The Learning And Teaching Of Geometry In Secondary Schools: A Modeling Perspective by Pat HerbstThe Learning And Teaching Of Geometry In Secondary Schools: A Modeling Perspective by Pat Herbst

The Learning And Teaching Of Geometry In Secondary Schools: A Modeling Perspective

byPat Herbst, Taro Fujita, Stefan Halverscheid

Paperback | March 17, 2017

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IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of texts for teacher education which aims to advance the learning and teaching of mathematics by integrating mathematics content with the broader research and theoretical base of mathematics education.

The Learning and Teaching of Geometry in Secondary Schoolsreviews past and present research on the teaching and learning of geometry in secondary schools and proposes an approach for design research on secondary geometry instruction.

Areas covered include:

  • teaching and learning secondary geometry through history;
  • the representations of geometric figures;
  • students' cognition in geometry;
  •  teacher knowledge, practice and, beliefs;
  • teaching strategies, instructional improvement, and classroom interventions;
  • research designs and problems for secondary geometry.

Drawing on a team of international authors, this new text will be essential reading for experienced teachers of mathematics, graduate students, curriculum developers, researchers, and all those interested in exploring students' study of geometry in secondary schools.

Pat Herbstis Professor of Education and Mathematics at the University of Michigan, USA. Pat is a former high school mathematics teacher in Argentina and his research focuses on the nature of the mathematical work that students do in secondary classrooms and the work that teachers do to manage knowledge development.Taro Fujitais a lectu...
Title:The Learning And Teaching Of Geometry In Secondary Schools: A Modeling PerspectiveFormat:PaperbackDimensions:250 pages, 8.75 × 6.35 × 0.68 inPublished:March 17, 2017Publisher:Taylor and FrancisLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0415856914

ISBN - 13:9780415856911

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Table of Contents

IMPACT'Series Foreword



Chapter 1: The Discourse of Teaching and Learning Secondary Geometry through History

1.1. Introduction

1.2. Overview of This Chapter

1.3. The Development of Geometry up to the So-Called Foundational Crisis

1.4. The Shaping of Geometry Curricula in the Nineteenth and Twentieth Centuries

1.5. Recent Developments

1.6. Conclusion

Chapter 2: Geometric Figures and Their Representations

2.1. Introduction

2.2. Conceptions of Figure: What Ee Mean byConception

2.3. Initial Conceptions of Geometric Figures

2.4. The Geometric Diagram in the Literature

2.5. A Modeling Perspective in the Study of Figures

2.6. Conclusion

Chapter 3: Students' Thinking and Learning in Geometry

3.1. Introduction

3.2. Conceptions of Figure and Students' Cognition

3.3. Geometric Figures and Students' Learning as Progressive Change in Cognition

3.4. Enriching Semiotic Registers, Operations, and Control Structures with DGS

3.5. Theoretical Underpinnings for Learning Trajectories of Geometric Figures

3.6. Conclusion

Chapter 4: Teaching Practice and Teacher Knowledge in Geometry Instruction

4.1. Introduction

4.2. Teaching Practice in Geometry

4.3. Teacher Knowledge of Geometry

4.4. Studies of Preservice Teachers' Knowledge of Geometry

4.5. Another Look at Elementary and Middle Grades Teachers

4.6. Beliefs of Secondary Geometry Teachers

4.7. Conclusion

Chapter 5: Improving the Teaching and Learning of Geometry in Secondary School Classrooms

5.1. Introduction

5.2. Communication Tasks: A Contribution of the Theory of Didactical Situations to the Design of Interventions

5.3. Secondary Geometry in the Service of Modeling the Experience with Shape and Space

5.4. Communication Tasks in the Teaching and Learning of Geometry

5.5. Concluding this Chapter

Chapter 6: A Conclusion and a Beginning: Doing Research on The Teaching and Learning of Secondary Geometry

6.1. Introduction

6.2. Research questions

6.3. Conclusion