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Project Origami 2nd Edition by Thomas Hull ISBN 1466568097 9781466568099

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Project Origami 2nd ed Edition Thomas Hull Digital Instant Download

Author(s): Thomas Hull
ISBN(s): 9781466568099, 1466568097
Edition: 2nd ed
File Details: PDF, 3.30 MB
Year: 2012
Language: english
SKU: EB-5144360 Category: Tag:

Project Origami 2nd Edition by Thomas Hull – Ebook PDF Instant Download/Delivery: 1466568097, 9781466568099
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Product details:

ISBN 10: 1466568097
ISBN 13: 9781466568099
Author: Thomas Hull

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.

Project Origami 2nd Table of contents:

Why did I write this book?
How to use this book
Discovery-based learning
Preparing yourself
Where to find paper
For PHiZZ units, Flat Vertex Fold, Haga’s Origamics, Matrix Model, Butterfly Bomb activities
Business cards
Strips of paper (for folding knots)
Actual origami paper
Other options (and the Five Intersecting Tetrahedra)
Other sources
Acknowledgments
Activity 1 Folding Equilateral Triangles in a Square
Summary
Content
Handouts
Time commitment
Solution and Pedagogy
Folding an equilateral triangle
Finding the maximal triangle
Follow-up activity
Activity 2 Origami Trigonometry
Summary
Content
Handouts
Time commitment
Solution and Pedagogy
Handout 1: Double-angle formulas
Handout 2: Trig functions of nonstandard triangles
Further explorations
Activity 3 Dividing a Length into Equal Nths: Fujimoto Approximation
Summary
Content
Handouts
Time commitment
Solution and Pedagogy
Why does Fujimoto work?
Handout 2: Binary decimals
Handout 2: Discrete dynamics
Handout 2: Number theory
Further studies
Activity 4 Dividing a Length into Equal Nths Exactly
Summary
Content
Handouts
Time commitment
Solution and Pedagogy
Question 1: Synthetic approach
Question 1: Analytic approach
Question 3
Pedagogy
Other methods
Activity 5 Origami Helix
Summary
Content
Handout
Time commitment
Solution and Pedagogy
First solution (harder)
Second solution (easier)
Further explorations
Activity 6 Folding a Parabola
Summary
Content
Handouts
Time commitment
Solution and Pedagogy
Handout 1
Pedagogy
Handout 2 (Solution and Pedagogy)
Final thoughts
Activity 7 Can Origami Trisect an Angle?
Summary
Content
Handout
Time commitment
Solution and Pedagogy
Handout: Angle trisection
Pedagogy
Follow-up
Activity 8 Solving Cubic Equations
Summary
Content
Handouts
Time commitment
Solution and Pedagogy
Handout 1: A more complicated fold
Handout 2: Simulating this curve with software
Handout 3: What kind of curve is it?
Pedagogy and follow-up
Activity 9 Lill’s Method
Summary
Content
Handouts
Time commitment
Solution and Pedagogy
Handout 1: Lill’s Method for solving cubics
Handouts 2 and 3: Lill’s Method in an origami example
Folding the example
Follow-up
Activity 10 Folding Strips into Knots
Summary
Content
Handout
Time commitment
Solution and Pedagogy
Question 1
Question 2
Question 3
Question 4
Background
Activity 11 Haga’s “Origamics”
Summary
Content
Handouts
Time commitment
Solution and Pedagogy
Handout 1: Folding TUPs
Handout 2: All Four Corners to a Point
Handout 3: Haga’s Theorem
Handout 4: Mother and Baby Lines
Activity 12 Modular Star Ring
Summary
Content
Handout
Time commitment
Solution and Pedagogy
Solution 1
Solution 2
Further exploration: Finding the radius
Final notes
Activity 13 Folding a Butterfly Bomb
Summary
Content
Handouts
Time commitment
“SOLUTION” AND PEDAGOGY
Emphasizing content
Variations
Activity 14 Molly’s Hexahedron
Summary
Content
Handouts
Time commitment
Solution and Pedagogy
Teaching the model
The solution
Interpreting the volume and dissections
More on pedagogy
Bonus problem: octahedron volume
Activity 15 Business Card Modulars
Summary
Content
Handouts
Time commitment
Solution and Pedagogy
Question 1
The Tasks
Pedagogy
On obtaining large supplies of business cards
Activity 16 Five Intersecting Tetrahedra
Summary
Content
Handouts
Time commitment
Comments, Solution, and Pedagogy
Comments
Solution to the optimal strut width problem
Pedagogy
Activity 17 Making Origami Buckyballs
Summary
Content
Handouts
Time commitment
Solution and Pedagogy
Handout 1: The PHiZZ Unit
Handout 2: Planar Graphs and Coloring
Handout 3: Making PHiZZ Buckyballs
Follow-up ideas
Activity 18 Making Origami Tori
Summary
Content
Handouts
Time commitment
Solution and Pedagogy
Handout 1: Bigger PHiZZ Unit Rings
Handout 2: Drawing Toroidal Graphs
Handout 3: Euler’s Formula on the Torus
Other projects
Activity 19 Modular Menger Sponge
Summary
Content
Handout
Time commitment
Solution and Pedagogy
Question 1
Question 2
Follow-up/senior project
Activity 20 Folding and Coloring a Crane
Summary
Content
Handout
Time commitment
Solution and Pedagogy
Teaching the fold
The activities
Why do we care?
Activity 21 Exploring Flat Vertex Folds
Summary
Content
Handouts
Time commitment
Solution and Pedagogy
Conjectures
Proofs of the conjectures
Pedagogy
Bad proofs
Follow-up things
Activity 22 Impossible Crease Patterns
Summary
Content
Handout
Time commitment
Solution and Pedagogy
Class tips
Further thoughts and investigations
Activity 23 Folding a Square Twist
Summary
Content
Handout
Time commitment
Solution and Pedagogy
Activity 24 Counting Flat Folds
Summary
Content
Handout
Time commitment
Solution and Pedagogy
Case v1
Case v2
Case v3
Question 1
Question 2
Further explorations
Activity 25 Self-Similar Wave
Summary
Content
Handout
Time commitment
Solution and Pedagogy
Geometric transformations solution
Complex numbers solution
Connection with fractals
Activity 26 Matrix Model of Flat Vertex Folds
Summary
Content
Handout
Time commitment
Solution and Pedagogy
Activity 27 Matrix Model of 3D Vertex Folds
Summary
Content
Handout
Time commitment
Solution and Pedagogy
Why does this happen?
Pedagogy
Activity 28 Origami and Homomorphisms
Summary
Content
Handouts
Time commitment
Solution and Pedagogy
Handout 1: Folding a square twist tessellation
Handout 2: The flat-folding homomorphism
Handout 3: Finding the symmetry group of origami
Activity 29 Rigid Folds 1: Gaussian Curvature
Summary
Content
Handouts
Time commitment
Solution and Pedagogy
Handout 1: An Introduction to Gaussian Curvature
Handout 2: Gaussian Curvature and Origami
Handout 3: The Miura Map Fold
Handout 4: The Hyperbolic Paraboloid
Credits and further problems
Activity 30 Rigid Folds 2: Spherical Trigonometry
Summary
Content
Handouts and time commitment
Solution and Pedagogy
Question 1
Question 2
Question 3
Question 4
Follow-up

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