Literaturnachweis - Detailanzeige
| Autor/in | Antonini, Samuele |
|---|---|
| Titel | A Statement, the Contrapositive and the Inverse: Intuition and Argumentation [Konferenzbericht] 28th, Bergen, Norway, July 14-18, 2004. |
| Quelle | (2004), (8 Seiten)
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| Sprache | englisch |
| Dokumenttyp | gedruckt; online; Monographie |
| Schlagwörter | High School Students; Grade 10; Secondary School Mathematics; Persuasive Discourse; Foreign Countries; Mathematics Education; Mathematical Logic; Validity; Mathematical Concepts; Italy |
| Abstract | The equivalence between a statement and its contrapositive is so obvious for an expert that, usually, he does not need any explanation. In this paper, we shall examine the argumentations which students produce in order to justify a statement that, in their opinion, is equivalent to a given statement. We shall observe that the most common argumentations come out from the effort to adjust the proof of the first statement to the second one. Analysing these argumentations, it will emerge that for the students the (false) equivalence between a statement and its inverse is intuitive and the (true) equivalence between a statement and its contrapositive is not intuitive. [For complete proceedings, see ED489632.] (Author). |
| Anmerkungen | International Group for the Psychology of Mathematics Education, 35 Aandwind Street, Kirstenhof, Cape Town, 7945, South Africa. Web site: http://igpme.org. |
| Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
| Update | 2017/4/10 |
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