Non-Examples and Proof by Contradiction [Konferenzbericht] 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.

Autor/in	Antonini, Samuele
Titel	Non-Examples and Proof by Contradiction [Konferenzbericht] 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.
Quelle	2 (2003), S.49-56 (8 Seiten) PDF als Volltext kostenfreie Datei Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Monographie
Schlagwörter	Mathematics Education; Persuasive Discourse; Mathematical Concepts; Mathematical Logic; Validity; Secondary School Students; Secondary School Mathematics; College Students; College Mathematics + Suchen Sie Ihr Suchwort? Mathematische Bildung; Persuasion; Persuasive Kommunikation; Mathematical logics; Mathematische Logik; Gültigkeit; Sekundarschüler; Collegestudent
Abstract	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.] (Author).
Anmerkungen	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
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10