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 / Baccaglini-Frank A.; Mariotti M.A.; Antonini S.. - In: PROCEEDINGS OF THE PME CONFERENCE. - ISSN 0771-100X. - STAMPA. - 2:(2009), pp. 89-96. (Intervento presentato al convegno 33rd Conference of the International Group for the Psychology of Mathematics Education tenutosi a Thessaloniki, Greece nel 19-24 July, 2009).
Different perceptions of invariants and generality of proof in dynamic geometry
Antonini S.
2009
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.
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