Literaturnachweis - Detailanzeige
| Autor/inn/en | Lockwood, Elise; Ellis, Amy B.; Dogan, Muhammed F.; Williams, Caroline C.; Knuth, Eric |
|---|---|
| Titel | A Framework for Mathematicians' Example-Related Activity When Exploring and Proving Mathematical Conjectures [Konferenzbericht] Paper presented at the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (34th, Kalamazoo, MI, Nov 1-4, 2012). |
| Quelle | (2012), (8 Seiten)
PDF als Volltext kostenfreie Datei |
| Sprache | englisch |
| Dokumenttyp | gedruckt; online; Monographie |
| Schlagwörter | Models; Mathematics Instruction; Professional Personnel; Mathematical Logic; Validity; Thinking Skills; Online Surveys; Mathematics Activities |
| Abstract | Examples play a critical role in mathematical practice, particularly in the exploration of conjectures and in the subsequent development of proofs. Although proof has been an object of extensive study, the role that examples play in the process of exploring and proving conjectures has not received the same attention. In this paper, we present a framework that characterizes ways in which mathematicians utilize examples when investigating conjectures and developing proofs. The data consist of 133 mathematicians' responses to two open-ended survey questions. The framework offers categories for the types of examples, uses of examples, and example strategies that mathematicians discussed in reference to their work with conjectures. In addition to presenting the framework, we also discuss potential educational implications of the results. [For the complete proceedings, see ED584829.] (As Provided). |
| Anmerkungen | North American Chapter of the International Group for the Psychology of Mathematics Education. e-mail: pmena.steeringcommittee@gmail.com; Web site: http://www.pmena.org/ |
| Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
| Update | 2020/1/01 |
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