home visitor, we have that opportunity to work with parents and support the development of problem-solving.

Problem-solving development at this young age allows children to identify problems, brainstorm possible solutions, and then test those out, test out those appropriate solutions, and then analyze and think about, "Okay, so what kind of results did I get? Did I get what I wanted in the end?" Parents can support children to work through these steps and gain confidence in their ability to work through the problems that they encounter.

Another component would be teaching problem-solving in the moment. Problem-solving is hard work. It is hard work, but a 2-year-old solving problems is hard work for everyone involved sometimes. As home visitors, we have that unique opportunity of supporting this process. We want to build a parent's skill base and their confidence really to help their child use problem-solving steps in the moment. As home visitors can partner with parents to brainstorm ways they can anticipate those social conflicts before they happen. When a problem arises, the parent can anticipate or recognize problems before things can escalate and get out of hand and feel overwhelming or intervene as needed to work through those problem-solving steps that home visitors can support. 

How parents individualize strategies they use to provide support, all these skills, really based on the learning kind of style and needs of their child. We know that some children may need the amount of language used to be modified; some children may need visual cues or gestures kind of paired with verbal language; some children may need specific feedback about consequences to really help them learn about the effect of their behavior on the environment really based on the individual needs of that family and the children as well.

Roselia: Thanks for sharing all that, Joyce. That's a lot of great information, and as you were saying all these things that we're doing to support parents or children rather — I think someone mentioned this earlier — about even as adults, problem-solving is difficult for us sometimes. To imagine for children that don't have the words and they're struggling with all these different emotions and wanting to stake their independence, it can really be a tough process. 

As home visitors, we're in that unique position to really help support. Thanks for sharing all that. Throughout this webinar, we've really been discussing ways to foster problem-solving skills for all children. Today, in our focus on equity segment, we're going to use our equity lens to take a closer look and really lift up the value of equity in all learning environments as we work with diverse families in our communities.

As home visitors, it is safe to say that we are working with a diverse group of families, and we never want to make any assumptions. Let's reflect on this question: How can a home visitor be sure that they are being culturally responsive to a family's values related to relationships and problem-solving? Think about that because we know it's not a cookie-cutter approach and we know that there are cultures within cultures. It's important that we don't make any assumptions, and thinking about being culturally responsive, how can a home visitor ensure that that is happening?

We'd like for you to take some time and share some of your thoughts with us in the Q and A. While you're doing that, we do have a few suggestions that we would like for you to consider. First, we want to make sure that the skills that you're introducing are culturally relevant to the family that you're working with. It's important to really take the time and think back to the information that you've gathered as you've been developing a relationship with the family. You want to be sure that you're considering the values, beliefs, what's important to them, what's important that, the importance and the goals that they have for their children, and again, not making any assumptions and really asking these types of questions as you're moving through the process.

We also recommend that you take the time to gather input about social problems that the child may face at home or perhaps other settings that they're participating in. Then lastly, although we just mentioned this, we wanted to place an emphasis on the importance of gathering information about the family's values. As you're building those relationships, as you're observing the family, just really asking those questions, and not making assumptions from your perspective but from how the family states it. It's important to remember that problem-solving and how it is approached is not going to look the same for all families. Again, even if you have families that are from the same culture, what works for one family may not work for another. It's important for the suggestions and the strategies to be culturally responsive and respectful of a family's values. Sarah, folks are still entering their thoughts into the Q and A. Is there anything that you would like to add?

Sarah: Those suggestions you gave are great. Something that I think is important is you want to make sure that teaching problem-solving is relevant. You mentioned that, but we want to make sure that it's meeting the needs of the family, like what you're suggesting. Think about, when I think about it from a coach's perspective, this might be an opportunity to support the home visitor to come up with some ideas.

For example, if a home visitor asks the family what kind of social problems are popping up at home, or in their socialization settings with their child, it could be, “Oh, my child is taking toys, and they don't think sharing is important.” What you might do is offer different suggestions, but it might be tricky for a home visitor if they don't value sharing. What else could I offer? That could be where coming to your coach and trying to brainstorm and problem-solve or with your colleagues or your supervisor. 

