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Autor/inSimpson, Adrian
TitelThe Anatomy of a Mathematical Proof: Implications for Analyses with Toulmin's Scheme
QuelleIn: Educational Studies in Mathematics, 90 (2015) 1, S.1-17 (17 Seiten)Infoseite zur Zeitschrift
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Spracheenglisch
Dokumenttypgedruckt; online; Zeitschriftenaufsatz
ISSN0013-1954
DOI10.1007/s10649-015-9616-0
SchlagwörterMathematical Logic; Models; Persuasive Discourse; Mathematics Education; Literature Reviews; Teaching Methods; Mathematical Applications; Problem Solving; Educational Practices; Educational Strategies; Educational Change; Change Strategies
AbstractA 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. (As Provided).
AnmerkungenSpringer. 233 Spring Street, New York, NY 10013. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-348-4505; e-mail: service-ny@springer.com; Web site: http://www.springerlink.com
Erfasst vonERIC (Education Resources Information Center), Washington, DC
Update2020/1/01
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