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The Development of multiplicative reasoning in the learning of mathematics
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The Development of multiplicative reasoning in the learning of mathematics
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eBook
The Development of multiplicative reasoning in the learning of mathematics
1994
Overview
This book is a compilation of recent research on the development of multiplicative concepts. The sections and chapters are: (1) Theoretical Approaches: \"Children's Multiplying Schemes\" (L. Steffe), \"Multiplicative Conceptual Field: What and Why?\" (G. Vergnaud), \"Extending the Meaning of Multiplication and Division\" (B. Greer); (2) The Role of the Unit: \"Ratio and Proportion: Cognitive Foundations in Unitizing and Norming\" (S. Lamon), \"Units of Quantity: A Conceptual Basis Common to Additive and Multiplicative Structures\" (M. Behr, G. Harel, T. Post, and R. Lesh); (3) Ratio and Rate: \"The Development of the Concept of Speed and Its Relationship to Concepts of Rate\" (P. Thompson), \"Missing-Value Proportional Reasoning Problems: Factors Affecting Informal Reasoning Patterns\" (J. Kaput and M. West); (4) Multiplicative Worlds: \"Splitting, Similarity, and Rate of Change: A New Approach to Multiplication and Exponential Functions\" (J. Confrey), \"Multiplicative Structures and the Development of Logarithms: What Was Lost by the Invention of Functions\" (E. Smith & J. Confrey); (5) Intuitive Models; \"The Impact of the Number Type on the Solution of Multiplication and Division Problems: Further Investigations\" (G. Harel, M. Behr, T. Post, and R. Lesh); and (6) Summary: \"Multiple Views of Multiplicative Structures\" (T. Kieren). Author and subject indexes are included. (MKR)
Publisher
State University of New York Press,State University of New York Press, State University Plaza, Albany, NY
Subject
ISBN
0791417646, 9780791417638, 0791417638, 9780791417645
