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Approaches to algebra : perspectives for research and teaching / / edited by N. Bednarz, C. Kieran, L. Lee
| Approaches to algebra : perspectives for research and teaching / / edited by N. Bednarz, C. Kieran, L. Lee |
| Edizione | [1st ed. 1996.] |
| Pubbl/distr/stampa | Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1996 |
| Descrizione fisica | 1 online resource (xv, 348 pages) |
| Disciplina | 370 |
| Collana | Mathematics Education Library |
| Soggetto topico | Mathematics - Study and teaching |
| ISBN | 94-009-1732-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Approaches to Algebra: Perspectives for Research and Teaching -- I. Historical Perspectives in the Development of Algebra -- 2. From Euclid to Descartes: Algebra and its Relation to Geometry -- 3. The Roles of Geometry and Arithmetic in the Development of Algebra: Historical Remarks from a Didactic Perspective -- 4. The Role of Problems and Problem Solving in the Development of Algebra -- II. A Generalization Perspective on the Introduction of Algebra -- 5. Expressing Generality and Roots of Algebra -- 6. An Initiation into Algebraic Culture through Generalization Activities -- 7. Some Reflections on Teaching Algebra through Generalization -- III. A Problem-Solving Perspective on the Introduction of Algebra -- 8. Emergence and Development of Algebra as a Problem-Solving Tool: Continuities and Discontinuities with Arithmetic -- 9. Developing Algebraic Aspects of Problem Solving within a Spreadsheet Environment -- 10. Rough or Smooth? The Transition from Arithmetic to Algebra in Problem Solving -- 11. Algebraic thought and the Role of a Manipulable Symbolic Language -- 12. Placement and Function of Problems in Algebraic Treatises from Diophantus to Viète -- 13. Problem-Solving Approaches to Algebra: Two Aspects -- 14. “When is a Problem?”: Questions from History and Classroom Practice in Algebra -- IV. A Modeling Perspective on the Introduction of Algebra -- 15. Mathematical Narratives, Modeling, and Algebra -- 16. Reflections on Mathematical Modeling and the Redefinition of Algebraic Thinking -- 17. Modeling and the Initiation into Algebra -- V. A Functional Perspective on the Introduction of Algebra -- 18. A Technology-Intensive Functional Approach to the Emergence of Algebraic Thinking -- 19. Introducing Algebra by Means of a Technology-Supported, Functional Approach -- 20. A Functional Approach to Algebra: Two Issues that Emerge -- VI. Synthesis and Directions for Future Research -- 21. Backwards and Forwards: Reflections on Different Approaches to Algebra -- References -- Author Affiliations. |
| Record Nr. | UNINA-9910789204003321 |
| Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Approaches to algebra : perspectives for research and teaching / / edited by N. Bednarz, C. Kieran, L. Lee
| Approaches to algebra : perspectives for research and teaching / / edited by N. Bednarz, C. Kieran, L. Lee |
| Edizione | [1st ed. 1996.] |
| Pubbl/distr/stampa | Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1996 |
| Descrizione fisica | 1 online resource (xv, 348 pages) |
| Disciplina | 370 |
| Collana | Mathematics Education Library |
| Soggetto topico | Mathematics - Study and teaching |
| ISBN | 94-009-1732-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Approaches to Algebra: Perspectives for Research and Teaching -- I. Historical Perspectives in the Development of Algebra -- 2. From Euclid to Descartes: Algebra and its Relation to Geometry -- 3. The Roles of Geometry and Arithmetic in the Development of Algebra: Historical Remarks from a Didactic Perspective -- 4. The Role of Problems and Problem Solving in the Development of Algebra -- II. A Generalization Perspective on the Introduction of Algebra -- 5. Expressing Generality and Roots of Algebra -- 6. An Initiation into Algebraic Culture through Generalization Activities -- 7. Some Reflections on Teaching Algebra through Generalization -- III. A Problem-Solving Perspective on the Introduction of Algebra -- 8. Emergence and Development of Algebra as a Problem-Solving Tool: Continuities and Discontinuities with Arithmetic -- 9. Developing Algebraic Aspects of Problem Solving within a Spreadsheet Environment -- 10. Rough or Smooth? The Transition from Arithmetic to Algebra in Problem Solving -- 11. Algebraic thought and the Role of a Manipulable Symbolic Language -- 12. Placement and Function of Problems in Algebraic Treatises from Diophantus to Viète -- 13. Problem-Solving Approaches to Algebra: Two Aspects -- 14. “When is a Problem?”: Questions from History and Classroom Practice in Algebra -- IV. A Modeling Perspective on the Introduction of Algebra -- 15. Mathematical Narratives, Modeling, and Algebra -- 16. Reflections on Mathematical Modeling and the Redefinition of Algebraic Thinking -- 17. Modeling and the Initiation into Algebra -- V. A Functional Perspective on the Introduction of Algebra -- 18. A Technology-Intensive Functional Approach to the Emergence of Algebraic Thinking -- 19. Introducing Algebra by Means of a Technology-Supported, Functional Approach -- 20. A Functional Approach to Algebra: Two Issues that Emerge -- VI. Synthesis and Directions for Future Research -- 21. Backwards and Forwards: Reflections on Different Approaches to Algebra -- References -- Author Affiliations. |
| Record Nr. | UNINA-9910828274503321 |
| Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||