Question category | Levels | Explanations |
---|---|---|
Conceptual | [0] | Unanswered, unclear, and ambiguous responses |
[1] | Responses containing alternative concepts (conceptual misconceptions) and/or non-scientific information | |
[2] | Responses containing basic level knowledge or information along with an alternative concept | |
[3] | Responses with acceptable levels of scientific knowledge without alternative concepts (conceptual misconceptions) | |
[4] | Responses with scientifically accurate knowledge | |
Relational | [0] | Responses with unanswered, unclear, and ambiguous relationships |
[1] | Responses with incorrect and non-scientific relationships | |
[2] | Responses with incorrect relationships and basic-level established relationships | |
[3] | Responses with correct and acceptable-level established relationships | |
[4] | Responses with scientifically established relationships | |
Visual | [0] | Responses with unanswered, unclear, and ambiguous drawings |
[1] | Drawings containing non-scientific visual elements | |
[2] | Responses that include non-scientific visual elements and drawings made at a basic level | |
[3] | Drawings with correct and acceptable-level constructions | |
[4] | Drawings with scientifically constructed elements |
The questions in the measurement tool for understanding levels have been organized taking into account these categories. Levels [3] and [4] indicate that the student possesses a scientific level of understanding, level [2] indicates that the student has a basic level of understanding but may also have misconceptions in their expressions, and levels [0] and [1] show that the student does not have an understanding at a scientific level.
For the analysis of mental models, student responses were independently coded by two academics, one specializing in chemistry education and the other in physics education. They conducted coding independently and reached a consensus to determine the final results. The agreement rate between the codings of the researchers was found to be 94% ( Miles and Huberman, 1994 ). In codes where there was no agreement, researchers came together to re-evaluate the student responses and discussed them until a consensus was reached. Subsequently, mental model matrices were created following the frameworks of Saglam (2004) and İyibil Durukan (2019) . These matrices were used to identify mental models held by students. The distribution of understanding levels given in Table 2 was considered during the matrix creation. Matrix templates corresponding to the answers given by the students were used to obtain three mental models: the electron cloud model, the hybrid/synthesis electron cloud model, and the primitive model, along with eight mental model categories for these models, in accordance with the descriptions by Vosniadou and Brewer (1992) , İyibil Durukan (2019) , and Franco and Colinvaux (2000) . Finally, Table 3 was created utilizing İyibil Durukan (2019) .
Mental model name | Mental model category | The characteristics of the mental model | Mental model matrix | ||
---|---|---|---|---|---|
{Conceptual | Relational | Visual} | |||
Electron cloud model (ECM) | Full scientific (FS) | The understandings of all question types (conceptual, relational, diagrammatic) are scientific in nature. | 4 | 4 | 4 |
3 | 3 | 3 | |||
4 | 4 | 0 | |||
3 | 3 | ||||
Partial scientific (PS) | Except for any one level of understanding, all other levels of understanding in the categories are scientific or closely related to science. | 4 | 0 | 4 | |
3 | 3 | ||||
0 | 4 | 4 | |||
3 | 3 | ||||
Hybrid/synthesized electron cloud model (HECM) | Conceptual (C) | The meanings associated with conceptual question types are scientific or closely related to science; the meanings associated with relational and visual question types are non-scientific in nature. | 0 | 0 | |
4 | 1 | 1 | |||
3 | 2 | 2 | |||
Relational (R) | The meanings associated with relational question types are scientific or closely related to science; the meanings associated with conceptual and visual question types are non-scientific in nature. | 0 | 0 | ||
1 | 4 | 1 | |||
2 | 3 | 2 | |||
Conceptual-relational (CR) | The meanings associated with conceptual and relational question types are scientific or closely related to science; the meanings associated with visual question types are not of a scientific nature. | 0 | |||
4 | 4 | 1 | |||
3 | 3* | 2 | |||
Conceptual-visual (CV) | The meanings associated with conceptual and visual question types are scientific or closely related to science; the meanings associated with relational question types are not of a scientific nature. | 0 | |||
3 | 1 | 3* | |||
4 | 2 | 4 | |||
Relational-visual (RV) | The meanings associated with relational and visual question types are scientific or closely related to science; the meanings associated with conceptual question types are not of a scientific nature. | 0 | |||
1 | 3* | 3 | |||
2 | 4 | 4 | |||
Primitive model (PM) | Incompatible (I) | The meanings associated with conceptual, relational, and visual question types are not of a scientific nature. | 0 | 0 | 0 |
1 | 1 | 1 | |||
2 | 2 | 2 |
For instance, to be classified in the fully scientific category in the electron cloud model, a student must provide responses to all three types of questions at levels [3] or [4]. To be classified in the partially scientific category, the student's responses must be at levels [3] and [4] for the other two categories, excluding any level of understanding. For the hybrid electron cloud model, the responses to questions in that category must be at levels [3] or [4], while the understanding levels for the other two categories should be [0], [1], or [2]. For the primitive model, understanding levels for all categories must be [0], [1], or [2]. Table 3 provides a detailed explanation of these criteria.
