Mathematics education undergraduates’ personal definitions of the notion of angle of contiguity in Kinematics
The concept of a mathematical definition causes severe difficulties among students during problem solving and proving activities. Students’ difficulties with the use of mathematical definitions often arise from the fact that students are often given those definitions instead of constructing them. Wi...
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| Format: | Article |
| Language: | English |
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Muhammadiyah University Press
2021-03-01
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| Series: | Journal of Research and Advances in Mathematics Education |
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| Online Access: | https://journals2.ums.ac.id/index.php/jramathedu/article/view/9358 |
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| author | Zakaria Ndemo David Mtetwa |
| author_facet | Zakaria Ndemo David Mtetwa |
| author_sort | Zakaria Ndemo |
| collection | DOAJ |
| description | The concept of a mathematical definition causes severe difficulties among students during problem solving and proving activities. Students’ difficulties with the use of mathematical definitions often arise from the fact that students are often given those definitions instead of constructing them. With the aim of developing an understanding of the kinds of student teachers evoked concept images of the notion of angle of contiguity, a qualitative case study was conducted at one state university in Zimbabwe. Purposive sampling was used to select 28 mathematics undergraduate student teachers who responded to a test item. Qualitative data analysis was guided by ideas drawn from the theoretical framework of Abstraction in Context and idea of imperative features of a mathematical definition. Student teachers written responses revealed that student teachers personal concept definitions consisted of ambiguous and irrelevant formulations that did not capture the essence of the idea of the angle of contiguity. In some cases their responses were not consistent with the definition of the angle of contiguity. Although there were a few instances of adequate descriptions of the concept, (8 out of 32) these and the inadequate descriptors elicited can contribute significantly towards efforts intended to improve mathematics instruction. Improved mathematics instruction will lead to enhanced conceptualizations of mathematics concepts. |
| format | Article |
| id | doaj-art-84b7dee724d2493e9b79d65be212a3b2 |
| institution | Kabale University |
| issn | 2503-3697 |
| language | English |
| publishDate | 2021-03-01 |
| publisher | Muhammadiyah University Press |
| record_format | Article |
| series | Journal of Research and Advances in Mathematics Education |
| spelling | doaj-art-84b7dee724d2493e9b79d65be212a3b22025-08-20T03:33:36ZengMuhammadiyah University PressJournal of Research and Advances in Mathematics Education2503-36972021-03-0111112710.23917/jramathedu.v6i2.111309421Mathematics education undergraduates’ personal definitions of the notion of angle of contiguity in KinematicsZakaria Ndemo0David Mtetwa1Department of Science and Mathematics Education, Bindura University of Science Education, ZimbabweDepartment of Science and Mathematics Education, University of Zimbabwe, ZimbabweThe concept of a mathematical definition causes severe difficulties among students during problem solving and proving activities. Students’ difficulties with the use of mathematical definitions often arise from the fact that students are often given those definitions instead of constructing them. With the aim of developing an understanding of the kinds of student teachers evoked concept images of the notion of angle of contiguity, a qualitative case study was conducted at one state university in Zimbabwe. Purposive sampling was used to select 28 mathematics undergraduate student teachers who responded to a test item. Qualitative data analysis was guided by ideas drawn from the theoretical framework of Abstraction in Context and idea of imperative features of a mathematical definition. Student teachers written responses revealed that student teachers personal concept definitions consisted of ambiguous and irrelevant formulations that did not capture the essence of the idea of the angle of contiguity. In some cases their responses were not consistent with the definition of the angle of contiguity. Although there were a few instances of adequate descriptions of the concept, (8 out of 32) these and the inadequate descriptors elicited can contribute significantly towards efforts intended to improve mathematics instruction. Improved mathematics instruction will lead to enhanced conceptualizations of mathematics concepts.https://journals2.ums.ac.id/index.php/jramathedu/article/view/9358mathematical definitionpersonal concept definition,angle of contiguitystudent teachers |
| spellingShingle | Zakaria Ndemo David Mtetwa Mathematics education undergraduates’ personal definitions of the notion of angle of contiguity in Kinematics Journal of Research and Advances in Mathematics Education mathematical definition personal concept definition, angle of contiguity student teachers |
| title | Mathematics education undergraduates’ personal definitions of the notion of angle of contiguity in Kinematics |
| title_full | Mathematics education undergraduates’ personal definitions of the notion of angle of contiguity in Kinematics |
| title_fullStr | Mathematics education undergraduates’ personal definitions of the notion of angle of contiguity in Kinematics |
| title_full_unstemmed | Mathematics education undergraduates’ personal definitions of the notion of angle of contiguity in Kinematics |
| title_short | Mathematics education undergraduates’ personal definitions of the notion of angle of contiguity in Kinematics |
| title_sort | mathematics education undergraduates personal definitions of the notion of angle of contiguity in kinematics |
| topic | mathematical definition personal concept definition, angle of contiguity student teachers |
| url | https://journals2.ums.ac.id/index.php/jramathedu/article/view/9358 |
| work_keys_str_mv | AT zakariandemo mathematicseducationundergraduatespersonaldefinitionsofthenotionofangleofcontiguityinkinematics AT davidmtetwa mathematicseducationundergraduatespersonaldefinitionsofthenotionofangleofcontiguityinkinematics |