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Development of Multiplicative Reasoning in the Learning of Mathematics.
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Ithaca :
State University of New York Press,
1994.
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| Colección: | SUNY series, reform in mathematics education The Development of multiplicative reasoning in the learning of mathematics
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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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