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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Autores principales:	Zakaria Ndemo, David Mtetwa
Formato:	article
Lenguaje:	EN ID
Publicado:	Muhammadiyah University Press 2021
Materias:	mathematical definition, personal concept definition, angle of contiguity, student teachers Education (General) L7-991 Science Q Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/84b7dee724d2493e9b79d65be212a3b2
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spelling	oai:doaj.org-article:84b7dee724d2493e9b79d65be212a3b22021-11-21T14:42:41ZMathematics education undergraduates’ personal definitions of the notion of angle of contiguity in Kinematics2503-369710.23917/jramathedu.v6i2.11130https://doaj.org/article/84b7dee724d2493e9b79d65be212a3b22021-03-01T00:00:00Zhttps://journals.ums.ac.id/index.php/jramathedu/article/view/11130https://doaj.org/toc/2503-3697The 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.Zakaria NdemoDavid MtetwaMuhammadiyah University Pressarticlemathematical definition, personal concept definition, angle of contiguity, student teachersEducation (General)L7-991ScienceQMathematicsQA1-939ENIDJournal of Research and Advances in Mathematics Education, Vol 6, Iss 2, Pp 111-127 (2021)
institution	DOAJ
collection	DOAJ
language	EN ID
topic	mathematical definition, personal concept definition, angle of contiguity, student teachers Education (General) L7-991 Science Q Mathematics QA1-939
spellingShingle	mathematical definition, personal concept definition, angle of contiguity, student teachers Education (General) L7-991 Science Q Mathematics QA1-939 Zakaria Ndemo David Mtetwa Mathematics education undergraduates’ personal definitions of the notion of angle of contiguity in Kinematics
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
author	Zakaria Ndemo David Mtetwa
author_facet	Zakaria Ndemo David Mtetwa
author_sort	Zakaria Ndemo
title	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_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_sort	mathematics education undergraduates’ personal definitions of the notion of angle of contiguity in kinematics
publisher	Muhammadiyah University Press
publishDate	2021
url	https://doaj.org/article/84b7dee724d2493e9b79d65be212a3b2
work_keys_str_mv	AT zakariandemo mathematicseducationundergraduatespersonaldefinitionsofthenotionofangleofcontiguityinkinematics AT davidmtetwa mathematicseducationundergraduatespersonaldefinitionsofthenotionofangleofcontiguityinkinematics
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Mathematics education undergraduates’ personal definitions of the notion of angle of contiguity in Kinematics

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