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

Abramovich, Sergei & Sugden, Stephen J. (2008) Diophantine equations as a context for technology-enhanced training in conjecturing and proving. PRIMUS, 18(3), pp. 257-275.

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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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ID Code: 73080
Item Type: Journal Article
Refereed: Yes
Keywords: Diophantine Equations, Spreadsheets, Technology-motivated Conjecturing, Teach in Context, Proof
DOI: 10.1080/10511970601131530
ISSN: 1935-4053
Divisions: Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Deposited On: 25 Jun 2014 22:17
Last Modified: 27 Jun 2014 00:10

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