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Fractals, Graphics, and Mathematics Education illustrated edition [Pehme köide]

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  • Formaat: Paperback, 224 pages, kõrgus x laius x paksus: 276x219x17 mm, kaal: 645 g, 180 figures
  • Sari: Mathematical Association of America Notes 58
  • Ilmumisaeg: 20-Jun-2002
  • Kirjastus: Mathematical Association of America
  • ISBN-10: 0883851695
  • ISBN-13: 9780883851692
Teised raamatud teemal:
Fractals, Graphics, and Mathematics Education illustrated editionSuurem pilt
  • Formaat: Paperback, 224 pages, kõrgus x laius x paksus: 276x219x17 mm, kaal: 645 g, 180 figures
  • Sari: Mathematical Association of America Notes 58
  • Ilmumisaeg: 20-Jun-2002
  • Kirjastus: Mathematical Association of America
  • ISBN-10: 0883851695
  • ISBN-13: 9780883851692
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9780883851692.html
Märksõnad:
In 19 papers from a December 1997 conference at Yale University, teachers mostly of mathematics explain how they teach fractals, in order to help develop a set of common elements by which others may do the same without having to make it up all over each time. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Fractal Geometry is a recent edition to the collection of mathematical tools for describing nature, and is the first to focus on roughness. Fractal geometry also appears in art, music and literature, most often without being consciously included by the artist. Consequently, through this we may uncover connections between the arts and sciences, uncommon for students to see in maths and science classes. This book will appeal to teachers who have wanted to include fractals in their mathematics and science classes, to scientists familiar with fractal geometry who want to teach a course on fractals, and to anyone who thinks general scientific literacy is an issue important enough to warrant new approaches.

Teaching resources for use with courses on fractal geometry, lecturers and interested readers.
Part I. Introductory Essays:
1. Some reasons for the effectiveness of fractal geometry in mathematics education Benoit B. Mandelbrot and Michael Frame
2. Unsolved problems and still emerging concepts Benoit B. Mandelbrot
3. Fractals, graphics and mathematics education Benoit B. Mandelbrot
4. Mathematics and society in the twentieth century Benoit B. Mandelbrot
Part II. Classroom Experiences:
5. Teaching fractals and dynamical systems at the Hotchkiss school Melkana Brakalova and David Coughlin
6. Reflection on Wada basins: some fractals with a twist Dane Camp
7. Learning and teaching about fractals Donald M. Davis
8. The fractal geometry of the Mandelbrot set Robert L. Devaney
9. Fractals - energizing the mathematics classroom Viki Fegers and Mary Beth Johnson
10. Other chaos games Sandy Fillebrown
11. Creating and teaching undergraduate courses in fractal geometry: a personal experience Michel Lapidus
12. Exploring Fractal dimensions by experiment Ron Lewis
13. Fractal themes on all levels Kenneth G. Monks
14. Art and fractals: artistic explorations of natural self-similarity Brianna Murati and Michael Frame
15. Order and chaos, art and magic: a first college course in quantitative reasoning based on fractals and chaos David Peak and Michael Frame
16. A software driven undergraduate fractals course Douglas C. Ravenel
Part III. A Final Word:
17. The fractal ring from art to art through mathematics, finance and the sciences Benoit B. Mandelbrot
Part IV. Appendices:
18. Panorama of fractals and their uses. An alphabetic workbook-index Michael Frame and Benoit B. Mandelbrot
19. Reports of some field experiences.