Diophantine equations as a context for technology-enhanced training in conjecturing and proving
Data(s) |
2008
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Resumo |
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. |
Identificador | |
Publicador |
Taylor & Francis Inc. |
Relação |
DOI:10.1080/10511970601131530 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. |
Fonte |
School of Mathematical Sciences; Science & Engineering Faculty |
Palavras-Chave | #Diophantine Equations #Spreadsheets #Technology-motivated Conjecturing #Teach in Context #Proof |
Tipo |
Journal Article |