As another example, for a student to be placed in the hybrid/synthesis electron cloud model (HSECM) in the CR (conceptual–relational) category, the understandings for the conceptual and relational question types must be (4) or (3), while the understandings for the visual question types are at (0), (1), or (2). However, a student presumed to have this model and placed in the HSECM CR category has answered the two conceptual questions as (4), (4), the two visual questions as (1), (0), and the three relational questions as [(1), (3), (3)]. This student has answered two of the three relational questions at a (3) level of understanding and one at a (1) level, which is an undesirable situation. However, the most general model that this student is compatible with has been accepted as the HSECM in the CR category. The matrix templates in Table 3 have been used in this way to determine the mental model, and an asterisk (*) sign has been used to prevent overlap between categories and to determine the appropriate category.
Question number | Question category | Level of understanding | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
[0] | [1] | [2] | [3] | [4] | |||||||
N | % | N | % | N | % | N | % | N | % | ||
1 | Conceptual | 2 | 2.78 | 10 | 13.89 | 11 | 15.78 | 15 | 20.83 | 34 | 47.22 |
2 | Relational | 16 | 22.22 | 10 | 13.89 | 23 | 31.94 | 9 | 12.5 | 14 | 19.44 |
3 | Relational | 4 | 5.55 | 2 | 2.78 | 23 | 31.94 | 42 | 58.33 | 1 | 1.39 |
4 | Conceptual | 4 | 5.55 | 7 | 9.72 | 7 | 9.72 | 9 | 12.5 | 45 | 62.5 |
5 | Relational | 3 | 4.17 | 9 | 12.50 | 12 | 16.67 | 45 | 62.5 | 3 | 4.16 |
6 | Visual | 6 | 8.33 | 31 | 43.05 | 24 | 33.33 | 5 | 6.94 | 6 | 8.33 |
7 | Visual | 15 | 20.83 | 40 | 55.55 | 6 | 8.33 | 4 | 5.55 | 7 | 9.72 |
Question 1 | Level of understanding | Sample responses |
---|---|---|
Explain the concept of the electron cloud. | [4] | S2: “Regions where, according to modern atomic theory, the probability of finding electrons is high.” |
S15, S16, S17: “Regions where the probability of finding electrons around the nucleus is high.” | ||
[3] | S1, S8, S36: “Region where electrons are dense.” | |
S44: “Section where electrons are densely located.” | ||
[2] | S10: “Predicted electron orbits where the speeds and positions of electrons cannot be determined.” | |
S30: “The rotation of electrons in orbitals around the atomic nucleus.” | ||
[1] | S13: “Indicates the place where electrons move; electrons move independently.” | |
S40, S57: “Regions or orbits where electrons settle around the nucleus.” | ||
S41: “Where multiple electrons are found together.” | ||
[0] | S49: “Refers to substances moving around the nucleus.” | |
S67: “A system involving orbitals and the atomic nucleus.” |
In the first question within the conceptual category, when defining the electron cloud concept, students at the [4] level of understanding, as can be seen from Table 5 , referred to regions where electrons are likely to be found and to probability concepts emphasized in modern theory, and thus have been assessed at the [4] level of understanding (S2, S15, S16, S17). As seen in Table 4 , the percentage of students at this level is 47.22%. It can be said that a considerable number of students express the concept of the electron cloud at a conceptual level. Students at the [3] level of understanding made definitions without mentioning the probability concept (S1, S8, S36, S44), and the percentage of students at this level is 20.83%.
In the responses of students at the [4] level of understanding, the inclusion of the phrase “regions where the probability of finding electrons is high” in the definition of the electron cloud concept was considered important. As Zarkadis et al. (2017) pointed out, the most advanced and abstract student models are those that take into account quantum theory and approach atomic structure with probabilistic logic. Because in modern theory, concepts such as orbitals, the electron cloud, uncertainty principle, energy quantization, wave function, and probability exist. In the study, as seen from Table 5 , students with a low level of understanding have typically made definitions by conflating the electron cloud model with the Bohr model. It has been observed that students used the concept of orbit instead of orbital (S30, S40, S57).
In the fourth question within the conceptual category, students were asked to explain the meaning of the orbital concept in modern atomic theory. The results, as depicted in Table 4 , reveal that 75% of students demonstrated understanding at [3] and [4] levels. Among them, 62.5% provided responses containing scientifically substantial content, while only 12.5% delivered responses deemed acceptable in terms of scientific knowledge. Sample student responses at different levels of understanding for this question are presented in Table 6 .
