02858nam 22004453u 450 991077734560332120230421041951.01-4384-0580-4(CKB)1000000000002098(EBL)3406959(OCoLC)923397449(MiAaPQ)EBC3406959(EXLCZ)99100000000000209820160801d1994|||| u|| |engur|n|---|||||Development of Multiplicative Reasoning in the Learning of Mathematics[electronic resource]Ithaca State University of New York Press19941 online resource (197 p.)Description based upon print version of record.0-7914-1764-6 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 RATE6. 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 MODELS10. 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; A; B; C; D; E; F; G; H; I; J; K; L; M; N; O; P; R; S; T; V; W; SUBJECT INDEX; A; B; C; D; E; F; G; H; I; L; M; N; O; P; Q; R; S; T; U; V; WDivisionMathematics -- Study and teaching (Elementary)MultiplicationDivision.Mathematics -- Study and teaching (Elementary).Multiplication.372.7/2044Harel Guershon1485564Confrey Jere1485565AU-PeELAU-PeELAU-PeELBOOK9910777345603321Development of Multiplicative Reasoning in the Learning of Mathematics3704765UNINA