Sunday, September 12, 2004


Great Gift for
Maze Lovers
Available at
Bank Street Bookstore, Bdwy. and 112th Street under
Aaron Landesman, author
For next day delivery email



Spacemazes takes advantage of children’s natural desire to learn. While they explore the exciting new mazes, they acquire mathematical skills that will help them do well on aptitude tests and enable them to become better Doctors, Chemists or Engineers.

Examples of the 3 dimensional maze follow the reviews.

To go back to the NYC Math Tutor site click


Are you looking for ways to help your child with mathematics? Do you like a challenge that is engaging and fun? My grandchildren and I just completed the final maze in Spacemazes by Aaron and Peter Landesman. Our family played and worked together to solve many of the mazes in this excellent collection.

Spacemazes provided our family with opportunities to think of solutions, and to talk with one another about possibilities, in order to ultimately find our way “home” in each of the challenges in this wonderful collection of multidimensional mazes.

Solving the puzzles in Spacemazes helped us learn about coordinates, geometry, operations, positive and negative numbers, and other number systems in an informal way. The more mazes we tried, the better we became at thinking about and moving in three-dimensional space.

We learned to persist, to cooperate, and support one another’s ideas as we moved from simpler to more difficult mazes. We also created mazes of our own for others to solve. And, while I don’t recommend that you peek, Spacemazes also provides solutions.

Submitted by
Grace D. Coates
University of California at Berkeley


Spacemazes takes advantage of children’s natural desire to learn. While they explore the exciting new mazes, they acquire mathematical skills. Satisfied by every twist and turn, your child will learn how to move in 3 dimensional space.

Babies first learn how to crawl around the floor in 2 dimensions. As they explore, their curiosity leads them to venture toward the edge of a bed or sofa where they learn about the 3rd dimension(height). As babies grow into toddlers and young children, they learn to climb, jump, kick a soccer ball up into the air, or dive into a pool of deep water and gradually develop an intuition about moving in 3 dimensions. Spacemazes helps children learn useful skills that airplane pilots must know in order to fly, that submarine commanders and space captains must know in order to steer a ship in three dimensions, that doctors and biologists must know in order to understand the 3-dimensional pathways that chemicals travel in the body, and that visitors to New York City must know in order find their way through Grand Central Terminal, the Port Authority Bus Terminal or Macy’s six-story store.

Aaron is an ordinary child who loves mazes. Looking for new challenges, he and his Daddy, Peter, developed the 3 dimensional mazes shown in this book. While Aaron was playing with mazes, his Dad, a mathematics teacher, was helping his son learn math. You can recreate the same enjoyable experiences when you read this book with your child: mazes + math = fun.

In this book, one learns about 3-dimensional space as well as related elementary mathematical concepts such as 3-dimensional size, coordinates, negative numbers and base 2 arithmetic. Introducing these ideas to children, when in pre-school and the early elementary grades, will enable them to understand these concepts more fully when they are formally presented at a later stage in school. Mathematics is a language with a specialized vocabulary that should be introduced to children at as early an age as possible. One’s understanding of mathematical concepts grows over time through repeated exposure.

To order additional copies of Spacemazes, email the authors at

To go back to the NYC Math Tutor site click

Aaron and Peter

Table of Contents

Chapter 1 Introduction to Mazes 5
Chapter 2 Introduction to 3 Dimensional Mazes 9
Chapter 3 Mazes Without Helping Ladders 30
Chapter 4 The Size of a Maze 37
Chapter 5 4 by 4 by 3 Mazes 47
Chapter 6 Number Mazes 55
Chapter 7 6 by 4 by 3 Mazes 74
Chapter 8 Subtraction Number Mazes 95
Chapter 9 4 by 4 by 4 Mazes 105
Chapter 10 Negative Number Mazes 112
Chapter 11 6 by 4 by 4 Mazes 124
Chapter 12 Coordinates in 3 Dimensions 142
Chapter 13 8 by 4 by 5 Mazes 152
(Practicing coordinates)
Chapter 14 3 by 3 by 3 by 2 Mazes 158
(The only 4 dimensional maze in print)

To go back to the NYC Math Tutor site click