Question 4 | Level of understanding | Sample responses |
---|---|---|
What is the meaning of the concept of the orbital in modern atomic theory? | [4] | S1, S10, S11, S13, S15, S17: “The region where the probability of finding the electron is highest.” |
[3] | S31, S36, S67: “The region where electrons are most densely located.” | |
[2] | S3, S9, S25: “Energy levels around the nucleus of an atom where electrons can be found.” | |
[1] | S16, S21: “It is a function that defines the position relative to the nucleus and wave properties of the atom.” | |
S60: “Specifies the energy levels.” | ||
S66: “The predicted paths followed by electrons.” | ||
[0] | S6, S49: “The distance of electrons from the atomic nucleus.” | |
S55: “The direction of rotation and the level at which it is.” |
Despite the presence of a definition in students' textbooks for orbitals as “the space region where electrons are most likely to be found and which has the highest charge density,” none of the students used the concept of charge density in their definitions. However, as seen from Table 6 , even though they did not mention charge density, these responses have been accepted at the [4] level of understanding (S1, S10, S13, S15, S17). The reason for such an assessment is that students made explanations using the concept of probability and indicated from their expressions in the previous conceptual question that they believe electrons are more densely found in regions close to the nucleus.
As seen from Table 6 , it has been observed that some students, influenced by the Bohr model (such as S3, S9, S25), have misconceptions by describing “energy levels around the nucleus where electrons can be found.” Tsaparlis and Papaphotis (2009) have mentioned that due to conceptual difficulties, learning the concept of orbitals at the high school level is challenging. Similarly, in this study, it has been found that while the phrase “regions where electrons are most likely to be found” in the definition of orbitals is more firmly established in students' minds, the phrase “the space region that has the highest charge density” is not understood by students. Taber (2005) also noted that even though students preparing for university entrance exams might embrace the concept of orbitals, some still tend to understand and use this term as the path that electrons travel around the nucleus. Nakiboglu (2003) , in his study, identified the misconception among students that “orbitals are the orbits around the nucleus where electrons revolve. “When reviewing the literature, many studies ( Taber, 2002 ; Nakiboglu, 2003 ; Dangur et al. , 2014 ; Özcan, 2015 ; Sunyono et al. , 2016 ; Zarkadis et al. , 2017 ; Allred and Bretz, 2019 ) indicate that students are generally influenced by the Bohr model, thereby using the concepts of shells and orbits interchangeably or synonymously. For instance, Tsaparlis and Papaphotis (2002) stated that high school students could not understand the probabilistic nature of atomic orbitals, were confused among various atomic and orbital representations, and were able to maintain a deterministic perspective. Similar to the conceptual misunderstandings mentioned in the literature, similar results have been seen in this study. For example, as seen in Table 6 , the student coded S60 was shown to have a misconception for the orbital concept by stating “indicates energy layers,” and student coded S66 by saying “the orbits that electrons follow.”
Researchers expected the responses to the two conceptual questions in this study to be prepared in a mutually supportive way, anticipating consistency in students' answers to these questions. It was expected that a student who defined the “electron cloud” concept as the region where the probability of finding electrons is high in the first question would also clearly express the orbital concept in the second question. The study found that only 52% of students provided consistent responses at [3] or [4] understanding levels for both questions, indicating a lower level of consistency than expected. This finding indicates that the concept of the electron cloud has not yet formed meaningfully in the minds of many students.
Question 2 | Level of understanding | Sample responses |
---|---|---|
How can you analogize the electron cloud in modern atomic theory to everyday examples, explaining it through comparisons with daily life? | [4] | S22: “The probability of all students being in their classrooms during school hours is high.” |
S23: “When you travel westward in our country, you expect to encounter more people, but it is not certain.” | ||
S44: “The probability of encountering students around the school is high, but as you move away from the school, this probability decreases.” | ||
[3] | S4, S5: “Airplane routes most frequently taken in the sky.” | |
S59: “Traffic conditions on roads in a city.” | ||
S38: “The light spread around a street lamp.” | ||
[2] | S11, S30: “Like the movement of a cloud.” | |
S17: “Cars turning at an intersection.” | ||
[1] | S49, S52: “The solar system.” | |
S71: “Particle-filled liquid inside a blender.” | ||
[0] | S39: “I couldn't find an example.” |
As can be seen from Table 4 , the percentage of students who answered at the [4] level is 19.44%, and at the [3] level is 12.5%, while it is observed that the rates of students at lower levels are high. Additionally, 22% of the responses were left unanswered or contained incomprehensible expressions.
According to Duit (1991) , analogy is defined as the cognitive representation of relationships between objects when transitioning from source information to new information. Evaluating the answers at the [4] understanding level based on this definition, it is gratifying that students (S22, S23, S38, S44) consider the probability concept, incorporate correct relationships, and include creative and qualified analogies, albeit in small numbers. As Vieira and Morais (2022) express, analogies are described as a powerful tool to explain complex scientific concepts such as abstract or unconventional ones like the quantum atomic model using familiar terms, encouraging positive attitudes towards learning. The results reveal that students face difficulty in making analogies and establishing scientific relationships with everyday life examples. The failures in students' analogy-making also suggest a close association with insufficient conceptual understanding.
