Mathematical reasoning has been a critical concern in Turkey especially since the structure of the student selection examination for high schools changed six years ago. The ability to solve the questions in the new exam requires high level reasoning and argumentation skills. Schools, whether they are public or private, prepare 8th graders for this exam with intense educational programs. They frequently use skill-based questions–similar questions to the ones in the new exam, which require high level mathematical reasoning. This study indicates that students gain better mathematical reasoning skills in learning environments promoting collective discussion and argumentation. Hence, these questions need to be solved in these kinds of environments. In this study, two cases are analyzed to understand the argumentation process in classrooms in depth. Audiotapes of two 8th grade classrooms, one from a public school, another from a private school, are analyzed. The same teaching material–a worksheet including skill-based questions–is used in the classrooms. During analyzing, qualified argumentation pattern–a pattern including students’ claims and justifications/evaluations for those claims- is defined. Analysis of classroom audiotapes revealed that that there are significant differences between two classrooms’ argumentation structure and type of dialogues emerged in the classroom. In one classroom there is a more qualified argumentation process than in the other classroom. In addition, analysis of the type of the dialogues indicates that two classrooms have different types of dialogues. Overall, the study reveals that despite the differences, both classrooms mostly included teacher-individual interactions and they have little collective discussion.
{"title":"The development of mathematical argumentation: A case study on two mathematics classrooms","authors":"Alev Gunes Uzun","doi":"10.29333/iejme/14581","DOIUrl":"https://doi.org/10.29333/iejme/14581","url":null,"abstract":"Mathematical reasoning has been a critical concern in Turkey especially since the structure of the student selection examination for high schools changed six years ago. The ability to solve the questions in the new exam requires high level reasoning and argumentation skills. Schools, whether they are public or private, prepare 8th graders for this exam with intense educational programs. They frequently use skill-based questions–similar questions to the ones in the new exam, which require high level mathematical reasoning. This study indicates that students gain better mathematical reasoning skills in learning environments promoting collective discussion and argumentation. Hence, these questions need to be solved in these kinds of environments. In this study, two cases are analyzed to understand the argumentation process in classrooms in depth. Audiotapes of two 8th grade classrooms, one from a public school, another from a private school, are analyzed. The same teaching material–a worksheet including skill-based questions–is used in the classrooms. During analyzing, qualified argumentation pattern–a pattern including students’ claims and justifications/evaluations for those claims- is defined. Analysis of classroom audiotapes revealed that that there are significant differences between two classrooms’ argumentation structure and type of dialogues emerged in the classroom. In one classroom there is a more qualified argumentation process than in the other classroom. In addition, analysis of the type of the dialogues indicates that two classrooms have different types of dialogues. Overall, the study reveals that despite the differences, both classrooms mostly included teacher-individual interactions and they have little collective discussion.","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141006405","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The contents of calculus, known for their complexity, present significant challenges for students, particularly in mastering multiple integrals and effectively visualizing related concepts. The transition to distance learning prompted by the COVID-19 pandemic has further complicated the learning process in multiple integrals. In line with this and considering the potential of computer-supported collaborative learning (CSCL), in this research we explore the impact of teaching in a CSCL environment on student achievements, focusing on students from the computer science study program. Through data analysis using ANOVA and Bonferroni post-hoc tests, it was found that students exposed to collaborative learning in GeoGebra environment demonstrated higher levels of theoretical and practical knowledge compared to peers who acquired knowledge without using GeoGebra. Additionally, this group of students achieved results comparable to those of students who attended traditional in-person teaching, showing noticeable improvements in solving complex tasks. Our findings show the effectiveness of CSCL approach in context of distance learning and highlight potential of collaborative environments enhanced with technology in facilitating student understanding and achievements in calculus education.
