Part I. Personal Reflections On Investigation, Discovery, and Proof: 1. Discovery and dissection of a geometric gem Douglas R. Hofstadter |
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2. The role and function of proof in dynamic geometry: some personal reflections Michael de Villiers | |
3. Dynamic geometry renews interest in an old problem Dan Bennett | |
4. Dynamic geometry as a bridge from Euclidean geometry to analysis Albert A. Cuoco and E. Paul Goldenberg | |
Part II. Dynamic Geometry In The Classroom: 5. Dynamic visualization from middle school through College James Morrow |
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6. Geometer's sketchpad in the classroom Tim Garry | |
7. Students discovering geometry using dynamic geometry software Michael Keyton | |
8. Moving triangles | |
9. Experiences with geometer's sketchpad in the classroom Kathryn W. Boehm | |
10. Beyond elementary constructions: selected exercises Arnold Perham and Bernadette H. Perham | |
11. Interactive generation, manipulation, and application of loci Heinz Schumann | |
12. Calculus with dynamic geometry Catherine A. Gorini | |
13. Beginning geometry at college Tony Hampson | |
14. Identifying transformations by their orbits James M. Parks | |
15. Dynamic proofs that use similarities James King | |
16. Visualization of group theory concepts through dynamic geometry Doris Schattschneider | |
17. Using the geometer's sketchpad with preservice teachers Zhonghong Jian and Edwin McClintock | |
18. Fish in the pond: inquiry with dynamic geometry Fadia Harik | |
Part III. Dynamic Visualization In History, Perception, Optics and Aerodynamics: 19. Drawing logarithmic curves with geometer's sketchpad: a method inspired by historical sources David Dennis and Jere Confrey |
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20. Lost in the funhouse: an application of dynamic projective geometry Susan Addington and Stuart Levy | |
21. The use of dynamic geometry software in teaching and research in optometry and vision science Benjamin T. Backus | |
22. Creating airfoils from circles: the Joukowski transformation John Olive | |
Part IV. The Worlds Of Dynamic Geometry: Issues In Design And Use: 23. Drawing worlds: scripted exploration environments in the geometer's sketchpad R. Nicholas Jackiw |