Project Origami: Activities for Exploring Mathematics, Second Edition

Couverture
CRC Press, 21 déc. 2012 - 364 pages

Project Origami: Activities for Exploring Mathematics, Second Edition presents a flexible, discovery-based approach to learning origami-math topics. It helps readers see how origami intersects a variety of mathematical topics, from the more obvious realm of geometry to the fields of algebra, number theory, and combinatorics. With over 100 new pages, this updated and expanded edition now includes 30 activities and offers better solutions and teaching tips for all activities.

The book contains detailed plans for 30 hands-on, scalable origami activities. Each activity lists courses in which the activity might fit, includes handouts for classroom use, and provides notes for instructors on solutions, how the handouts can be used, and other pedagogical suggestions. The handouts are also available on the book’s CRC Press web page.

Reflecting feedback from teachers and students who have used the book, this classroom-tested text provides an easy and entertaining way for teachers to incorporate origami into a range of college and advanced high school math courses.

Visit the author’s website for more information.

 

Table des matières

Folding Equilateral Triangles in a Square
1
Origami Trigonometry
15
Dividing a Length into Equal Nths Fujimoto Approximation
23
Dividing a Length into Equal Nths Exactly
35
Origami Helix
41
Folding a Parabola
49
Can Origami Trisect an Angle?
63
Solving Cubic Equations
69
Making Origami Tori
189
Modular Menger Sponge
201
Folding and Coloring a Crane
209
Exploring Flat Vertex Folds
215
Impossible Crease Patterns
231
Folding a Square Twist
239
Counting Flat Folds
247
SelfSimilar Wave
255

Lills Method
83
Folding Strips into Knots
95
Hagas Origamics
103
Modular Star Ring
121
Folding a Butterfly Bomb
129
Mollys Hexahedron
139
Business Card Modulars
153
Five Intersecting Tetrahedra
161
Making Origami Buckyballs
175
Matrix Model of Flat Vertex Folds
265
Matrix Model of 3D Vertex Folds
273
Origami and Homomorphisms
283
Rigid Folds 1 Gaussian Curvature
301
Rigid Folds 2 Spherical Trigonometry
321
Which Activities Go with Which Courses?
329
Bibliography
333
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