Models for Products

Autor/inn/en	Speiser, Bob; Walter, Chuck
Titel	Models for Products
Quelle	In: Journal of Mathematical Behavior, 30 (2011) 4, S.271-290 (20 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0732-3123
DOI	10.1016/j.jmathb.2011.05.001
Schlagwörter	Models; Productive Thinking; Concept Formation; Fundamental Concepts; Mathematical Concepts; Multiplication; Transformative Learning; Self Concept + Suchen Sie Ihr Suchwort? Analogiemodell; Produktives Denken; Concept learning; Begriffsbildung; Grundlagenplan; Konzept; Multiplikation; Pädagogische Transformation; Selbstkonzept
Abstract	This paper explores how models can support productive thinking. For us a model is a "thing", a tool to help make sense of something. We restrict attention to specific models for whole-number multiplication, hence the wording of the title. They support evolving thinking in large measure through the ways their users redesign them. They assume new forms, come to be seen and understood in different ways. We show how work that learners do with models can help them to transform, not simply their understanding of key concepts, but also how they come to view themselves as thinkers and learners, as collaborators in a social process that their work and thinking help to constitute. We draw on recent research on core knowledge, especially by Carey, Spelke, and Tomasello, to clarify how models, as we view them here, can underpin specific actions that support emerging understanding. (Contains 8 figures.) (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10