Qualities of examples in learning and teaching.

Autor/inn/en	Watson, Anne; Chick, Helen
Titel	Qualities of examples in learning and teaching.
Quelle	In: ZDM : mathematics education, 43 (2011) 2, S. 283-294 PDF als Volltext Link als defekt meldenVerfügbarkeit
Sprache	englisch
Dokumenttyp	online; gedruckt; Zeitschriftenaufsatz
ISSN	1863-9690; 1863-9704
DOI	10.1007/s11858-010-0301-6
Schlagwörter	Lernen; Beispiel; Didaktik; Lehren; Mathematik; Generalisierung; Qualität
Abstract	In this paper, we theorise about the different kinds of relationship between examples and the classes of mathematical objects that they exemplify as they arise in mathematical activity and teaching. We ground our theorising in direct experience of creating a polynomial that fits certain constraints to develop our understanding of engagement with examples. We then relate insights about exemplification arising from this experience to a sequence of lessons. Through these cases, we indicate the variety of fluent uses of examples made by mathematicians and experienced teachers. Following Thompson's concept of "didactic object" (see ME 2005e.02101), we talk about "didacticising" an example and observe that the nature of students' engagement is important, as well as the teacher's intentions and actions (Thompson avoids using a verb with the root "didact". We use the verb "didacticise" but without implying any connection to particular theoretical approaches which use the same verb.). The qualities of examples depend as much on human agency, such as pedagogical intent or mathematical curiosity or what is noticed, as on their mathematical relation to generalities.
Erfasst von	FIZ Karlsruhe - Leibniz-Institut für Informationsinfrastruktur
Update	2012/2