Title

Diophantine equations as a context for technology-enhanced training in conjecturing and proving

Date of this Version

5-1-2008

Document Type

Journal Article

Publication Details

Interim status: Citation only.

Abramovich, S., & Sugden, S. J. (2008). Diophantine equations as a context for technology-enhanced training in conjecturing and proving. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, 18(3), 257-275.

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2008 HERDC submission. FoR Code: 0199

© Copyright Taylor & Francis Group, LLC, 2008

Abstract

Solving indeterminate algebraic equations in integers is a classic topic in the mathematics curricula across grades. At the undergraduate level, the study of solutions of non-linear equations of this kind can be motivated by the use of technology. This article shows how the unity of geometric contextualization and spreadsheet-based amplification of this topic can provide a discovery experience for prospective secondary teachers and information technology students. Such experience can be extended to include a transition from a computationally driven conjecturing to a formal proof based on a number of simple yet useful techniques.

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This document has been peer reviewed.