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Mathematical modelling : a way of life /
Mathematical modelling is often spoken of as a way of life, referring to habits of mind and to dependence on the power of mathematics to describe, explain, predict and control real phenomena. This book aims to encourage teachers to provide opportunities for students to model a variety of real phenom...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor Corporativo: | |
| Otros Autores: | , , |
| Formato: | Electrónico Congresos, conferencias eBook |
| Idioma: | Inglés |
| Publicado: |
Chischester :
Horwood Pub.,
2003.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; ABOUT THE EDITORS; Mathematical Modelling: A Way of Life; Copyright Page; Table of Contents; ICTMA PUBLICATIONS; PREFACE; Section A: Modelling in the Elementary School; Chapter 1. Mathematical Modelling With Young Learners; INTRODUCTION; TRADITIONAL MATHEMATICAL MODELLING; MATHEMATICAL MODELLING FOR CHILDREN TODAY; GENERALIZABLE CONCEPTUAL SYSTEMS; APPLYING GENERALIZED CONCEPTUAL SYSTEMS; CONCLUDING POINTS; REFERENCES; APPENDIX A; APPENDIX B; APPENDIX C; Chapter 2. Modelling in Elementary School: Helping Young Students to See the World Mathematically; INTRODUCTION.
- APPROPRIATE GOALS FOR ELEMENTARY SCHOOL STUDENTSWHAT COGNITIVE RESEARCH TELLS US; PRACTICE THAT SUPPORTS MEANINGFUL LEARNING: THE CHEERS PROGRAM; REFERENCES; Section B: Modelling with Middle and Secondary Students; Chapter 3. How Mathematizing Reality is Different from Realizing Mathematics; INTRODUCTION; SUCCESS IN THE 21ST CENTURY; CASE STUDIES FOR KIDS; MODELING AND MODELS; STUDENT THINKING; REPRESENTATIONAL MEDIA; POWERFUL CONCEPTUAL TOOLS; STUDENT UNDERSTANDING; MONITORING AND ASSESSING; CONCLUSION; REFERENCES; Chapter 4. Environmental Problems and Mathematical Modelling; INTRODUCTION.
- AVERAGE GLOBALTEMPERATUREBLUEGILLS IN LAKE BIWA; CONCLUSION; REFERENCES; Chapter 5. Three Interacting Dimensions in the Development of Mathematical Knowledge; INTRODUCTION; ON COGNITION: WHAT DO WE KNOW ABOUT HOW STUDENTS LEARN MATHEMATICS?; MODEL DEVELOPMENT SEQUENCES; FINAL REMARKS; REFERENCES; Chapter 6. Working and Learning in the Real WorId: A Mathematics Education Project in Baden-Wuerttemberg; TlMSS AND THE BLK PROJECT; BASIC EXPERIENCES IN MATHEMATICS EDUCATION; WHAT HAS TO CHANGE?; TAKING CHILDREN SERIOUSLY; PRODUCTIVE PRACTICE; EXAMPLES FROM OUR PROJECT.
- ASSESSMENT: MEASURING GAIN IN COMPETENCEEXPERIENCES FROM THE PROJECT; SOME PERSISTENT PROBLEMS; CONCLUSION; REFERENCES; Chapter 7. Powerful Modelling Tools for High School Algebra Students; RATIONALE; TAKING STUDENTS FROM THERE TO HERE; DIFFERENCE EQUATIONS; SPREADSHEETS; SYSTEMS THINKING; CONCLUSION; REFERENCES; Section C: Post-Secondary Modelling; Chapter 8. Solving Problems: Perchance to Dream; INTRODUCTION; MAKING A HOME FOR CREATIVE INTELLIGENCE; A MODELING COURSE AT MARQUETTE; REFERENCES.
- Chapter 9. Formal Systems of Logic as Models for Building the Reasoning Skills of Upper Secondary School TeachersINTRODUCTION; OUR TEACHER TRAINING PROPOSAL; A TEACHING EXPERIMENT; RELATING THE PROPOSAL TO CLASSROOM PRACTICE; REFERENCES; Chapter 10. Learning Mathematics Using Dynamic Geometry Tools; INTRODUCTION; MATHEMATICAL MODELING; WALTER'S THEOREM; EXAM PROBLEM: TRIANGLES; REFERENCES; Chapter 11. Modelling Search Algorithms; A SEARCH PROBLEM; DIDACTICAL EXPERIENCES; PERSONAL REMARKS; Chapter 12. Mathematical Modelling in a Differential Geometry Course; INTRODUCTION; CURVES OF PURSUIT.