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| 作者简介：Claudi Alsina received his B.A. and Ph.D. in mathematics from the University of Barcelona. He did Post-doctoral studies at the University of Massachusetts, Amherst. Currently he is a Professor of mathematics at the Technical University of Catalonia. He participates in a a wide range of international activities, and has written several research papers and publications on mathematics and mathematics education. |
| Introduction; PartⅠ： 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 plan 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 PartⅡ： Visualization in the Classroom PartⅢ： Hints and Solutions to the Challenges References Index |
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