If coaching isn't offered, to come up with some different ideas of what they might offer to that family, what they might suggest they teach their child instead. That could be asking for a turn or asking their sibling to give them a turn when they're finished, so there isn't just one right way to do things, and I think sometimes we forget that even as home visitors, our culture and what we value, we bring that into the environment and what we value isn't the only way. That's where getting the input and what the family values because ultimately, you're there to support them to support their child. Remembering that although your culture is relevant as well when you're there to support the family, you want to think about their values and really incorporate it that way.

Some of the responses that are coming in are pretty much in line with what we just talked about. It's looking very similar, getting input from the family, not making assumptions. I'm seeing finding out what they value, learning about their culture is something new that we didn't mention. Getting the parents' input can be really, really helpful. Thank you for those responses.

Joyce: Thank you, and Sarah, like you said, those responses just keep coming in and we encourage you just to keep sharing and keep thinking about, what we need to do to support families in a way that's culturally responsive. 

Now, we want to move into our next portion of our time together, and we want to turn our focus just a bit on looking at how home visitors can support families. We've been talking about this, and that's a great segue into this, so just want to explore that just a little bit more. We want to do that by highlighting the resource, and then you have the link to the resource in your viewer's guide for today.

One resource that was developed by the National Center on Quality Teaching and Learning is “Problem-solving in the Moment.” This is a 15-minute in-service suite developed for preschool classroom teachers to help children problem-solve as they arise or in the moment. We've included a link to those materials in the participant's guide.

The content here really talks about these five steps that support and guide children's behavior to encourage problem-solving in the moment. You'll see that the five steps are here: anticipate, be close, provide support, multiple solutions, and then celebrating the success. We're going to explore each of these steps and relate them to how home visitors can partner with parents to guide their child's behavior at home to problem-solve in the moment. Rosalia is going to help us dig into that a little bit more.

Roselia: Anticipate is the first and very important step of this process. As home visitors, we can really work with parents to try and stay one step ahead of problems by recognizing and being proactive. Home visitors can support parents in sensing some of those changes in a child's behavior, as well as their emotions, and then really starting to pay attention to some of those identifying triggers. Home visitors can also help parents be aware as well as to be ready to activate some of those problem-solving steps that we have been talking about.

Let's move on here and talk about the next step, which is to be close. We know that often parents can be very busy, and they're not always going to be physically close when a problem situation presents itself. What parents can do is to relocate themselves and be near the location when the problem is beginning to occur. That's where it becomes important to start to identify some of those triggers, some of the changes in behaviors that are starting to happen, and then start to relocate. 

We want to work with parents to recognize some signs that a problem is about to occur so that they can then move themselves closer to that situation at this stage, rather than when the problem is in full swing. We want parents to know that when they are close, it's an opportunity for them to be able to explore and to begin to provide some support for their child. As a home visitor, you can really support families in beginning to pay attention, starting to recognize, and when to offer some of that proactive or preemptive support and figuring out some of those patterns of the behavior.

Being close, time also provides for families an opportunity to model how to remain calm and then some of those gentle approaches to problem-solving so when the parents are close, they're better able to support and then talk through identifying the problem as well as some of those possible solutions that we've been talking about. They can also support their child in regulating their emotions before they get to that heightened level, and then it's going to be a lot harder for them to be able to calm down. Parents being close also provides that opportunity for them to be able to provide that comfort that might be needed before things just really become too escalated and get out of control. Joyce, tell us a little bit about what this support might look like.

Joyce: One of the things that home visitors can explore with their family when it comes to being close and providing support for their child is knowing what level of support to provide to really ensure there is a teachable moment taking place. Sometimes, that support means helping their child stay near and in proximity to where the problem happens so they can problem-solve effectively. Sometimes, that could mean prompting their child to walk through the problem-solving steps. 

It can also mean verbal prompting, like, “Do you remember what to do when baby sister doesn't want to take a turn?” or maybe the parent can involve an older sibling in it if they're available, saying, “Hey, let's ask brother what would you do?” Sometimes it's really when children don't have those verbal skills, support can mean to use like visual cues as well and to prompt, that prompts them perhaps, takes them into those problem-solving steps. It really depends; that level of support depends kind of on the specific needs of their child. Knowing it's okay to kind of try out different levels of support to figure out what's needed.