In the analysis of the analogies prepared by Derman and Tufan (2021) , when evaluating our students' analogies according to the categorical framework used, it is observed that the examples of students who make correct analogies, such as student coded S22 with “The likelihood of all students being in their classrooms during class hours at school is high.” as seen in Table 7 , exhibit verbal and functional characteristics in terms of their representation.
In the relational category, question number 3 asked students to explain which shortcomings in atomic models led to the emergence of the electron cloud concept. Upon reviewing Table 4 , it was observed that, for this question in the relational category, only 1.39% of students demonstrated an understanding at [4] level, while 58.33% were at [3] level. The majority of responses contained relationships that were correctly established and considered scientifically valid. Examples of student responses at different levels of understanding for this question are provided in Table 8 .
Question 3 | Level of understanding | Sample responses |
---|---|---|
What shortcomings in atomic models led to the development of the concept of the electron cloud in modern atomic theory? | [4] | S45: “The Bohr atomic model can only explain the emission of particles with a single electron. It cannot describe multi-electron atoms, the behavior of atoms in a magnetic field, and the simultaneous knowledge of both the speed and position of an electron.” |
[3] | S3, S4, S14, S15: “The speed and position of the electron cannot be known simultaneously.” | |
S27: “Due to the absence of the concept of orbits.” | ||
[2] | S29: “The absence of definite positions for atoms.” | |
S37: “The inability to determine the location of the electron.” | ||
[1] | S57: “Electrons rotate in a three-dimensional space; the electron cloud is a two-dimensional concept.” | |
[0] | S28: “I can't remember.” |
For this question, examples of student responses for each level of understanding have been provided in Table 8 . For example, students with codes S3, S27, S14, S15 stated that the Bohr atomic model successfully explains line spectra of single atoms and ions but falls short in explaining the line spectra of multi-electron atoms. However, many students could not provide an explanation for the behavior of atoms in magnetic fields. The study shows that while students mention some factors leading to the birth of modern theory, they cannot express all of them together. Consistent with the literature findings by Nakiboglu (2003) , Taber (2005) , Stevens et al. (2010) , quantum mechanics is difficult for students to understand due to its abstract and complex nature, and concepts are often used interchangeably. Examining student responses, for instance, the response of student S27, linking the lack of the concept of orbits to the emergence of EBM, implies that the reasons for the emergence of ECM are not fully understood.
In question number 5, located in the relational category, students were asked to specify the reasons for using new quantum numbers in modern atomic theory and to identify what these quantum numbers are. Examples of student responses at different levels of understanding for this question are presented in Table 9 .
Question 5 | Level of understanding | Sample responses |
---|---|---|
In modern atomic theory, new quantum numbers have been used instead of the orbit concept in the Bohr atomic model for several reasons. What are these reasons, and what are the names of these new quantum numbers? | [4] | S28, S40: “Wave mechanics explains multi-electron atoms with quantum numbers. There are four of them. The principal quantum number is n, the angular quantum number is l, the magnetic quantum number is m, and the spin quantum number is s.” |
[3] | S2, S3: “Principal quantum number, angular quantum number, magnetic quantum number, spin quantum number.” | |
[2] | S5: “The uncertainty of the electron's position and the inability to model atoms with more than 20 electrons.” | |
[1] | S49: “Used to explain multi-atomic molecules.” | |
S55: “To determine the direction of rotation.” | ||
S52: “Principal quantum numbers: s, p, d, f.” | ||
[0] | S47: “No response” |
As seen in student responses in question number 5 under the relational category (S2, S3, S5), although a large majority of students (62.5%) correctly define quantum numbers, they did not mention that quantum numbers are used to explain multi-electron atoms in wave mechanics. From the responses, it is observed that students, having learned information at a symbolic level, can more easily write the symbols and names of the four quantum numbers correctly but fall short in explaining the rationale for their usage (S2, S3, S5). Only a few students mentioned that wave mechanics can explain multi-electron atoms using quantum numbers (S28, S40). According to Papaphotis and Tsaparlis (2008) , students do not have a comprehensive understanding of orbitals and quantum numbers. This may be due to the necessity of understanding various abstract, complex, and symbolic concepts involved in the quantum model of atomic structure, as mentioned by Zarkadis et al. (2022) . Additionally, according to Zarkadis et al. (2022) , studies on this topic (for example, Sunyono et al. 2016 ; Temel and Özcan 2018 ; Papaphotis and Tsaparlis 2008 ) support the view that students often try to understand quantum numbers with a simple, deterministic, or mechanistic approach. The results obtained in the study are consistent with these literature findings. While in the Bohr model, electrons are thought to follow circular paths at specific energy levels, in the modern theory, electrons are found in orbitals with high probability of existence, designated by the letters s, p, d, f. The exact distinction between these orbitals does not seem to be clear in the minds of students.
