The changing shape of geometry : celebrating a century of geometry and geometry teaching
Chris Pritchard
Abstract
Chris Pritchard
Abstract
Introduction 1. The nature of geometry 2. Desert island theorems - Greek geometry 3. The history of geometry 4. Desert island theorems - elementary Euclidean geometry 5. Pythagoras' theorem 6. Desert island theorems - advanced Euclidean geometry 7. The golden ratio 8. Desert island theorems - non-Euclidean geometry and topology 9. Recreational geometry 10. Desert island theorems - geometrical physics 11. The teaching of geometry Appendices.
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Introduction 1. The nature of geometry 2. Desert island theorems - Greek geometry 3. The history of geometry 4. Desert island theorems - elementary Euclidean geometry 5. Pythagoras' theorem 6. Desert island theorems - advanced Euclidean geometry 7. The golden ratio 8. Desert island theorems - non-Euclidean geometry and topology 9. Recreational geometry 10. Desert island theorems - geometrical physics 11. The teaching of geometry Appendices.
Key concepts: Geometry, Absolute geometry, Ordered geometry, Synthetic geometry, Non-Euclidean geometry, Euclidean geometry, Foundations of geometry, Spherical geometry