Now we want to talk about the next step, which is multiple solutions. Like we said, there's a whole bunch of different ways to be right about things, and so there can be situations in which one solution maybe a good solution but we know that it may not always work. As children become older, parents can support problem-solving skills by encouraging their child to generate multiple solutions. Maybe with younger children they're going to need parents to support to generate choices or solutions. 

This is going to allow children to begin to grow their own toolbox of solutions to draw from when they encounter problems. The solutions don't need to be complicated and can be as simple as maybe using a timer, waiting patiently, or maybe even flipping a coin. Home visitors can support parents by talking through and really helping parents to determine some solutions they can present and help their child when problem-solving, and when problems arise. Sarah, we just want to tag you in here and ask you, do you have any resources in your toolbox that may support families with identifying solutions at home?

Sarah: There's a great resource from the National Center on Pyramid Model Innovations, and it's called the “Solution Kit.” They have a home edition, and it includes some common solutions to everyday social problems and it comes in multiple languages, which is great. Visual supports can be super helpful for young children and this resource might be something that a home visitor can share with families. 

Another great resource for teaching problem-solving is this scripted story, we can be problem solvers at home. This scripted story can be used by the family to help children understand the steps for problem-solving and it includes some scenario cards that you can use with children to help them think about solutions to common social problems that they're going to face, either in the home or the community. Those are two of my favorite resources.

Roselia: I love those, Sarah. Those are actually some of my favorites as well and I really love that they're visual and that they really have been designed to help support in the home environment, because often we see that there is resources for center-based children, but I love that these are specifically designed for the home. We have included the information in your Participant's Guide Resource List, so we want to make sure that you take the time to explore those and think about ways that you can utilize those with families that you might be supporting. 

Continuing on and thinking about the five steps that we've been talking about, the last step that we want to talk about is just as important as anticipating a problem and that is celebrating success. Reinforcing a child's success in problem-solving really supports their development as effective problem solvers, and as home visitors, we want to be sure that you share this with parents. They can reinforce that celebrating success. It can be formal, or it can be informal. Some examples of that informal celebration might be things such as a high five, acknowledging that they did a really great job, you can give them a thumbs up, a wink, a verbal praise, or even just a hug. 

Just letting them know that you're really proud of how they worked through that particular problem. As home visitors, you can really brainstorm some different options and some of those informal gestures that are culturally appropriate and relevant for their family. Then you can also support them in coming up with some more formal ways to celebrate the success. The important thing here is that we want to make sure that parents are acknowledging when children are working through those problems and that they're becoming much more independent so that children feel accomplished and of course if you recognize it in that positive way, they're going to want to do it again. They're going to feel that appreciation. 

We're going to watch a video clip. In this video clip, you're going to notice that the setting is a preschool classroom and that there are two children that have encountered a problem. We want you to take note on how the teacher handles the situation to really engage the children in working through problem-solving. In your participant's guide, you have some space, and we want for you to take some notes and really pay attention to some of the strategies that the teacher is using. It is a classroom; however, think about how this scenario might play out, perhaps in a home between two siblings or even at a group socialization between two children. Let's take a look.

[Video begins]

Teacher 1: Janny, what's the problem? You're getting it to make the fort and it looks like Amy's holding it too. Thanks, Elena for moving so I could get up. So what are we going to do about it? You both want the same block? What are we going to do about it? How are we going to fix the problem? I'm going to hold the block for a minute while you guys help figure it out. What's your idea?

Child 1: [Inaudible] 

Teacher 1: You want to play with it over there. Shall we find out what Jammy's idea was? What was your idea, Janny?

Child 2: [Inaudible] 

Teacher 1:  Oh, and she thinks she needs it for that building. So, you both need this block for two different buildings. Do you want to look for an idea in the basket? Grab the book. See what you can come up with. There's another one over there, right. I think Amy's got the book. What are we going to do? She's looking, so let's play together, so that would be building the same building together. 

