Literature on research in dynamic geometry environments (DGEs) addresses the importance of the perception of invariants in open problem investigations. In this paper, in order to analyse students’ processes during exploration, conjecturing, and proving in DGEs, we introduce a framework that distinguishes different types of invariants. Students’ interpretation of these invariants seems to be strongly rooted in the processes of their discovery more than in the generality of theorems and proofs.
Different perceptions of invariants and generality of proof in dynamic geometry
ANTONINI, SAMUELE
2009-01-01
Abstract
Literature on research in dynamic geometry environments (DGEs) addresses the importance of the perception of invariants in open problem investigations. In this paper, in order to analyse students’ processes during exploration, conjecturing, and proving in DGEs, we introduce a framework that distinguishes different types of invariants. Students’ interpretation of these invariants seems to be strongly rooted in the processes of their discovery more than in the generality of theorems and proofs.File in questo prodotto:
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