Teaching and Learning Geometry: Issues And Methods In Mathematical Education

Doug French

Continuum | 2005 | 169 páginas | rar - PDF | 8 Mb

link
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lib.freescienceengineering.org

Descrição: This fascinating title reviews the teaching and learning of school geometry from the perspective of both the new teacher and the more experienced teacher. It is designed to extend and deepen subject knowledge and to offer practical advice and ideas for the classroom in the context of current practice and research. Particular emphasis is given to the following elements: Understanding the key ideas of the geometry curriculum. Learning geometry effectively: lessons from research and current practice. Misconceptions and errors. Geometry reasoning: problem solving and proving. The role of technology in learning geometry.

Contents
Preface vi
1. The Role of Geometry 1
2. Learning Geometry 12
3. Beginnings: Experimental Geometry 30
4. Polygons: Symmetry and Angle Properties 40
5. Constructions and Congruence 55
6. Perimeter, Area and Volume 65
7. Enlargement and Similarity 77
8. The Theorem of Pythagoras 91
9. The Circle 104
10. Linking Geometry and Algebra 119
11. Polyhedra 136
12. Vector Geometry 149
Bibliography 162

Index