Drawing Space: Mathematicians' Kinetic Conceptions of Eigenvectors

Autor/inn/en	Sinclair, Nathalie; Gol Tabaghi, Shiva
Titel	Drawing Space: Mathematicians' Kinetic Conceptions of Eigenvectors
Quelle	In: Educational Studies in Mathematics, 74 (2010) 3, S.223-240 (18 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0013-1954
DOI	10.1007/s10649-010-9235-8
Schlagwörter	Mathematical Concepts; Mathematics; Professional Personnel; Semiotics; Algebra; Geometric Concepts + Suchen Sie Ihr Suchwort? Mathematik; Personalbestand; Semiotik; Elementare Geometrie
Abstract	This paper explores how mathematicians build meaning through communicative activity involving talk, gesture and diagram. In the course of describing mathematical concepts, mathematicians use these semiotic resources in ways that blur the distinction between the mathematical and physical world. We shall argue that mathematical meaning of eigenvectors depends strongly on both time and motion--hence, on physical interpretations of mathematical abstractions--which are dimensions of thinking that are typically deliberately absent from formal, written definition of the concept. We shall also show how gesture and talk contribute differently and uniquely to mathematical conceptualisation and further elaborate the claim that diagrams provide an essential mediating role between the two. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10