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ERIC Number: ED500900
Record Type: Non-Journal
Publication Date: 2003-Jul
Pages: 8
Abstractor: Author
Reference Count: 16
ISBN: N/A
ISSN: N/A
Non-Examples and Proof by Contradiction
Antonini, Samuele
International Group for the Psychology of Mathematics Education, Paper presented at the 27th International Group for the Psychology of Mathematics Education Conference Held Jointly with the 25th PME-NA Conference (Honolulu, HI, Jul 13-18, 2003), v2 p49-56
Researches in Mathematics Education about proof by contradiction revealed some difficulties of the students but also that this kind of argumentation comes spontaneously in certain situations. In this paper we shall show some processes that might lead the student to produce a proof by contradiction. In particular, we shall point out a deep link between a certain kind of examples (which we call non-examples) generated during the stage of conjecture production, and the structure of the argumentation with which the conjecture is justified. (Contains 2 figures.) [For complete proceedings, see ED500859.]
International Group for the Psychology of Mathematics Education. 35 Aandwind Street, Kirstenhof, Cape Town, 7945, South Africa. Tel: +27-21-715-3559; Fax: +27-88-021-715-3559; e-mail: info@igpme.org; Web site: http://igpme.org
Publication Type: Reports - Descriptive; Speeches/Meeting Papers
Education Level: Higher Education; Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A