{"title":"Advancing students’ achievements in multivariable calculus education through CSCL","authors":"Aleksandar Milenković, Nemanja Vučićević","doi":"10.29333/iejme/14472","DOIUrl":"https://doi.org/10.29333/iejme/14472","url":null,"abstract":"The contents of calculus, known for their complexity, present significant challenges for students, particularly in mastering multiple integrals and effectively visualizing related concepts. The transition to distance learning prompted by the COVID-19 pandemic has further complicated the learning process in multiple integrals. In line with this and considering the potential of computer-supported collaborative learning (CSCL), in this research we explore the impact of teaching in a CSCL environment on student achievements, focusing on students from the computer science study program. Through data analysis using ANOVA and Bonferroni post-hoc tests, it was found that students exposed to collaborative learning in GeoGebra environment demonstrated higher levels of theoretical and practical knowledge compared to peers who acquired knowledge without using GeoGebra. Additionally, this group of students achieved results comparable to those of students who attended traditional in-person teaching, showing noticeable improvements in solving complex tasks. Our findings show the effectiveness of CSCL approach in context of distance learning and highlight potential of collaborative environments enhanced with technology in facilitating student understanding and achievements in calculus education.","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140694063","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Although student covariation reasoning has been explored in depth to improve understanding of the correspondence between variables, research has focused on studying existing reasoning about variables in Cartesian representations. The working method had a qualitative approach, with a descriptive exploratory scope, the spontaneous representations that the participants evidenced under the level of covariational reasoning of the variables present in three contextualized situations were explored, posed to a population of third-grade middle school students. The students argued with concrete and abstract drawings the general behavior of the variables. At low levels of reasoning they used pictorial representations, at higher levels they used graphical diagrams and tables. The exploratory study shows a relationship between the type of spontaneous representations and the student’s level of covariational reasoning, as well as the rigor of the description of the problem.
{"title":"An exploratory study of spontaneous representations of covariational reasoning in middle school students","authors":"Ulises García-Teutli, José Antonio Juárez-López","doi":"10.29333/iejme/14386","DOIUrl":"https://doi.org/10.29333/iejme/14386","url":null,"abstract":"Although student covariation reasoning has been explored in depth to improve understanding of the correspondence between variables, research has focused on studying existing reasoning about variables in Cartesian representations. The working method had a qualitative approach, with a descriptive exploratory scope, the spontaneous representations that the participants evidenced under the level of covariational reasoning of the variables present in three contextualized situations were explored, posed to a population of third-grade middle school students. The students argued with concrete and abstract drawings the general behavior of the variables. At low levels of reasoning they used pictorial representations, at higher levels they used graphical diagrams and tables. The exploratory study shows a relationship between the type of spontaneous representations and the student’s level of covariational reasoning, as well as the rigor of the description of the problem.","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140357845","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Francisco Régis Vieira Alves, P. Catarino, R. Vieira, Elen Viviani Pereira Spreafico
The tradition of studies involving the combinatorial approach to recurring numerical sequences has accumulated a few decades of tradition, and several problems continue to attract the interest of mathematicians in several countries. This work specifically discusses the Fibonacci, Pell, and Jacobsthal sequences, focusing on Mersenne sequences. The often-used definition of board involves considering how to fill a specific regular surface -the board- with a limited quantity of regularly shaped tiles. On the other hand, an analogous problem can be generalized and exemplifies current research developments. Finally, the examples covered constitute unexpected ways of exploring visualization and other skills in mathematics teachers’ learning, consequently inspiring them for their teaching context.
{"title":"Combinatorial approach on the recurrence sequences: An evolutionary historical discussion about numerical sequences and the notion of the board","authors":"Francisco Régis Vieira Alves, P. Catarino, R. Vieira, Elen Viviani Pereira Spreafico","doi":"10.29333/iejme/14387","DOIUrl":"https://doi.org/10.29333/iejme/14387","url":null,"abstract":"The tradition of studies involving the combinatorial approach to recurring numerical sequences has accumulated a few decades of tradition, and several problems continue to attract the interest of mathematicians in several countries. This work specifically discusses the Fibonacci, Pell, and Jacobsthal sequences, focusing on Mersenne sequences. The often-used definition of board involves considering how to fill a specific regular surface -the board- with a limited quantity of regularly shaped tiles. On the other hand, an analogous problem can be generalized and exemplifies current research developments. Finally, the examples covered constitute unexpected ways of exploring visualization and other skills in mathematics teachers’ learning, consequently inspiring them for their teaching context.","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140356758","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper argues that engaging students in informal statistical reasoning from early school years is essential for the development of statistical understanding. We investigated if and how children aged six-seven years old identified variation in a table of data and made predictions through the design of a teaching experiment. The classroom teaching experiment was comprised of four 45 minutes lessons addressing the understanding and interpretation of data sets. In order to describe students’ informal predictive reasoning, we used the framework of “data lenses”. More specifically, we analyzed the different types of answers the students produced as they engaged in predictive reasoning during an interview given before and after the teaching experiment. The participation of students in (classroom) and out-of-school (family) communities of practice was also taken into consideration. Our results demonstrate that the students benefited from their learning experience and developed data understanding.
