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The Development of Multiplicative Reasoning in the Learning of Mathematics

The Development of Multiplicative Reasoning in the Learning of Mathematics PDF Author: Guershon Harel
Publisher: SUNY Press
ISBN: 9780791417638
Category : Education
Languages : en
Pages : 448

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Book 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.