ERIC Number: EJ1070588
Record Type: Journal
Publication Date: 2015-Sep
Pages: 17
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0013-1954
EISSN: N/A
Available Date: N/A
The Anatomy of a Mathematical Proof: Implications for Analyses with Toulmin's Scheme
Simpson, Adrian
Educational Studies in Mathematics, v90 n1 p1-17 Sep 2015
A model solution to a proof question on an examination is explored and subjected to a detailed analysis in terms of Toulmin's scheme of argumentation. In doing so, the ways in which the scheme has been variously used in the mathematics education and philosophical literature are contrasted. The analysis raises a number of issues concerning the scheme as described by Toulmin and as modified by other authors and suggests ways in which one aspect of the scheme might be reinterpreted. The final analysis of the proof provides insight into what examiners may be expecting from their students in terms of the level of explicit argument they consider essential and the importance played by the focus of the subject matter.
Descriptors: Mathematical Logic, Models, Persuasive Discourse, Mathematics Education, Literature Reviews, Teaching Methods, Mathematical Applications, Problem Solving, Educational Practices, Educational Strategies, Educational Change, Change Strategies
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Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
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