{"title":"Investigating statistical predictions with first graders in Greece","authors":"Anastasia Michalopoulou, S. Kafoussi","doi":"10.29333/iejme/14247","DOIUrl":"https://doi.org/10.29333/iejme/14247","url":null,"abstract":"This paper argues that engaging students in informal statistical reasoning from early school years is essential for the development of statistical understanding. We investigated if and how children aged six-seven years old identified variation in a table of data and made predictions through the design of a teaching experiment. The classroom teaching experiment was comprised of four 45 minutes lessons addressing the understanding and interpretation of data sets. In order to describe students’ informal predictive reasoning, we used the framework of “data lenses”. More specifically, we analyzed the different types of answers the students produced as they engaged in predictive reasoning during an interview given before and after the teaching experiment. The participation of students in (classroom) and out-of-school (family) communities of practice was also taken into consideration. Our results demonstrate that the students benefited from their learning experience and developed data understanding.","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140355747","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Hector Morales Jr, Kathryn B. Chval, Joseph DiNapoli, Tara G. Pizzi
This article discusses multimodal practices in the context of teaching and learning and how this idea might inform and facilitate mathematical learning, especially for Latinx students. We discuss qualitative data drawn from a study of an elementary bilingual classroom (age 10 and age 11) in a Midwestern city (USA) that is exceptional because the students successfully do high-level mathematics. We describe one class episode and one student’s use of multiple resources to create meaning. Through this we highlight the nature and relevance of multimodal practices for learning mathematics. This case highlights the necessity of creating environments, where students, especially those who have been historically excluded, use resources to make meaning and gain greater access to mathematics.
{"title":"Meaning-making systems: A multimodal analysis of a Latinx student’s mathematical learning","authors":"Hector Morales Jr, Kathryn B. Chval, Joseph DiNapoli, Tara G. Pizzi","doi":"10.29333/iejme/14363","DOIUrl":"https://doi.org/10.29333/iejme/14363","url":null,"abstract":"This article discusses multimodal practices in the context of teaching and learning and how this idea might inform and facilitate mathematical learning, especially for Latinx students. We discuss qualitative data drawn from a study of an elementary bilingual classroom (age 10 and age 11) in a Midwestern city (USA) that is exceptional because the students successfully do high-level mathematics. We describe one class episode and one student’s use of multiple resources to create meaning. Through this we highlight the nature and relevance of multimodal practices for learning mathematics. This case highlights the necessity of creating environments, where students, especially those who have been historically excluded, use resources to make meaning and gain greater access to mathematics.","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140353987","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The article analyzes professional collaboration in a lesson study involving university mathematics professors, with the objective of contributing to professional development. The research was guided by the question, What principles promoted professional collaboration among university mathematics professors participating in a lesson study? The research focused on a lesson study involving university professors of mathematics and mathematics education over twelve weekly meetings of two hours each. The empirical material included the researchers’ field notes and the transcripts of the recordings of the lesson study sessions. A qualitative analysis, based on content analysis, revealed that collaboration involved: professional sharing and decision-making. The research shows that by fostering collaboration the lesson study mobilized different principles of teaching professionalism, such as knowledge that is basic to teaching, values and ways of conducting university teaching, a social and moral commitment to teaching, and teaching autonomy, contributing to the professional development of higher education professors.
