This paper addresses contributions that dynamic geometry systems (DGSs) may give in reasoning by contradiction in geometry. We present analyses of three excerpts of students’ work and use the notion of pseudo object, elaborated from previous research, to show some specificities of DGS in constructing proof by contradiction. In particular, we support the claim that a DGS can offer guidance in the solver’s development of an indirect argument thanks to the potential it offers of both constructing certain properties robustly, and of helping the solver perceive pseudo objects.

Reasoning by contradiction in dynamic geometry / Baccaglini-Frank Anna; Antonini Samuele; Leung Allen; Mariotti Maria Alessandra. - In: PNA. - ISSN 1886-1350. - ELETTRONICO. - 7:(2013), pp. 63-73.

Reasoning by contradiction in dynamic geometry

Antonini Samuele;
2013

Abstract

This paper addresses contributions that dynamic geometry systems (DGSs) may give in reasoning by contradiction in geometry. We present analyses of three excerpts of students’ work and use the notion of pseudo object, elaborated from previous research, to show some specificities of DGS in constructing proof by contradiction. In particular, we support the claim that a DGS can offer guidance in the solver’s development of an indirect argument thanks to the potential it offers of both constructing certain properties robustly, and of helping the solver perceive pseudo objects.
2013
PNA
7
63
73
Baccaglini-Frank Anna; Antonini Samuele; Leung Allen; Mariotti Maria Alessandra
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1244515
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