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ERIC Number: EJ887188
Record Type: Journal
Publication Date: 2010-Jul
Pages: 18
Abstractor: As Provided
ISSN: ISSN-0013-1954
Drawing Space: Mathematicians' Kinetic Conceptions of Eigenvectors
Sinclair, Nathalie; Gol Tabaghi, Shiva
Educational Studies in Mathematics, v74 n3 p223-240 Jul 2010
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.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A