Take a break, so you just take a break from building. Wait until she's done. One more minute, so she would have it for a minute and then you would have it for a minute. You build with something else, maybe next time. Playing together. You would build it together. Do you want to build together, Janny? Look at Amy's talking to you. Sorry, I just said it and Amy was saying it. Sorry about that, Amy. Here. So Amy, you're going to help Janny build her tower.

Child 1: Let's do this one.

Teacher 1: Excellent. You guys are expert problem solvers.

[Video ends] 

Joyce: We see some of the strategies coming through in the Q and A, we'll ask you to keep putting those out there for us, and just want to check in with Rosalia and Sarah to say what did you guys notice anything there about some of those great problem-solving skills that we saw happening?

Sarah: My favorite part of that video is that she really supported those two children to solve their own problem. She gave them support by prompting them to find the materials to help them problem solve. She read through some of the problems with them, or solutions with them, but ultimately the teacher didn't solve the problem for them. And that was really great to see because I think sometimes as adults, we want to be the fixer and in this video the children were really the experts. They were the expert problem solvers here. I thought that was…

Roselia: I agree, Sarah. I really love that and just the anticipation from the teacher, but also having their little solution book that they can kind of, the visual to work through and see they had multiple choices to choose from. That was my favorite part.

Joyce: Yeah, definitely lots to see in that one. I like that one. I think watching the adult and also watching the kids and how they react to that. Sarah, we just want to give you some space as we're kind of wrapping up to hear a little bit more from your coaching experience and just maybe some more tips for supporting home visitors and partnering with families.

Sarah: Sure. It's really important to remember that parents are their children's' best teachers and most children already, most of what children know or what they know when you come into a relationship with that family, has been learned by their parents. As home visitors, when we partner with parents, we really want to set the stage to provide those intentional opportunities for learning within the home setting. 

These tips for child size problems that children can solve with the help of their parents or on their own. Here are some tips that you can share with families to set the stage for their child to become problem solvers. One would be to help the child to relax. When children are faced with a problem, they can become upset, frustrated, angry, they might get their feelings hurt or even cry. 

This is not the time to try to solve the problem. When the child becomes calm, we want to help them to work through their problem, but when they're at the height of these emotions, that's not the time. We want to regulate, use some calming strategies to get them to calm down. Then we can support them to problem solve. You can support families to understand that supporting children to calm down is a really important step of this process. 

We want to make sure that we're giving uninterrupted time. As home visitors you want to partner with parents to help them understand that developing problem-solving skills is complicated and it takes time. Giving them uninterrupted time that's not rushed to talk through and support them to thinking through problems. Also, we want parents to feel like they are a coach. When we're talking about being a coach, we're not talking about home visitors coaching parents but what we mean here is that children at a very young age are still developing these skills. 

We want you to work with parents on developing their ability to identify opportunities and support their children through asking questions and helping their children think and share through what maybe these problems and solutions might be. Active listening is a really important part of this process, as parents it can be hard sometimes, we want to throw out our ideas and suggestions but active listening for children is so important. 

Here are some strategies that a home visitor can share with families, and we want you to jot down some notes in your participant guide. Encourage parents to withhold from solving those problems for children, so support them to support children and not solve them for them. Support parents in developing questions that they might ask when problems arise. Help parents to identify when they are, their critical solutions to their child is proposing, so try not to judge the solution. Sometimes they may be silly; let them try it out. Provide that active listening. All those strategies, you can remember those that will support families.

Joyce: Definitely, and we've included all of these tips in a handout, and that's part of your participant's guide as well. You may think, "What's my role in supporting some of these practices?" Rosalia, if you want to give maybe one kind of tip to close us out, what do you think that one thing would be regarding the role of the home visitor?

Roselia: I think the important thing, and I think Sarah has kind of really touched on this throughout, is just really taking the time to listen to the family. Finding out what's important to them, and then just kind of being a facilitator if you will — just kind of really asking some of those haunting questions to get the parent to start thinking about some of those steps that we talked about, like anticipating that behavior, looking at problem-solving as an opportunity for learning, and just helping children to really put words to those emotions that sometimes even we as adults struggle with. 

