# Sonobe Origami Polyhedra – Links

### Using Origami to Teach Math

#### On-Line Lesson Plans

• Daniel Meyer and Jeanine Meyer have a beautiful and extensive web page on using origami to teach mathematics. They include theoretical discussion of educational uses of origami, general strategies for teaching origami and tying it to mathematics, and many origami folding instructions and lesson plans.
• Bill Wagner has a lesson plan that uses simple paper folding to develop concepts relating to fractions.
• Dave Love and Bill Haneberg created a lesson plan that brings geometry, origami, and geology together. They give instructions for creating paper tetrahedra from envelopes, geology themed templates, and assembly instructions for making a neat kaleidocycle. If you don't want to use a geology theme, you might let the students color their own kaleidocycle designs using the template shape.
• Barbara Pearl gives a simple origami whale lesson that involves basic mathematical vocabulary and some geometric thinking. This page also includes an address where you can write to receive a free copy of 101 Ways to Use Origami in the Classroom.

#### Ideas for Using Origami to Teach Mathematics

• Juergen Koeller has a web page with lots of fun math activities. One of these shows how to make an origami cube and then gives a mathematical discussion about the ratio of the side of the final cube to the length of the side of the original square. This is then compared with another way of getting a cube out of a square and with a theoretical limit. Developing this line of thinking could result in a nice math lesson.
• Eric M. Anderson has an extensive origami web page that includes a discussion on using origami to teach math. This page mentions many specific math concepts that come up in origami, and gives lots of leads for designing your own lesson plan or class project. He gives examples of mathematical origami questions in geometry, topology, and combinatorics. These questions do not require mathematical background, but they do require students who are tenacious problem solvers.
• Origami USA has some helpful tips for teaching origami.

#### Books and Other Resources for Teachers

• Tom Hull has written a wonderful book of mathematical origami lessons called Project Origami. Although the lessons are designed for college students, many of the activities work well for younger students as well.
• The AIMS Education Foundation has published Paper Square Geometry: The Mathematics of Origami. This book is primarily intended for high school students, but includes activities that younger students would also enjoy.
• David Mitchell has several books on using origami to teach math. Exploring Mathematical Ideas with Origami provides a reference for teaching problem solving, ratios, and geometry. It includes instructions for making beautiful origami tesselations and explores mathematical ideas in great depth. Paperfolding Puzzles features lots of neat hands-on brain teasers. Mathematical Origami shows how to construct a variety of origami polyhedra. This site also includes some free sample articles on mathematical origami that you can download.
• Betsy Franco's Unfolding Mathematics with Unit Origami is a book of lesson plans for algebra and geometry students in grades 7-11. This book includes discussions of algebraic and angle relationships, symmetry in 2 and 3 dimensions, and other concepts. It includes teaching strategies, suggestions for assessing student work, and possible extensions of the activities.
• Barbara Perl's program, Math in Motion: Origami in the Classroom K-8, offers workshops and books that use origami to make learning come to life. This program includes educational objectives in subject areas across the curriculum. Among the mathematical objectives are developing fundamental geometric ideas and spatial intuition; teaching mathematical vocabulary; learning about symmetry, congruence, and angles; practicing fractions, ratios, proportions, and measurement; and developing problem solving and critical thinking skills.
• The book Paper Folding: A Fun and Effective Method for Learning Math includes a curriculum appropriate for a wide range of ages. Math topics covered include geometry, conic sections, isometries, fractions, tessellations, tangram puzzles, and symmetries.
• A great deal of work has been done on the use of origami in education and therapy. Tom Hull has posted proceedings from a 1991 conference on this topic.
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This work placed into the public domain by the Riverbend Community Math Center.