Geometry Turned on

Part I. Personal Reflections On Investigation, Discovery, and Proof: 1. Discovery and dissection of a geometric gem Douglas R. Hofstadter; 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; 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; 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; 24. Dynamic geometry and declarative geometric programming Richard J. Allen and Laurent Trilling.