Collateral Learning and Mathematical Education of Teachers

Autor/in	Abramovich, Sergei
Titel	Collateral Learning and Mathematical Education of Teachers
Quelle	In: International Journal of Mathematical Education in Science and Technology, 43 (2012) 3, S.315-336 (22 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
DOI	10.1080/0020739X.2011.618551
Schlagwörter	Teaching Methods; Preservice Teacher Education; Learning Experience; Mathematics Education; Mathematical Formulas; Mathematics Teachers; Mathematics Instruction; Secondary School Mathematics; Preservice Teachers; Geometry; Reflection; Mathematics Curriculum; Numbers; Teacher Education Programs; Mathematical Logic; Validity; Arithmetic; Secondary School Teachers + Suchen Sie Ihr Suchwort? Teaching method; Lehrmethode; Unterrichtsmethode; Lehramtsstudiengang; Lehrerausbildung; Lernerfahrung; Mathematische Bildung; Mathematische Formel; Mathematics; Teacher; Teachers; Mathematik; Lehrer; Lehrerin; Lehrende; Mathematics lessons; Mathematikunterricht; Geometrie; Zahlenraum; Mathematical logics; Mathematische Logik; Gültigkeit; Addition; Arithmetik; Arithmetikunterricht; Rechnen
Abstract	This article explores the notion of collateral learning in the context of classic ideas about the summation of powers of the first "n" counting numbers. Proceeding from the well-known legend about young Gauss, this article demonstrates the value of reflection under the guidance of "the more knowledgeable other" as a pedagogical method of making one's mathematics learning experience educative. This includes learning about the efficacy of generalizing by induction and the perils of overgeneralization. Recourse to geometry and computing as support system in understanding concepts of algebra is emphasized towards the end of promoting an experiential approach to mathematics. This article stems from the author's work with prospective teachers of secondary mathematics in a capstone course. Their reflections on the course are shared and analysed. (Contains 12 figures and 2 notes.) (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10