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Rebecca Rapoport holds degrees in mathematics from Harvard University and Michigan State. From her first job out of college, as one of the pioneers of Harvard's Internet education offerings, she has been passionate about encouraging her love for math in others. As an early contributor to both retail giant Amazon.com and Akamai Technologies, the number one firm in cloud computing, Rapoport played a key role in several elements of the Internet revolution. She then returned to her first love, education, as an innovator of new methods to introduce children and adults to the critically important world of STEAM education as COO of an enrichment center dedicated to helping kids explore the creative side of science, technology, engineering, art, and math, and is currently developing and teaching innovative math curricula in the Boston area. Rapoport is also the co-author of Math Games Lab for Kids (published by Quarry Books), a book of fun, hands-on math activities designed to introduce elementary and middle-school students to several areas of higher math; and the calendars Mathematics: Your Daily Epsilon of Math 2021, Mathematics: Your Daily Epsilon of Math 2020, Mathematics 2019: Your Daily Epsilon of Math, and The Mathematics Calendar 2018, all published by Rock Point. She has an Erdös number of 2.
J.A. Yoder is an educator and engineer who has a lifetime love of puzzles and patterns. Her educational philosophy is that hands-on creative work is both the most fun and the most effective way to learn. She developed and taught the original hands-on-math lessons for an after-school program that eventually inspired this book. Some of her happiest memories come from "eureka moments"-either from learning something that makes a dozen other things suddenly make sense, or the sense of accomplishment that comes from solving a clever puzzle. The only thing better is sharing this joy with others.
Introduction How to Use This Book GEOMETRY: LEARN ABOUT SHAPES Prisms and pyramids and Platonic solids, oh my! Lab 1: Prisms Lab 2: Pyramids Lab 3: Antiprisms Lab 4: Platonic Solids Lab 5: Perfect Circles Lab 6: Try a Triangle Lab 7: Exact Ellipses Lab 8: Draw Giant Circles and Ellipses TOPOLOGY: MIND-BENDING SHAPES Learn about squeezable, squishable shapes and surfaces Lab 9: Compare and Classify Shapes Lab 10: Möbius Strips Lab 11: Möbius Surprise COLOR MAPS LIKE A MATHEMATICIAN Using the fewest number of colors possible, fill in a map so adjacent shapes are different Lab 12: Map Coloring Basics Lab 13: Efficient Map Coloring Lab 14: Squiggle Maps STITCHING CURVES Learn to create curves using only straight lines Lab 15: Drawing Parabolas Lab 16: Stitching Stars Lab 17: Creative Curves FANTASTIC FRACTALS A fractal is a shape that is similar to itself no matter how far you zoom in on one particular part Lab 18: Draw a Sierpinski Triangle Lab 19: Build a Sierpinski Triangle Lab 20: Draw a Koch Snowflake Lab 21: Draw a Square Fractal Snowflake Lab 22: Explore the Koch Snowflake's Perimeter TERRIFIC TANGRAMS Solve ancient Chinese puzzles by making different shapes from the same seven pieces Lab 23: Tangram Basics Lab 24: Teaser Tangrams Lab 25: Tougher Tangrams TOOTHPICK PUZZLES Create and solve brainteasers using patterns of toothpicks Lab 26: Starter Toothpick Puzzles Lab 27: Toothpick Puzzles: The Next Level GRAPH THEORY Explore how points and edges are interconnected Lab 28: Eulerian Circuits Lab 29: Secrets of Eulerian Circuits Revealed Lab 30: Bridges of Königsberg Lab 31: The Euler Characteristic Lab 32: A Proof About the Euler Characteristic Pull-Outs Hints and Solutions About the Authors Resources Index
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