I think really being that partner, that reflective partner with the parent, and then providing some of these strategies to help them work through that and again just really seeing it as an opportunity and not necessarily as a behavior that challenges us. Just kind of taking that time to explore with their child and just giving them the words for those emotions to kind of help them become more aware as they kind of go out into the world and face some of those social conflicts if you will. That would be my suggestion.

Joyce: I think that's a great one to leave us with today. Thank you, Sarah, so much for joining us. Thank you everyone here. If you have any questions or anything, drop them in the Q and A. Also, feel free to reach out to us, we have to keep this conversation going, and we will see you guys next time. Thank you.

How young children approach and solve problems is critical to their overall development. Problem-solving supports how young children understand the world around them. It can impact their ability to form relationships as well as the quality of those relationships. Supporting the development of problem-solving skills is not a one-size-fits-all approach. Explore strategies and resources home visitors can use to partner with parents to strengthen and nurture these skills and help children cope with challenges as they arise. 

Note: The evaluation, certificate, and engagement tools mentioned in the video were for the participants of the live webinar and are no longer available. For information about webinars that will be broadcast live soon, visit the Upcoming Events section.

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National Centers: Early Childhood Development, Teaching and Learning

Age Group: Infants and Toddlers

Audience: Home Visitors

Series: Home Visiting Series

Last Updated: April 2, 2024

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The show “3 Body Problem” premiered on March 21 and quickly became one of Netflix’s most-watched titles. It is an adventure story about a group of scientists contending with an extraterrestrial threat. But despite its science fiction trappings, the show is often based in real — and complex — scientific concepts, whether string theory or nanomaterials. In this episode, Dennis Overbye, The Times’s cosmic affairs correspondent, breaks down some of the more brain-bending science behind “3 Body Problem.”

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What Is Human-Centered Design?

• 15 Dec 2020

One of the primary reasons startups fail is a lack of market need. Or, in more straightforward terms: The founders built a product or service no one wants.

Creating a successful business requires identifying an underserved need , validating your idea , and crafting an effective value proposition . When taking these steps, one way to ensure you’re on the right path and developing products and services the market will adopt and embrace is bringing prospective customers into the process and leveraging human-centered design.

Access your free e-book today.

Human-centered design is a problem-solving technique that puts real people at the center of the development process, enabling you to create products and services that resonate and are tailored to your audience’s needs.

The goal is to keep users’ wants, pain points, and preferences front of mind during every phase of the process. In turn, you’ll build more intuitive, accessible products that are likely to turn a higher profit because your customers have already vetted the solution and feel more invested in using it.

The Phases of Human-Centered Design

In Harvard Business School Online’s Design Thinking and Innovation Course , HBS Dean Srikant Datar breaks human-centered design down into four stages :

Here’s what each step of the process means and how you can implement it to create products and services people love.

This first phase is dedicated to collecting data and observing your customers to clarify the problem and how you might solve it. Rather than develop products based on assumptions, you conduct user research and assess customer needs to determine what prospective buyers want.

The clarify phase requires empathy—the capability of understanding another person’s experiences and emotions. You need to consider your customers’ perspectives and ask questions to determine what products they’re currently using, why and how they’re using them, and the challenges they’re trying to solve.

During this phase, you want to discover customers’ pain points , which Dean Datar breaks down into two types:

• Explicit : These are pain points users can describe; they’re aware of what frustrates them about their current experience.
• Latent : These are pain points users can’t describe and might not even know exist.

“Users will be upfront about explicit pain points,” says Dean Datar in Design Thinking and Innovation . “But researchers will need to dig into the experience—observing, listening, and trying it for themselves to get at the latent pain points that lead to transformative innovation.”

To determine your customers’ pain points, observe people using your product and conduct user interviews . Ask questions such as:

• What challenge were you trying to solve when you bought this product?
• What other options did you consider when making your decision?
• What made you choose this product over the alternatives?

With each answer, you’ll start to generate insights you can use to create a problem statement from your users’ perspective. That’s what you’ll try to solve in the following phases.

The inspiration you gather in the first phase will lead you to the second: ideate. During this stage, you can apply different design thinking tools, such as systematic inventive thinking (SIT) or brainstorming, to overcome cognitive fixedness —a mindset in which you consciously or unconsciously assume there’s only one way to interpret or approach a situation.

