The Development of Multiplicative Reasoning in the Learning of Mathematics: Luce Irigaray and ‘the Greeks’

The Development of Multiplicative Reasoning in the Learning of Mathematics: Luce Irigaray and ‘the Greeks’
ISBN-10
0791417638
ISBN-13
9780791417638
Category
Education
Pages
448
Language
English
Published
1994-01-01
Publisher
SUNY Press
Authors
Guershon Harel, Jere Confrey

Description

Two of the most important concepts children develop progressively throughout their mathematics education years are additivity and multiplicativity. Additivity is associated with situations that involve adding, joining, affixing, subtracting, separating and removing. Multiplicativity is associated with situations that involve duplicating, shrinking, stressing, sharing equally, multiplying, dividing, and exponentiating. This book presents multiplicativity in terms of a multiplicative conceptual field (MCF), not as individual concepts. It is presented in terms of interrelations and dependencies within, between, and among multiplicative concepts. The authors share the view that research on the mathematical, cognitive, and instructional aspects of multiplicative concepts must be situated in an MCF framework.

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