Project Origami: Activities for Exploring Mathematics, Second Edition

ISBN-13: 9781466567917 / Angielski / Miękka / 2012 / 368 str.

Thomas Hull

Opis

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.

Spis treści

Introduction. Folding Equilateral Triangles in a Square. Origami Trigonometry. Dividing a Length into Equal Nths: Fujimoto Approximation. Dividing a Length into Equal Nths Exactly. Origami Helix. Folding a Parabola. Can Origami Trisect an Angle? Solving Cubic Equations. Lill’s Method. Folding Strips into Knots. Haga’s "Origamics." Modular Star Ring. Folding a Butterfly Bomb. Molly’s Hexahedron. Business Card Modulars. Five Intersecting Tetrahedra. Making Origami Buckyballs. Making Origami Tori. Modular Menger Sponge. Folding and Coloring a Crane. Exploring Flat Vertex Folds.Impossible Crease Patterns. Folding a Square Twist. Counting Flat Folds. Self-Similar Wave. Matrix Model of Flat Vertex Folds. Matrix Model of 3D Vertex Folds. Origami and Homomorphisms. Rigid Folds 1: Gaussian Curvature. Rigid Folds 2: Spherical Trigonometry. Appendix. Bibliography. Index.

O autorze

Thomas Hull