Question 6 | Level of understanding | Sample responses |
---|---|---|
Draw a figure representing the modern atomic model (cloud model)? | [4] | |
[3] | ||
[2] | ||
[1] | ||
[0] |
One way to uncover students' mental models is to allow them to create their own models. As Akaygun (2016) pointed out, these drawings reveal how students visualize specific events and the differences in their mental models. Thus, in question number 6 in the visual category, students were asked to draw diagrams for the electron cloud model. When examining the drawings, it was observed that 8.33% of students responded at the [4] understanding level, and 6.94% at the [3] understanding level, while the percentage of students at lower understanding levels was high. In the drawings of students at the [0] and [1] understanding levels, non-scientific visual elements are predominant (S9, S1, S21, S20).
Although we have considered the drawings by students who answered at the [4] level of understanding (S11, S42) as scientifically accepted drawings, they made two-dimensional drawings without using a three-dimensional axis system. The reason these drawings are accepted at the [4] level of understanding is because, in the conceptual question, the students used the concept of region while defining the electron cloud concept. This acceptance can be seen as a limitation of the study. In their drawings, these students represented the nucleus at the center with a dot and depicted the orbital representation as expected with a cloud-like depiction, darker in regions close to the nucleus and lighter as it moves away from the nucleus. Students who answered at the [3] level of understanding (S19, S43) have made drawings at an acceptable level. In these drawings, students represented the nucleus with a central point and depicted the orbital representation either as a cloudy representation or with dots, but they could not clearly show the relationship between the distance from the nucleus and electron density. Students who responded at the [2] understanding level (S6, S57) were influenced by the Bohr model, producing drawings that did not align with the cloud model. In these drawings, it is evident that students represented electrons with dots and tended to view electrons as particles. They drew continuous and circular orbits representing the Bohr atomic model. Student S (21) is observed to intertwine the orbits of the Bohr model with a wavy pattern, suggesting a combination of the cloud model and the Bohr model in their mind. As seen in the drawings, students tend to perceive electrons as particles moving in specific orbits.
In the study, it was observed that many students could not translate the conceptually defined electron cloud model into drawings. For example, as seen in the figures of students S21 and S9, despite drawing non-scientific shapes for the cloud model, they correctly explained the electron cloud concept in conceptual questions. This may be attributed to the fact that although concepts are expressed verbally, meaningful learning does not occur in the student's mind. Additionally, it could be considered that students may lack sufficient spatial abilities or that visual explanations with adequate clarity are not used in teaching, or three-dimensional visual materials are not employed. Another significant consideration is the necessity for students to use their imagination to create mental designs to form their understanding of the electron cloud model ( Yang et al. , 2003 ). Consistent with our study results, Cascarosa Salillas et al. (2022) stated that most students do not have sufficient spatial vision and abstraction ability to create a consistent mental atomic model with the atomic model. Furthermore, Park and Light (2009) and Dangur et al. (2014) explained that students' illustrated representations of the structure of the atom are not consistent with their corresponding verbal explanations. In contrast, Tsaparlis and Papaphotis (2009) stated that although students can draw an electron cloud defined with a specific quantum number, they cannot use concepts such as electron probability density, point cloud, or cloudy structure in their explanations of the drawings.
In the visual category, the seventh question asked students to draw a figure explaining the probability of finding an electron in the “1s” orbital as a function of the distance from the nucleus. Upon examining Table 4 , it is observed that only 15.28% of students drew the model at understanding levels [3] and [4]. The majority of students demonstrated understanding at level [1], indicating drawings that incorporate non-scientific visual elements or are at a basic level. Additionally, 20.83% of students did not draw anything for this question. Examples of student responses at different understanding levels for this question are provided in Table 11 .
Question 7 | Level of understanding | Sample responses |
---|---|---|
Graphically illustrate the probability of an electron in the 1s orbital as a function of distance from the nucleus | [4] | |
[3] | ||
[2] | ||
[1] | ||
[0] |
Student drawings were evaluated based on their ability to use spatial representation correctly by referencing the x , y , and z axes of the Cartesian coordinate system. For this question, 9.72% of students responding at the [4] level drew diagrams showing that the probability of finding the electron decreases as it moves away from the nucleus (S18, S51). Students at the [3] level, accounting for 5.55%, drew the x , y coordinate system but, as in the case of S19, illustrated a shape showing that the electron density decreases as it moves away from the nucleus without aligning the drawing to the coordinate system. A high percentage of students at other levels, including S1, S55, S3 and S57, were determined to lack the ability to create scientifically valid drawings by not using spatial qualities. In the conceptual category, students described the electron cloud concept by defining it as the place where electrons are densely located, stating that this density decreases as they move away from the nucleus. However, it is apparent from the figures that they were not successful in transferring this information onto a graph. Considering Rau's (2015) suggestion that students' learning success depends on their ability to establish connections between graphical representations, it can be seen that students could not meaningfully learn or internalize the concept.
In conclusion, each student was evaluated using the matrix patterns determined in Table 3 , and the types of mental models attributed to students were identified. The quantitative data resulting from the assessment are provided in Table 12 .
