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Mathematics for Elementary Teachers: A Conceptual Approach, 8/e
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Problem Solving
Mathematics for Elementary Teachers: A Conceptual Approach

Chapter Description

Section 1.1

Introduction to Problem Solving: Outlines Polya’s four-step process for solving problems and presents several problem solving strategies through worked examples.

Subsections: Making a Drawing; Guessing and Checking; Making a Table; Using a Model; Working Backward.

One-page Math Activity: The Peg Jumping Puzzle.

Interactive Applet: Tower Puzzle

Section 1.2

Patterns and Problem Solving: Introduces two more common problem solving strategies, presents number patterns including arithmetic, geometric, and patterns from nature, and discusses inductive reasoning.

Subsections: Patterns in Nature; Number Patterns; Inductive Reasoning; Problem-Solving Application.

One-page Math Activity: Pattern Block Sequences

Section 1.3

Problem Solving with Algebra: Provides conceptual foundations for algebra through the use of the balance beam model to illustrate equations and inequalities and their solutions.

Subsections: Variables and Equations; Solving Equations; Solving Inequalities; Using Algebra for Problem Solving; Problem Solving Application.

One-page Math Activity: Extending Tile Patterns