Geometry Turned On: Dynamic Software in Learning, Teaching and Research

Abstract

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.

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