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Development of Multiplicative Reasoning in the Learning of Mathematics [[electronic resource]]
| Development of Multiplicative Reasoning in the Learning of Mathematics [[electronic resource]] |
| Autore | Harel Guershon |
| Pubbl/distr/stampa | Ithaca, : State University of New York Press, 1994 |
| Descrizione fisica | 1 online resource (197 p.) |
| Disciplina | 372.7/2044 |
| Altri autori (Persone) | ConfreyJere |
| Soggetto topico |
Division
Mathematics -- Study and teaching (Elementary) Multiplication |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4384-0580-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
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; 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; W |
| Record Nr. | UNINA-9910449869503321 |
Harel Guershon
|
||
| Ithaca, : State University of New York Press, 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Development of Multiplicative Reasoning in the Learning of Mathematics [[electronic resource]]
| Development of Multiplicative Reasoning in the Learning of Mathematics [[electronic resource]] |
| Autore | Harel Guershon |
| Pubbl/distr/stampa | Ithaca, : State University of New York Press, 1994 |
| Descrizione fisica | 1 online resource (197 p.) |
| Disciplina | 372.7/2044 |
| Altri autori (Persone) | ConfreyJere |
| Soggetto topico |
Division
Mathematics -- Study and teaching (Elementary) Multiplication |
| ISBN | 1-4384-0580-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
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; 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; W |
| Record Nr. | UNINA-9910777345603321 |
|
Harel Guershon
|
||
| Ithaca, : State University of New York Press, 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Development of multiplicative reasoning in the learning of mathematics / / edited by Guershon Harel and Jere Confrey
| The Development of multiplicative reasoning in the learning of mathematics / / edited by Guershon Harel and Jere Confrey |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Albany, : State University of New York Press, c1994 |
| Descrizione fisica | 1 online resource (197 p.) |
| Disciplina | 372.7/2044 |
| Altri autori (Persone) |
HarelGuershon <1952->
ConfreyJere |
| Collana | SUNY series, reform in mathematics education |
| Soggetto topico |
Mathematics - Study and teaching (Elementary)
Multiplication Division |
| ISBN | 1-4384-0580-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
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; 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; W |
| Altri titoli varianti | Multiplicative reasoning in the learning of mathematics |
| Record Nr. | UNINA-9910816796703321 |
| Albany, : State University of New York Press, c1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Word problems using multiplication and division / / Zella Williams and Rebecca Wingard-Nelson
| Word problems using multiplication and division / / Zella Williams and Rebecca Wingard-Nelson |
| Autore | Williams Zella |
| Pubbl/distr/stampa | New York, NY : , : Enslow Publishing, , 2017 |
| Descrizione fisica | 1 online resource (48 pages) : illustrations |
| Disciplina | 513.213 |
| Soggetto topico |
Multiplication
Division Word problems (Mathematics) |
| ISBN | 0-7660-8267-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910157824403321 |
|
Williams Zella
|
||
| New York, NY : , : Enslow Publishing, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
