Math Made Visual: Creating Images for Understanding Mathematics - Rilegato

Alsina, Claudi; Nelsen, Roger B.

 
9780883857465: Math Made Visual: Creating Images for Understanding Mathematics

Sinossi

A book describing how visualization techniques can be used in understanding and teaching mathematics.

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Descrizione del libro

The object of this book is to show how visualization techniques may be employed to produce pictures that have interest for the creation, communication and teaching of mathematics. The authors describe methods to visualize mathematical ideas, with applications to concrete cases, and practical approaches for making visualizations in the classroom.

Contenuti

Introduction; Part I. Visualizing Mathematics by Creating Pictures: 1. Representing numbers by graphical elements; 2. Representing numbers by lengths of segments; 3. Representing numbers by areas of plane figures; 4. Representing numbers by volumes of bodies; 5. Identifying key elements; 6. Employing isometry; 7. Employing similarity; 8. Area preserving transformations; 9. Escaping from the plane; 10. Overlaying tiles; 11. Playing with several copies; 12. Sequential frames; 13. Geometric dissections; 14. Moving frames; 15. Iterative procedures; 16. Introducing colors; 17. Visualization by inclusion; 18. Ingenuity in 3D; 19. Using 3D models; 20. Combining techniques; Part II. Visualization in the Classroom; Part III. Hints and Solutions to the Challenges; References; Index.

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