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The anatomy of a mathematical proof : implications for analyses with Toulmin's scheme.

Simpson, A. (2015) 'The anatomy of a mathematical proof : implications for analyses with Toulmin's scheme.', Educational studies in mathematics., 90 (1). pp. 1-17.

Abstract

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.

Item Type:Article
Keywords:Toulmin’s scheme, Proof, Assessment.
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1007/s10649-015-9616-0
Publisher statement:The final publication is available at Springer via http://dx.doi.org/10.1007/s10649-015-9616-0.
Date accepted:08 June 2015
Date deposited:30 June 2015
Date of first online publication:11 July 2015
Date first made open access:11 July 2016

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