Pattern Explorer Level 2 (Grades 7-9) - Pattern Problems to Develop Mathematical Reasoning

Darin Beigie

ISBN 10: 1601447140 / ISBN 13: 9781601447142

Published by The Critical Thinking Co., 2016

About this Item

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Bibliographic Details

• Title: Pattern Explorer Level 2 (Grades 7-9) - Pattern Problems to Develop Mathematical Reasoning
• Publisher: The Critical Thinking Co.
• Publication Date: 2016
• Language: English
• ISBN 10: 1601447140
• ISBN 13: 9781601447142
• Binding: Paperback
• Condition: Good

About this title

Synopsis

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 are appropriate for Grades 7-9, 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.