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Diophantine Equations as a Context for Technology-Enhanced Training in Conjecturing and Proving
ARTICLE

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PRIMUS Volume 18, Number 3, ISSN 1051-1970

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. (Contains 4 figures.)

Citation

Abramovich, S. & Sugden, S.J. (2008). Diophantine Equations as a Context for Technology-Enhanced Training in Conjecturing and Proving. PRIMUS, 18(3), 257-275. Retrieved July 15, 2019 from .

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