Pat Herbst, Taro Fujita, Stefan Halverscheid, Michael Weiss

The Learning and Teaching of Geometry in Secondary Schools (eBook, PDF)

A Modeling Perspective

• Format: PDF

Produktbeschreibung

The Teaching and Learning of Geometry provides an initial consideration of these questions and a primer for teachers and young scholars to get involved in addressing them. Geometry has long been a mainstay of the secondary school curriculum internationally, charged with the responsibility of introducing students to the practices of theoretical mathematics. This book provides a pedagogical framework for the teaching and learning of geometry grounded in theory and research. It can support teacher preparation and professional development, and orient classroom research by teachers and development efforts directed to teachers.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 250
• Erscheinungstermin: 16. März 2017
• Englisch
• ISBN-13: 9781351973533
• Artikelnr.: 48786460

Autorenporträt

Pat Herbst is 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 Fujita is a lecturer in mathematics education at the University of Exeter, UK. Originally a mathematics teacher in Japan, Taro currently teaches the learning and teaching of mathematics in primary schools and higher mathematics, and he is also editorial assistant for the International Journal for Technology in Mathematics Education.

Stefan Halverscheid is Professor of Mathematics Education at the University of Göttingen, Germany. His background is in complex and differential geometry in the presence of symmetries and in research on the teaching and learning of mathematics. He has experience as a high school teacher, has lectured in Teacher Education at Münster, Oldenburg and Bremen Universities, and was Dean of Studies and Dean of the Faculty of Mathematics and Computer Science at Göttingen.

Michael Weiss is currently on the faculty of the Department of Mathematics at the University of Michigan, USA. His background is in mathematics education and pure mathematics, and he was formerly a high school mathematics teacher in the United States.

Inhaltsangabe

IMPACT-Series Foreword
Acknowledgments
Introduction
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 by Conception
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
References