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Geometry Turned On: Dynamic Software in Learning, Teaching, and Research [Pehme köide]

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  • Formaat: Paperback, 220 pages, kõrgus x laius x paksus: 228x152x13 mm, kaal: 520 g, illustrations
  • Sari: Mathematical Association of America Notes 41
  • Ilmumisaeg: 30-Oct-1997
  • Kirjastus: Mathematical Association of America
  • ISBN-10: 0883850990
  • ISBN-13: 9780883850992
Teised raamatud teemal:
  • Formaat: Paperback, 220 pages, kõrgus x laius x paksus: 228x152x13 mm, kaal: 520 g, illustrations
  • Sari: Mathematical Association of America Notes 41
  • Ilmumisaeg: 30-Oct-1997
  • Kirjastus: Mathematical Association of America
  • ISBN-10: 0883850990
  • ISBN-13: 9780883850992
Teised raamatud teemal:
Shows how to use dynamic geometry (exploratory geometry carried out with interactive computer software) in the study and teaching of geometry, for use in teacher preparation courses, courses on the use of computers in teaching, and courses that focus on the use of software in doing experimental mathematics for construction and design. Topics include the role of proof in computer-based geometry, dynamic visualization in calculus, and software such as Geometer's Sketchpad and Cabri Geometry. Some of the dynamic sketches referred to in the book are available on a Web page. Includes contacts for software vendors. No index. Annotation c. by Book News, Inc., Portland, Or.

Articles about the uses of active, exploratory geometry carried out with interactive computer software.

This volume is a collection of articles about dynamic geometry: active, exploratory geometry carried out with interactive computer software. This software has had a profound effect on classroom teaching wherever it has been introduced. Unconstrained parts of the configurations are moveable - they can literally be grabbed with a cursor (using a mouse) and be dragged or stretched - and as they move, all other objects in the configuration automatically self-adjust, preserving all dependent relationships and constraints. The software has also become an indispensable research tool for mathematicians and scientists. This book gives many examples of the ways in which it can be used, and some of the effects it can have. It raises various questions for teaching and research. Some articles address the basic question, 'What is dynamic geometry good for?' as they discuss: accuracy of construction, visualization, exploration and discovery, motivating proof, transformations, tracing loci, simulation, and creating microworlds.
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