Once you’ve overcome cognitive fixedness, the goal is to generate dozens of ideas to amplify creativity and ensure no one gets attached to a potential solution before it’s been tested.

The develop phase is when you combine and critique the ideas you’ve brainstormed to create a range of possible solutions. By combining and evaluating your ideas, you can better meet users’ needs and determine what you want to move into prototyping to reduce costs, save time, and increase your final product’s quality.

Three characteristics of human-centered design that are vital to consider when critiquing ideas are desirability, feasibility, and viability.

• Desirability : Does this innovation fulfill user needs, and is there a market for it?
• Feasibility : Is this functionally possible? Does the organization have the resources to produce this innovation? Are there any legal, economic, or technological barriers?
• Viability : Is this innovation sustainable? Can the company continue to produce or deliver this product profitably over time?

When you start prototyping, you should have presumed answers to these questions so you can learn more about your concepts quickly and, ideally, at a low cost.

“It’s important to evaluate concepts and create prototypes early and often so that you can foster an experimentation mindset and develop tested solutions that are ready for implementation,” says Dean Datar in Design Thinking and Innovation .

4. Implement

The final phase of the process is implementation. During this stage, it’s crucial to communicate your innovation’s value to internal and external stakeholders, including colleagues and consumers, to bring it to market successfully, encourage adoption, and maintain growth.

In the implementation phase, take time to reflect on your organization’s culture and assess group dynamics. Is your team empowered to develop and iterate on user-focused solutions? You can’t continue creating innovative solutions without the right culture.

It’s important to note that your work isn’t over once you reach the final phase. Customers’ wants and needs will continue to evolve. Your goal is to adapt to meet them. Keeping humans at the center of the development process will ensure you’re continuously innovating and achieving product-market fit.

Human-Centered Design in Action

A great example of human-centered design is a children’s toothbrush that’s still in use today. In the mid-nineties, Oral-B asked global design firm IDEO to develop a new kid’s toothbrush. Rather than replicating what was already on the market—a slim, shorter version of an adult-sized toothbrush—IDEO’s team went directly to the source; they watched children brush their teeth.

What they realized is that kids had a hard time holding the skinnier toothbrushes their parents used because they didn’t have the same dexterity or motor skills. Children needed toothbrushes with a big, fat, squishy grip that was easier to hold on to.

“Now every toothbrush company in the world makes these,” says IDEO Partner Tom Kelley in a speech . “But our client reports that after we made that little, tiny discovery out in the field—sitting in a bathroom watching a five-year-old boy brush his teeth—they had the best-selling kid’s toothbrush in the world for 18 months.”

Had IDEO’s team not gone out into the field—or, in this case, children’s homes—they wouldn’t have observed that small opportunity, which turned a big profit for Oral-B.

Leveraging Human-Centered Design in Your Business

By leveraging human-centered design in your business, you can avoid becoming another startup statistic and instead gain a competitive edge by creating products and services that customers love.

Are you interested in learning more about the benefits of human-centered design? Explore our seven-week Design Thinking and Innovation course , one of our entrepreneurship and innovation courses . Not sure which course is right for you? Download our free flowchart to find your fit.

This post was updated on January 6, 2023. It was originally published on December 15, 2020.

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Computer Science > Computation and Language

Title: large language models are unconscious of unreasonability in math problems.

Abstract: Large language models (LLMs) demonstrate substantial capabilities in solving math problems. However, they tend to produce hallucinations when given questions containing unreasonable errors. In this paper, we study the behavior of LLMs when faced with unreasonable math problems and further explore their potential to address these problems. First, we construct the Unreasonable Math Problem (UMP) benchmark to examine the error detection ability of LLMs. Experiments show that LLMs are able to detect unreasonable errors, but still fail in generating non-hallucinatory content. In order to improve their ability of error detection and correction, we further design a strategic prompt template called Critical Calculation and Conclusion(CCC). With CCC, LLMs can better self-evaluate and detect unreasonable errors in math questions, making them more reliable and safe in practical application scenarios.

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