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.
Baccaglini Frank, A., Antonini, S., Leung, A., Mariotti, M.A. (2011). Reasoning by Contradiction in Dynamic Geometry. In Proceedings of the 35rd Conference of the International Group for the Psychology of Mathematics Education (pp.81-88). Ankara : Middle East Technical University.
Reasoning by Contradiction in Dynamic Geometry
MARIOTTI, MARIA ALESSANDRA
2011-01-01
Abstract
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.
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https://hdl.handle.net/11365/42995
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