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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 | ||
| ||
International Approaches to Professional Development for Mathematics Teachers / edited by Nadine Bednarz, Dario Fiorentini, and Rongjin Huang
| International Approaches to Professional Development for Mathematics Teachers / edited by Nadine Bednarz, Dario Fiorentini, and Rongjin Huang |
| Pubbl/distr/stampa | Ottawa : , : University of Ottawa Press, , 2011 |
| Descrizione fisica | 1 online resource (281 p.) |
| Disciplina | 372.7023 |
| Altri autori (Persone) |
BednarzNadine
FiorentiniDario HuangRongjin (Associate professor) |
| Soggetto topico |
Professeurs de mathematiques - Formation
Mathematiques - Étude et enseignement Mathematics teachers - Training of Mathematics - Study and teaching |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-280-69150-6
9786613668448 0-7766-1957-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Part 5: Reforms, Curricular Change And Continuous Professional Development -- Factors affecting the Implementation of Reforms in Secondary School Mathematics. / Naomi Chissick -- Interrelations between Teacher Development and Curricular Change: A Research Program / Dario Fiorentini, Rosana G. S. Miskulin, Regina C. Grando and Adair M. Nacarato, Carmen L.B. Passos, Dione L. Carvalho -- Researching Effective Continuing Professional Development in Mathematics Education. / Els de Geest, Marie Joubert, Rosamund Sutherland, Jenni Back, Christine Hirst - Conclusion / Nadine Bednarz, Dario Fiorentini, Rongjin Huang.
Part 4: Different Experiences Supporting Professional Development In Mathematical Teaching -- In-service Teacher Education: A Collaborative Experience with Non-Specialist Teachers who Teach Mathematics / Nielce Meneguelo da Costa -- Formative Processes: Sharing Learning Experiences in Geometry / Adair Mendes Nacarato and Regina Celia Grando -- Collaborative Work and Professional Development of Mathematics Teachers: Analysis of a Brazilian Experience / Ana Cristina Ferreira, Maria Angela Miorim -- Assessing a Research/Professional Development Model in Patterns and Algebra / Ruth Beatty, Cathy Bruce -- Professional Development: Moving from Telling to Listening / Christine Suurtamm and Nancy Vezina -- Continuing Professional Education of Mathematics Teachers: Learning through Mathematics Investigation / Carmen Lucia Brancaglion Passos and Maiza Lamonato -- The Role of Self-Regulated Learning in Professional Development of Mathematics Elementary Teachers / Bracha Kramarski and Tali Revach -- Investigating and Writing in the Professional Development of Mathematics Teachers / Maria Teresa Menezes Freitas, Dario Fiorentini -- Introduction. Experiences Developed in Different Countries to support the Professional Development of Teachers for, in, and from Practice: Introduction to the Purpose of the Book / Nadine Bednarz, Dario Fiorentini, Rongjin Huang -- Part 1: Education Of Practicing Teachers In Mathematics - International Historical Development And Issues. Situating Mathematics Teacher Education in a Global Context / Barbara Jaworski -- Part 2: Professional Life Of Mathematics Teachers As Part Of Their Professional Development-In-Practice -- Professional Development of a Mathematics Teacher in the Role of a Subject Leader / Claudia Canha Nunes -- Mentoring as Professional Development: A Case from Secondary Level Mathematics / Ginger Rhodes, Patricia S. Wilson -- Facilitating Mathematics Teachers' Professional Development through Ranking and Promotion Practices in the Chinese Mainland / Yeping Li, Rongjin Huang, Jiansheng Bao, Yadong Fan -- Part 3: Construction Of Professional Mathematical Knowledge By Teachers --Secondary Teachers' Professional Development through the Exploration of School Mathematics / Jerome Proulx -- Dialogue among In-service Teachers in an Internet-based Mathematics Education Program / Mario Sanchez -- In-service Professional Development for Teachers of Pre-University Mathematics / Bernard Murphy -- |
| Record Nr. | UNINA-9910155522803321 |
| Ottawa : , : University of Ottawa Press, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||