Mental model name | Mental model category | f | % |
---|---|---|---|
Electron cloud model (ECM) | Full scientific model (FSM) | 4 | 5.56 |
Partial scientific model (PSM) | 12 | 16.67 | |
Hybrid/synthesized electron cloud model (HECM) | Conceptual model (CM) | 24 | 33.33 |
Relational model (RM) | 5 | 6.95 | |
Conceptual relational model (CRM) | 16 | 22.22 | |
Conceptual visual model (CVM) | 6 | 8.33 | |
Relational visual model (RVM) | 3 | 4.16 | |
Primitive model (PM) | Incompatible model (IM) | 2 | 2.78 |
Upon examining Table 12 , it is evident that 8 mental model categories have emerged under the umbrella of the three identified mental models. Of the students, 5.56% provided sufficiently scientific answers to questions related to the electron cloud model, placing them in the fully scientific model category. Additionally, 2.78% were categorized into the incompatible model category associated with the primitive model due to non-scientific responses. The category in which students are most prominently represented is the conceptual model category under the hybrid/synthesized electron cloud model, constituting 33.33% of the responses. Due to the research sample consisting of Science High School students, the 5.56% rate obtained in the fully scientific model category is below the expected level. It has been determined that the majority of the students (84.7%) in the partially scientific model category are placed in this category because they failed in the research questions of the visual category. As Zarkadis et al. (2022) noted, despite visual representations being present in textbooks, students are known to struggle with drawing shapes. In this study, some students ( e.g. , S21 and S9) were able to define the electron cloud concept in the conceptual category with scientific terms. However, they struggled to accurately depict this knowledge in a drawing, resulting in a lower-than-expected number of students in the full scientific category. As visual representations are crucial in teaching concepts in chemistry, students learn through the visual language of shapes ( Schönborn and Anderson, 2006 ; Airey and Linder, 2009 ). Therefore, the obtained result reflects a significant deficiency. The low success rate in the shape-related category is crucial, as noted by Chi (2009) , as it indicates that students hold conflicting ideas and highlights the presence of conceptual misconceptions that need to be addressed. For instance, students like S6, S57, and S24 still demonstrate dominance of the Bohr atomic model in their drawings of the electron cloud model.
According to the study results, the majority of students (75.49%) fall within the hybrid/synthesized ECM. Among these models, the largest percentage (33.33%) is conceptual models. Students with this mental model exhibit understanding at [3] and [4] levels only in conceptual questions, while their understanding at other levels is non-scientific and contains conceptual misconceptions. While only a small number of students (6.95%) possess the relational model, 22.22% have the conceptual–relational model. The findings for each category are discussed separately below.
In the mental models emerging from Table 12 , despite Modern Atomic Theory emphasizing the expression of energy shells at certain energy levels instead of the orbits at specific energy levels in the Bohr atomic model, and stating that these shells are divided into subshells which contain orbitals occupied by electrons, the prevalence of a hybrid structure among students is still observed. This is because, in the Bohr atomic model, electrons are particles that orbit the nucleus at a certain distance in circular orbits. This theory is easily explained to students through animations and is clearly embraced by them. However, in quantum theory, the concept of charge density is the probability of electrons being within a certain volume and unfortunately, even if this situation is transformed into a visual dimension, the existence and properties of a cloud-like structure conflict with the particle concept in the student's mind. Thus, using concepts such as probability, charge density, and orbitals becomes challenging, and the use of a hybrid model is thought to be predominant. These findings align with the notion of a hybrid structure mentioned by Tsaparlis and Papaphotis (2009) , and similar results are found in studies by Harrison and Treagust (2000) , Taber (2002, 2005) , Trindade and Fiolhais (2003) , Park and Light (2009) , Stevens et al. (2010) , and others in the literature. Similar results are also reported in other studies in the literature. For example, Allred and Bretz (2019) found that, despite being taught the quantum model of the atom, many first-year university students still preferred to think in terms of the Bohr model and struggled to understand the meaning of the electron cloud concept. Papageorgiou et al. (2016) indicated that students faced difficulty in adopting modern atomic theory due to the probability concept and had conceptual misconceptions. Additionally, Budde et al. (2002) mentioned that students tend to maintain their existing biases when teaching the probability model, even returning to these biases after education, with no long-term solution.
The results of this study indicate that there are still problems with the comprehensibility of modern theory. One such issue is the persistent nature of misconceptions and the difficulty in eliminating them. Another is the inclusion of a series of abstract concepts in modern theory, such as the concept of probability, the uncertainty principle, and charge density. Besides, it is considered that the probabilistic nature of these concepts creates a significant gap in the student's mind, hindering the full conceptualization of the concept. Moreover, it is observed that the persuasive nature of pioneering models related to atomic models has a lasting effect in terms of persistence. Therefore, we believe that it is particularly important for teachers to emphasize in their lectures that the modern atomic theory represents the current model and that adopting this model will be effective in reducing students' conceptual misconceptions about the atom.
