Development of Multiplicative Reasoning in the Learning of Mathematics.

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Bibliographic Details
Main Author:	Harel, Guershon
Other Authors:	Confrey, Jere
Format:	eBook
Language:	English
Published:	Ithaca : State University of New York Press, 1994.
Series:	SUNY series, reform in mathematics education The Development of multiplicative reasoning in the learning of mathematics
Subjects:	Mathematics > Study and teaching (Elementary) Multiplication. Division. Division Multiplication
Online Access:	Click for online access

Table of Contents:

CONTENTS
INTRODUCTION
I: THEORETICAL APPROACHES
1. Children's Multiplying Schemes by Leslie P. Steffe
2. Multiplicative Conceptual Field: What and Why? by Gerard Vergnaud
3. Extending the Meaning of Multiplication and Division by Brian Greer
II: THE ROLE OF THE UNIT
4. Ratio and Proportion: Cognitive Foundations in Unitizing and Norming by Susan J. Lamon
5. Units of Quantity: A Conceptual Basis Common to Additive and Multiplicative Structures by Merlyn J. Behr, Guershon Harel, Thomas Post, and Richard Lesh
III: RATIO AND RATE
6. The Development of the Concept of Speed and Its Relationship to Concepts of Rate by Patrick W. Thompson7. Missing-Value Proportional Reasoning Problems: Factors Affecting Informal Reasoning Patterns by James J. Kaput and Mary Maxwell West
IV: MULTIPLICATIVE WORLDS
8. Splitting, Similarity, and Rate of Change: A New Approach to Multiplication and Exponential Functions by Jere Confrey
9. Multiplicative Structures and the Development of Logarithms: What Was Lost by the Invention of Function? by Erick Smith and Jere Confrey
V: INTUITIVE MODELS
10. The Impact of the Number Type on the Solution of Multiplication and Division Problems: Further Considerations by Guershon Harel, Merlyn Behr, Thomas Post, and Richard LeshVI: SUMMARY
11. Multiple Views of Multiplicative Structure by Thomas E. Kieren
Index
NAME INDEX
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SUBJECT INDEX
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