Mathematics and science can be thought of as a search for patterns and structure. This 96-page book provides rich and diverse collections of pattern problems for students to explore, investigate, discover, and create. The five different types of pattern problems found in this book are:

Pattern Predictor
Equality Explorer
Sequence Sleuth
Number Ninja
Function Finder

There are optional hints and detailed solutions.

From a developmental perspective, the ability to recognize a pattern signals the transition from concrete to abstract thinking. So having students explore pattern problems helps sensitize them to the discovery process that provides a foundation for authentic learning and abstraction. These activities are independent and self-contained, but tend to build on one another and get gradually more sophisticated. This collection deliberately avoids use of variables, but involves reasoning that lays a genuine foundation for algebraic thinking and technique. Calculators are never needed, and their use is discouraged.

Parents and teachers should encourage students to pursue these pattern problems with a sense of adventure and perseverance. Although this book’s patterns appropriate for Grades 5-7, experiences with these activities may vary widely depending upon readiness for abstraction. There are many ways to solve and explain a pattern problem, and the solutions provided are not intended to be unique. In all situations, and at whatever pace and facility, the transition from concrete to abstract thinking is worthwhile.