The participation of science high school students in the study, the more detailed program of the science high school in comparison to other high school programs regarding the unit on modern atomic theory, the greater number of class hours allocated to the unit, and the teacher being an experienced chemistry teacher might have led us to achieve better results in the conceptual category. Yet, a higher level of achievement was expected for science high school students. As Papageorgiou et al. (2016) have indicated, several factors such as the chemistry curriculum, class, or individual differences are known to influence students' adoption of one model over another. The electron cloud concept in modern theory is a crucial cornerstone for understanding the structure of the atom. Furthermore, the role of concepts as a springboard in the learning process, allowing students to make connections with their previous learning and to structure concepts healthily in their minds, will also affect the future teaching process. Therefore, unveiling how the electron cloud concept is structured in students' minds, and the constructions and thoughts forming the concept is deemed significant. One reason for the low number of students falling into the fully scientific and partially scientific model categories in the study could be the submicroscopic nature of the electron cloud concept. Previous research has shown that even university students might not have developed the mental models necessary to effectively think about the submicroscopic world ( Chittleborough et al. , 2002 ). This is because, as Gabel (1993) pointed out, concepts are taught in chemistry lessons with little emphasis on microscopic and macroscopic levels. However, as observed from classroom observations on the teaching of the modern atomic theory, the teacher has made an effort to relate concepts with everyday life examples and use analogies instead of presenting them in a symbolic dimension. Indeed, the effectiveness of the analogies made by the teacher in explaining quantum numbers in understanding by students has been observed. Similarly, we believe that developing and applying creative and effective analogies for other concepts will be beneficial. Allowing students to make analogies with the teacher's support in class will, in a sense, lay the groundwork for revealing the structures in their minds. The teacher's feedback and reinforcement to the analogies will enrich the association of concepts, aiding in mental structuring. In addition to known outcomes related to modern atomic theory, it becomes apparent that some educational adjustments related to this theory need to be made in science programs. It may be considered necessary to updated curricula and textbooks to address issues related to the teaching of atomic models, by making new adjustments in the content of programs and textbooks. For example, enabling students to access 3D visuals during lesson explanations through quick response (QR) codes placed in textbooks will be effective in understanding related concepts and making more scientific drawings. Moreover, providing concrete examples with computer support for understanding and relating the concept of probability and the uncertainty principle could also be beneficial.
However, due to the university entrance exam system in Turkey and the anxieties related to this exam, the use of analogies, models, visuals, and computer-assisted education in teaching is limited. As a result, there is a tendency to reinforce topics primarily through multiple choice-type questions, which is thought to have an impact on the findings. Considering the results obtained, it can be suggested to curriculum developers that chemistry lessons in K-12 programs should be delivered using an integrated model of knowledge and skills.
Finally, it is recommended that researchers conduct studies examining the contribution of teaching processes using 3D materials to the teaching of modern atomic theory, specifically looking at their impact on the development of students' mental models.
Conflicts of interest, acknowledgements.
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Developing a conceptual framework in research. A conceptual framework is a representation of the relationship you expect to see between your variables, or the characteristics or properties that you want to study. Conceptual frameworks can be written or visual and are generally developed based on a literature review of existing studies about ...
Conceptual Framework Methodology is a research method that is commonly used in academic and scientific research to develop a theoretical framework for a study. It is a systematic approach that helps researchers to organize their thoughts and ideas, identify the variables that are relevant to their study, and establish the relationships between ...
For instance, conceptual frameworks can address how the current study will fill gaps in the research, resolve contradictions in existing literature, or suggest a new area of study. While a literature review describes what is known and not known about the phenomenon, the conceptual framework leverages these gaps in describing the current study ...
A conceptual framework in research is used to understand a research problem and guide the development and analysis of the research. It serves as a roadmap to conceptualize and structure the work by providing an outline that connects different ideas, concepts, and theories within the field of study. A conceptual framework pictorially or verbally ...
A conceptual framework is defined as a network or a "plane" of linked concepts. Conceptual framework analysis offers a procedure of theorization for building conceptual frameworks based on grounded theory method. The advantages of conceptual framework analysis are its flexibility, its capacity for modification, and its emphasis on ...
the conceptual framework, as well as the process of developing one, since a conceptual framework is a generative source of thinking, planning, conscious action, and reflection throughout the research process. A conceptual framework makes the case for why a study is significant and relevant
conceptual and theoretical frameworks. As conceptual defines the key co ncepts, variables, and. relationships in a research study as a roadmap that outlines the researcher's understanding of how ...
A conceptual framework helps researchers create a clear research goal. Research projects often become vague and lose their focus, which makes them less useful. However, a well-designed conceptual framework helps researchers maintain focus. It reinforces the project's scope, ensuring it stays on track and produces meaningful results.
