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.
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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|Item Type:||Journal Article|
|Keywords:||Diophantine Equations, Spreadsheets, Technology-motivated Conjecturing, Teach in Context, Proof|
|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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