The Adventures of Penrose the Mathematical Cat
by Theoni Pappas
Wide World Publishing | October 1997 | ISBN-10: 1884550142 | PDF | 132 pages | 95.2 mb

Penrose, a cat with a knack for math, takes children on an adventurous tour of mathematical concepts from fractals to infinity.
The storyline includes Penrose the mathematical cat who seems pretty lazy but often gets interested in her mistress' math papers, and thus ends up learning about this and that.
But this isn't a book about adding, fractions, ratios, algebra, or any other "regular" math topic. It is about fascinating and fun mathematical ideas you seldom encounter in school. Via Penrose, they are presented in an easy way for kids to understand.
Penrose learns the truth about infinityFor example, you get to encounter 0s and 1s (binary numbers), fractals, infinity, Mobious strip, Pascal triangle, golden rectangles, paperfolding, tessellations, abacus, magic squares, tangrams, nanoworld... For math geeks, these are familiar topics. They show some of the beautiful, fun, and intriguing aspects of math.
Each chapter spans about four pages, has a short storyline, and often a problem or challenge in the end. Answers are included in the end of the book. The mathematical content is suitable for about grades 3-9, but even younger kids can enjoy some of it.

About the Author 
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Theoni Pappas is committed to giving mathematics greater exposure and making it more approachable. Currently, Pappas is a mathematics educator and consultant. She received her B.A. from the University of California at Berkeley and her M.A. from Stanford University. She became a member of the National Council of Teachers of Mathematics (NCTM) in 1967, when she began teaching high school mathematics. Over the years, she has taught basic math, prealgebra, algebra, trigonometry, geometry, precalculus, and calculus. Her books include More Joy of Mathematics;The Joy of Mathematics; Mathematics Appreciation; Math Talk; Greek Cooking for Everyone; Fractals, Googols, and Other Mathematical Tales; Mathematical Footprints; The Magic of Mathematics; Math-A-Day; The Music of Reason; Mathematical Scandals; The Adventures of Penrose-the Mathematical Cat; and Math for Kids & Other People Too!

TABLE OF CONTENTS
xiii • Preface
2 • Penrose meets the Os and the 1s
4 • Penrose is captured by the numbers
8 • Penrose discovers mathematical stars
10 • Penrose discovers pancake world
12 • Penrose meets the fractal dragon
16 • Penrose discovers the mathematics of soup bubbles
20 • Penrose learns the truth about infinity
22 • Penrose meets Fibonacci rabbit
26 • Penrose watches the puzzling egg hatch
28 • The polyhedra connect with Penrose
32 • The golden rectangle dazzles Penrose
36 • A square becomes a bird right before Penrose's eyes
40 • Penrose meets Mr. Abacus
44 • Penrose discovers the mystery of the triangle of numbers
48 • Penrose meets the Tangramians
52 • Penrose solves the case of the missing square
55 • Penrose sees into the invisible nanoworld
58 • Penrose loves the games numbers play
62 • Penrose flips over the Mobius strip
66 • Penrose discovers mathematics in the forest
70 • Penrose meets Lo-shu
74 • Mauritus teaches Penrose a tessellation trick
78 • Penrose discovers Penrose
82 • Penrose tangles with the impossible figures
86 • Penrose learns more number antics
91 • solutions & answers
112 • about the author
 
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