Explore Mathematics with Origami

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This artful and elegant collection of 40 origami projects brings mathematics to life through the geometry of folded paper.

You’ll explore properties of triangles, parallelograms, and rhombuses by folding them from squares. You’ll fold and arrange pentagons to form beautiful patterns that tile a floor. And you’ll construct the classic Tangram shapes, using them to create and solve puzzles.

Teachers, parents, origami enthusiasts, and mathematics learners of all ages will really enjoy these and other projects.

The Power of Origami
Daniel Scher’s experience as a mathematics educator and Marc Kirschenbaum’s expertise as an origami artist are perfectly combined to unleash the power of origami in learning mathematics. 

With this book learners will:

See mathematics
Make abstract concepts accessible by recasting them in visual terms.
Do mathematics
Engage, learn by performing experiments.
Understand mathematics
Make sense of what they notice and wonder as they investigate.

Scroll down for detailed contents 

Angles

Right Angle
Going Full Circle in 22.5 Degrees
Going Full Circle in 30 Degrees

Triangles

Isosceles Triangle
Properties of 45°-45°-90° Triangles
Properties of 30°-60°-90° Triangles
Setting a Triangle Straight

Quadrilaterals

Parallel Lines
Parallel Lines to a Parallelogram
The Masquerading Parallelogram
Random Quadrilateral to a Parallelogram
Rhombus with Diagonals
Special Quadrilateral to a Rhombus
Rotated Square
Random Rhombus to a Rectangle
Special Quadrilateral to a Square
Extra-Special Quadrilateral to a Square

Tilings

Triangular Hexagonal Tiling
Tiling with Pentagons (Method 1)
Tiling with Pentagons (Method 2)
Tiling with Pentagons (Method 3)

Area

Seeing Both Sides Equally
Triangle Area
A Parallelogram and its Area
Pythagorean Theorem
Pythagorean Theorem Dissection
Half a Square

Scaling and Symmetry

Scaled-Down Rectangle
More Scaled-Down Rectangles
Scaled-Down Squares
Isosceles Similar Triangle Raccoon
Reflective Owl
Symmetrical Puzzle

Matters of the Infinite

Folding in Half Exponentially
Geometric Series
Geometric Series Bug

Dissection Puzzles

Double Square Puzzle

Five Triangles Puzzle

Tangram Set

 

Other Topics

An Average Number Line
Universal Divider
Monty Hall Problem