A conceptual framework is an underrated methodological approach that should be paid attention to before embarking on a research journey in any field, be it science, finance, history, psychology, etc. A conceptual framework sets forth the standards to define a research question and find appropriate, meaningful answers for the same.
Here, we explore several real-world case studies that demonstrate the pivotal role of conceptual frameworks in achieving robust research conclusions. Healthcare Research: In a study examining the impact of lifestyle choices on chronic diseases, researchers used a conceptual framework to link dietary habits, exercise, and genetic predispositions.
The theoretical framework is used to lay down a foundation of theory on which your study will be built, whereas the conceptual framework visualises what you anticipate the relationships between concepts, constructs and variables may be, based on your understanding of the existing literature and the specific context and focus of your research.
The purpose of a conceptual framework. A conceptual framework serves multiple functions in a research project. It helps in clarifying the research problem and purpose, assists in refining the research questions, and guides the data collection and analysis process. It's the tool that ties all aspects of the study together, offering a coherent ...
A valuable guide to developing a conceptual framework and using this throughout the research process, with detailed analyses of four actual studies, is Ravitch and Riggan, Reason & Rigor: How Conceptual Frameworks Guide Research (2011). (Full disclosure: Sharon Ravitch is a former student of mine, and I wrote the foreword for the book.)
The explicit definition of what a conceptual framework is and its application can therefore vary. Conceptual frameworks are beneficial as organizing devices in empirical research. One set of scholars has applied the notion of a conceptual framework to deductive, empirical research at the micro- or individual study level.
Steps to Developing the Perfect Conceptual Framework. Pick a question. Conduct a literature review. Identify your variables. Create your conceptual framework. 1. Pick a Question. You should already have some idea of the broad area of your research project. Try to narrow down your research field to a manageable topic in terms of time and resources.
Developing a conceptual framework in research. A conceptual framework is a representation of the relationship you expect to see between your variables, or the characteristics or properties that you want to study. Conceptual frameworks can be written or visual and are generally developed based on a literature review of existing studies about ...
Explains or predicts the way key concepts/variables will come together to inform the problem/phenomenon. Gives the study direction/parameters. Helps the researcher organize ideas and clarify concepts. Introduces your research and how it will advance your field of practice. A conceptual framework should include concepts applicable to the field ...
Conceptual Framework in Research. Conceptual models and theories serve as the foundation on which a study can be developed or as a map to aid in the design of the study (Fawcett, 1989). ... The definitions of the concepts in the model have to be understood to enable the researcher to formulate her/his study framework which can be integrated ...
Theoretical and conceptual frameworks are foundational components of any research study. They each play a crucial role in guiding and structuring the research, from the formation of research questions to the interpretation of results.. While both the theoretical and conceptual framework provides a structure for a study, they serve different functions and can impact the research in distinct ...
A theoretical framework is a single formal theory. When a study is designed around a theoretical framework, the theory is the primary means in which the research problem is understood and investigated. Although theoretical frameworks tend to be used in quantitative studies, you will also see this approach in qualitative research. Conceptual ...
Figure 1 shows the Conceptual Framework of the study. The quantity of the organic fertilizer used is the independent variable, while the plant's growth is the research's dependent variable. These two variables are directly related based on the research's empirical evidence. Conceptual Framework in Quantitative Research
The theoretical framework is the structure that can hold or support a theory of a research study. The theoretical framework encompasses not just the theory, but the narrative explanation about how the researcher engages in using the theory and its underlying assumptions to investigate the research problem. ... Reason and Rigor: How Conceptual ...
For this rea son, the conceptual framework of every study, the system of concepts, assumptions, expectations, beliefs, and theories that supports and informs the research is a ke y p art of the
Emotions in foreign/second language learning. Research on emotions in the field of SLA started with a focus on the negative emotion of FL anxiety (FLA, Dewaele and Li Citation 2020).However, by the introduction of positive psychology to SLA (MacIntyre and Mercer Citation 2014), positive emotions attracted the attention of SLA researchers.Furthermore, according to broaden-and-build theory of ...
A total of 483 study respondents were recruited into the study. The socio-economic and demographic characteristics of the study respondents are shown in Table 1. The mean age of the study respondents was 43.0 ± 16.3 years, range 18-92 years. Over half (52.8%) of the respondents were 40 years or older.
The researcher has assessed the literature in the form of books, journals, related research, and various theories about organizational survival in order to understand the factors involved in the survival of the organization and to develop a conceptual framework for this research. The proposed framework is shown as follows in Fig. 2.
Following the categories specified in İyibil Durukan's, (2019) study, the research questions were organized into three categories: "conceptual, relational, and ... Wang C. Y. and Barrow L. H., (2013), Exploring conceptual frameworks of models of atomic structures and periodic variations, chemical bonding, and molecular shape and ...
Request PDF | On Jun 1, 2024, B Mutunhu and others published Towards a quantified-self technology conceptual framework for monitoring diabetes | Find, read and cite all the research you need on ...