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All Journal Journal on Mathematics Education (JME) Journal of Research and Advances in Mathematics Education Journal of Innovation in Educational and Cultural Research JRAMathEdu (Journal of Research and Advances in Mathematics Education) Journal on Mathematics Education
Ndemo, Zakaria
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Education Mathematics Social Sciences Other

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Journal : Journal on Mathematics Education

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Flaws in proof constructions of postgraduate mathematics education student teachers Ndemo, Zakaria
Journal on Mathematics Education Vol. 10 No. 3 (2019): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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Abstract

Intending to improve the teaching and learning of the notion of mathematical proof this study seeks to uncover the kinds of flaws in postgraduate mathematics education student teachers. Twenty-three student teachers responded to a proof task involving the concepts of transposition and multiplication of matrices. Analytic induction strategy that drew ideas from the literature on evaluating students’ proof understanding and Yang and Lin’s model of proof comprehension applied to informants’ written responses to detect the kinds of flaws in postgraduates’ proof attempts. The study revealed that the use of empirical verifications was dominant and in situations. Whereby participants attempted to argue using arbitrary mathematical objects, the cases considered did not represent the most general case. Flawed conceptualizations uncovered by this study can contribute to efforts directed towards fostering strong subject content command among school mathematics teachers.
Co-Authors Anas, Aswar Mtetwa, David Mtetwa, David K. J. Munir, Nilam Permatasari Musa, Lisa Aditya Dwiwansyah