Perspectives on representation in mathematical learning and problem solving

Authored by: Gerald Goldin

Handbook of International Research in Mathematics Education

Print publication date:  June  2008
Online publication date:  April  2010

Print ISBN: 9780805858754
eBook ISBN: 9780203930236
Adobe ISBN: 9781135192761

10.4324/9780203930236.ch9

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Abstract

Representation is a crucial element for a theory of mathematics teaching and learning, not only because the use of symbolic systems is so important in mathematics, the syntax and semantic of which are rich, varied, and universal, but also for two strong epistemological reasons: (1) Mathematics plays an essential part in conceptualizing the real world; (2) Mathematics makes a wide use of homomorphisms in which the reduction of structures to one another is essential.

Vergnaud, 1987, p. 227

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