Higher order reasoning produced in proof construction: how well do secondary school students explain and write mathematical proofs?

Yevdokimov, Oleksiy (2009) Higher order reasoning produced in proof construction: how well do secondary school students explain and write mathematical proofs? In: ICMI Study 19 Working Conference: Proof and Proving in Mathematics Education, 10-15 May 2009, Taipei.

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Abstract

The culture of mathematical explanations and writings based on conceptual understanding in proof construction is on the focus of the paper. We explore students’ attempts to explain construction of mathematical proofs after reading them and write mathematical proofs after working out their own constructions. Two examples of proofs, by induction and by contradiction, are discussed in detail to highlight students’ difficulties in proving and possible ways for their resolving.


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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: Author retains copyright.
Depositing User: Dr Oleksiy Yevdokimov
Faculty / Department / School: Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited: 05 Oct 2009 04:39
Last Modified: 11 Feb 2014 23:25
Uncontrolled Keywords: mathematical explanations, proof construction, conceptual understanding
Fields of Research (FOR2008): 13 Education > 1302 Curriculum and Pedagogy > 130208 Mathematics and Numeracy Curriculum and Pedagogy
URI: http://eprints.usq.edu.au/id/eprint/5225

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