{"title":"Professional collaboration in a lesson study with university mathematics professors","authors":"Adriana Richit, Neila Tonin Agranionih, Tania Teresinha Bruns Zimer, Ranúzy Borges Neves","doi":"10.29333/iejme/14290","DOIUrl":"https://doi.org/10.29333/iejme/14290","url":null,"abstract":"The article analyzes professional collaboration in a lesson study involving university mathematics professors, with the objective of contributing to professional development. The research was guided by the question, What principles promoted professional collaboration among university mathematics professors participating in a lesson study? The research focused on a lesson study involving university professors of mathematics and mathematics education over twelve weekly meetings of two hours each. The empirical material included the researchers’ field notes and the transcripts of the recordings of the lesson study sessions. A qualitative analysis, based on content analysis, revealed that collaboration involved: professional sharing and decision-making. The research shows that by fostering collaboration the lesson study mobilized different principles of teaching professionalism, such as knowledge that is basic to teaching, values and ways of conducting university teaching, a social and moral commitment to teaching, and teaching autonomy, contributing to the professional development of higher education professors.","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140356761","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Belma Alihodžić, Tatjana Atanasova-Pachemska, Sanela Nesimović
Teaching is a process for which its plan should contain reflection onto previous experience. With that in mind, teaching situations should be continuously researched and improved in accordance with the research results. Led by this thought and the fact that students are uncritically using visualization to solve mathematical problems, we defined the aim of this research–determine the attitude of students about the visualization of mathematical content (VMC). The subject of this research are the attitudes of students towards VMC. By analyzing our research subject, we have discovered the research problem–students use visual aid to solve problems uncritically. Based on this problem, we have set the aim of our research. Our aim was to determine the students’ attitudes (and their opinions) about VMC. Based on the aim of our research, we have set four research tasks. Based on these research tasks, we have established the main (leading) research question–What is the attitude of high school students towards the application of VMC? We divided the main research question into five questions: Do high school students consider that they understand the term ‘VMC’? Who considers they use more methods of solving mathematical problems using visual aid–high school male students or female students? Students of which grades consider that they use solving problems using visual aid more? What is the attitude of high school students about the relationship between the substantiality of the picture (the amount of data it encompasses) and the difficulty of solving the problem? What is the attitude of students about the use of software to solve mathematical problems? The research has been conducted with 1,240 high school students from Sarajevo, Bosnia & Herzegovina. For the purposes of this article, we employed a survey, questionnaire-based research. The research was created as part of a larger study conducted in the context of preparing a doctoral dissertation related to VMC. It is one fundamental research. An essential aspect of this research involves students’ attitudes toward VMC. After obtaining all necessary approvals from relevant institutions and parents, students proceeded to testing and surveying in their school classrooms, under the supervision of designated individuals who facilitated the conduct of the research. The distribution of the data was not normal, so we used the Pearson Chi-square, likelihood ratio Chi-square, and linear-by-linear association test to examine the association between student attitudes and categorical variables (gender and grade). In addition, we used frequencies and percentages. It has been concluded that the students are mostly positive towards applying visualization in their process of solving mathematical problems and these should be used in the direction of improving the students’ success, their confidence and their level of contentment in their mathematics class, as well as in other life situations that encompass mathematical content
{"title":"Attitudes of high school students towards visualization of mathematical content","authors":"Belma Alihodžić, Tatjana Atanasova-Pachemska, Sanela Nesimović","doi":"10.29333/iejme/14246","DOIUrl":"https://doi.org/10.29333/iejme/14246","url":null,"abstract":"Teaching is a process for which its plan should contain reflection onto previous experience. With that in mind, teaching situations should be continuously researched and improved in accordance with the research results. Led by this thought and the fact that students are uncritically using visualization to solve mathematical problems, we defined the aim of this research–determine the attitude of students about the visualization of mathematical content (VMC). The subject of this research are the attitudes of students towards VMC. By analyzing our research subject, we have discovered the research problem–students use visual aid to solve problems uncritically. Based on this problem, we have set the aim of our research. Our aim was to determine the students’ attitudes (and their opinions) about VMC. Based on the aim of our research, we have set four research tasks. Based on these research tasks, we have established the main (leading) research question–What is the attitude of high school students towards the application of VMC? We divided the main research question into five questions: Do high school students consider that they understand the term ‘VMC’? Who considers they use more methods of solving mathematical problems using visual aid–high school male students or female students? Students of which grades consider that they use solving problems using visual aid more? What is the attitude of high school students about the relationship between the substantiality of the picture (the amount of data it encompasses) and the difficulty of solving the problem? What is the attitude of students about the use of software to solve