• Title: You Can Count on Monsters: The First 100 Numbers and Their Characters
  • Author: Richard Evan Schwartz
  • Released: 2010-01-23
  • Language: English
  • Pages: 244
  • ISBN: 1568815786
  • ISBN13: 978-1568815787
  • ASIN: 1568815786
From School Library Journal Grade 4–8—This hybrid math/art book is both ambitious and imaginative. An introductory section explains the colored-dot configurations and factor trees for numbers 1 to 100, which appear on the verso of each spread. These factor trees are "all the way grown out" to the lowest common factors, or prime numbers. On the opposite page is a monster scene that represents the number. Schwartz has created a creature for each prime number: "Each monster has something about it that relates to its number, but sometimes you have to look hard (and count) to find it." Thus, the monster for 5 is a five-featured, five-pointed star, and the 13 monster sports a pink-and-white eye-patch with 13 segments. The illustration for 14 is a "7" monster eating a "2" monster. The "78" picture includes monsters representing 2, 3, and 13, the prime factors of that number. The pages are glossy black with flat, colorful abstractions. The author's claim, "The only thing you really need to know in order to enjoy this book is how to multiply whole numbers together, like 2 and 3," is an understatement; readers will need patience and an open, undaunted mind to deconstruct the monster scenes. This is a book for math lovers who want to have some fun. Challenge these students to create their own prime monsters and combinations. While the dot configurations and factor trees are less inventive, they provide a more concrete explanation of the math for the rest of us.—Barbara Auerbach, PS 217, Brooklyn, New York
Copyright © Reed Business Information, a division of Reed Elsevier Inc. All rights reserved.

Review This delightful book is the result of the author's desire to teach his daughters about primes and factorization. Apart from an introduction and some explanatory material in the back, it consists of one hundred double pages: on the left page is a number and that many dots, arranged into clusters that display its factorization. On the right page is a picture that represents the same information using the author's 'monsters,' which represent the prime numbers. --MAA



This compact, innovative book counts to 100 using prime numbers represented as monsters, each with identifying characteristics (two resembles a bee with two buggy eyes, and three is an angry-looking triangular creature). The book opens with explanations of multiplication, prime and composite numbers, and factor trees, then moves on to a list of numbers. Each prime number looks unique, while composite numbers are represented by scenes involving their prime monsters (eight is illustrated as three of the beelike twos, i.e., two times two times two. Readers may have difficulty deciphering the pictures, which come to resemble little works of abstract geometric art. But especially for creative learners, visualizing the roles each monster plays may lead to deeper number sense. Ages 4 to 8. --Publishers Weekly

My eight-year old granddaughter Natalie is just learning about multiplication and as we read through almost the whole book, she especially liked the 'special numbers' (primes) where a new shape appeared. At one point she paused and said, 'You never get two special numbers one right after the other.' I gave positive reinforcement for this, her first mathematical conjecture (not mentioning the one counterexample of 2 and 3). She's going to take the book to her second grade class. Every school library should have one. --Thomas Banchoff, former MAA President

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