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ERIC Number: EJ811004
Record Type: Journal
Publication Date: 2008-May
Pages: 19
Abstractor: As Provided
Reference Count: 40
ISSN: ISSN-1051-1970
Diophantine Equations as a Context for Technology-Enhanced Training in Conjecturing and Proving
Abramovich, Sergei; Sugden, Stephen J.
PRIMUS, v18 n3 p257-275 May 2008
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.)
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A