mathematical problems? The research has been conducted with 1,240 high school students from Sarajevo, Bosnia & Herzegovina. For the purposes of this article, we employed a survey, questionnaire-based research. The research was created as part of a larger study conducted in the context of preparing a doctoral dissertation related to VMC. It is one fundamental research. An essential aspect of this research involves students’ attitudes toward VMC. After obtaining all necessary approvals from relevant institutions and parents, students proceeded to testing and surveying in their school classrooms, under the supervision of designated individuals who facilitated the conduct of the research. The distribution of the data was not normal, so we used the Pearson Chi-square, likelihood ratio Chi-square, and linear-by-linear association test to examine the association between student attitudes and categorical variables (gender and grade). In addition, we used frequencies and percentages. It has been concluded that the students are mostly positive towards applying visualization in their process of solving mathematical problems and these should be used in the direction of improving the students’ success, their confidence and their level of contentment in their mathematics class, as well as in other life situations that encompass mathematical content","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140354229","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Dalal H. Alfageh, Cindy S. York, Angie Hodge-Zickerman, Ying Xie
This case study examined teachers’ perceptions and use of adaptive diagnostic assessment for improving teaching and learning of elementary-level mathematics. The purpose was to understand how the teaching and learning of mathematics occurred in the classroom and changes that transpired due to the implementation of diagnostic assessments. Findings illustrate that diagnostic assessment can be a critical tool for improving pedagogical practice by enhancing mathematics teaching and learning by creating groups of students, planning lesson time, focused pedagogy, giving student feedback, communicating with stakeholders, and improving teacher efficiency. Participants demonstrated satisfaction with the benefits offered by diagnostic assessment for improving mathematics teaching and learning. Participants described challenges that hindered their effective use of diagnostic assessment tools. The findings of this study support a case for the adoption of diagnostic assessments to improve pedagogical practice and promote mathematics learning among elementary-level students.
{"title":"Elementary teachers’ use of adaptive diagnostic assessment to improve mathematics teaching and learning: A case study","authors":"Dalal H. Alfageh, Cindy S. York, Angie Hodge-Zickerman, Ying Xie","doi":"10.29333/iejme/14190","DOIUrl":"https://doi.org/10.29333/iejme/14190","url":null,"abstract":"This case study examined teachers’ perceptions and use of adaptive diagnostic assessment for improving teaching and learning of elementary-level mathematics. The purpose was to understand how the teaching and learning of mathematics occurred in the classroom and changes that transpired due to the implementation of diagnostic assessments. Findings illustrate that diagnostic assessment can be a critical tool for improving pedagogical practice by enhancing mathematics teaching and learning by creating groups of students, planning lesson time, focused pedagogy, giving student feedback, communicating with stakeholders, and improving teacher efficiency. Participants demonstrated satisfaction with the benefits offered by diagnostic assessment for improving mathematics teaching and learning. Participants described challenges that hindered their effective use of diagnostic assessment tools. The findings of this study support a case for the adoption of diagnostic assessments to improve pedagogical practice and promote mathematics learning among elementary-level students.","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139786851","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The effectiveness of group problem-solving in mathematics depends on the extent to which meaningful participation is distributed across all group members. One way to explore how participation is distributed within groups is by examining how students are positioned within group interactions. In this study, we explore the social instructional factors that cause elementary students to move in and out of positions that support cognitive engagement during collaborative problem-solving in mathematics. Using a case study analysis of three elementary students working in a group, we found five social instructional factors that caused students to move in and out of cognitive-oriented positions during group work in mathematics: (1) building an ally through common language, (2) physical access to the chalkboard and resources, (3) tone of voice, (4) teacher intervention, and (5) contestation from peers. The findings promote implications for effectively facilitating group work in mathematics.
{"title":"Analyzing elementary students’ access to cognitive-oriented positions in mathematics","authors":"Tye G. Campbell, Haleigh Sears","doi":"10.29333/iejme/14191","DOIUrl":"https://doi.org/10.29333/iejme/14191","url":null,"abstract":"The effectiveness of group problem-solving in mathematics depends on the extent to which meaningful participation is distributed across all group members. One way to explore how participation is distributed within groups is by examining how students are positioned within group interactions. In this study, we explore the social instructional factors that cause elementary students to move in and out of positions that support cognitive engagement during collaborative problem-solving in mathematics. Using a case study analysis of three elementary students working in a group, we found five social instructional factors that caused students to move in and out of cognitive-oriented positions during group work in mathematics: (1) building an ally through common language, (2) physical access to the chalkboard and resources, (3) tone of voice, (4) teacher intervention, and (5) contestation from peers. The findings promote implications for effectively facilitating group work in mathematics.","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139846788","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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