Book contents
- Frontmatter
- Introduction
- 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 Objects
- 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
- About the Authors
This chapter is part of a book that is no longer available to purchase from Cambridge Core
3 - Representing Numbers by Areas of Plane Figures
from Part I - Visualizing Mathematics by Creating Pictures
Book contents
- Frontmatter
- Introduction
- 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 Objects
- 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
- About the Authors
Summary
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- Information
- Math Made VisualCreating Images for Understanding Mathematics, pp. 13 - 18Publisher: Mathematical Association of AmericaPrint publication year: 2006