Description 
xv, 173 pages : illustrations ; 27 cm 
Series 
Classroom resource materials 

Classroom resource materials (Unnumbered)


Classroom resource materials.

Contents 
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 copies12. Sequential frames 13. Geometric dissections14. Moving frames15. Iterative procedures16. Introducing colors17. Visualization by inclusion18. Ingenuity in 3D19. Using 3D models 20. Combining techniques Part II. Visualization in the classroom Part III. Hints and solutions to the challenges 
Summary 
The object of this book is to show how visualization techniques may be employed to produce pictures that have both mathematical and pedagogical interest. Mathematical drawings related to proofs have been produced since antiquity in China, Arabia, Greece and India but only in the last thirty years there has been a growing interest in socalled 'proofs without words.' In this book the authors show that behind most of the pictures 'proving' mathematical relations are some wellunderstood methods. The first part of the book consists of twenty short chapters, each one describing a method to visualize some mathematical idea (a proof, a concept, an operation,...) and several applications to concrete cases. Following this the book examines general pedagogical considerations concerning the development of visual thinking, practical approaches for making visualizations in the classroom and a discussion of the role that handson material play in this process 
Bibliography 
Includes bibliographical references (pages 161168) and index 
Subject 
Mathematics  Study and teaching  Audiovisual aids.


Visual education.

Author 
Nelsen, Roger B.


Mathematical Association of America.

LC no. 
2005937269 
ISBN 
0883857464 
