The Development of Multiplicative Reasoning in the Learning of Mathematics (Reform Math Education (Dis)) - Hardcover

9780791417638: The Development of Multiplicative Reasoning in the Learning of Mathematics (Reform Math Education (Dis))

Hardcover

ISBN 10: 0791417638 ISBN 13: 9780791417638

Publisher: State University of New York Press, 1994

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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About the Author

Guershon Harel is Associate Professor of Mathematics at Purdue University Jere Confrey is Associate Professor of Education at Cornell University.

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