Full Description
"Demonstrates problem solving strategies with solutions and teaching notes and allows the teacher to create a collection of problems to fit a particular grade level."
—Janice L. Richardson, Associate Professor and Education Coordinator, Department of Mathematics
Elon University
Help students succeed as problem solvers in and out of the classroom!
Problem solving skills are critical to students' success in mathematics, but the techniques can't be caught; they must be taught. Based on the premise that educators must take a deliberate approach to the teaching of problem solving skills, this book helps teachers engage students in the process.
Problem Solving in Mathematics, Grades 3-6 stresses the importance of problem solving in mathematics and presents nine strategies that students can use to solve problems, such as working backwards, finding a pattern, making a drawing, or solving a simpler equivalent problem. Each chapter demonstrates how teachers can:
Apply the strategies to problems at different grade levels
Incorporate these strategies into a mathematics program
Understand how each strategy can be applied to real-life situations
Make each strategy an integral part of students' thinking processes
With helpful teaching notes, sample problems for students that fit into any mathematics curriculum, and step-by-step solutions to sample problems, this book is perfect for teachers who want their students to succeed in mathematics!
Contents
Acknowledgments
About the Authors
Preface
1. An Introduction to Problem Solving
2. Organizing Data
Applying the Organizing Data Strategy
Teaching Notes
Problems for Students
3. Intelligent Guessing and Testing
Applying the Intelligent Guessing and Testing Strategy
Teaching Notes
Problems for Students
4. Solving a Simpler Equivalent Problem
Applying the Solving a Simpler Equivalent Problem Strategy
Teaching Notes
Problems for Students
5. Acting It Out or Simulation
Applying the Acting It Out or Simulation Strategy
Teaching Notes
Problems for Students
6. Working Backwards
Applying the Working Backwards Strategy
Teaching Notes
Problems for Students
7. Finding a Pattern
Applying the Finding a Pattern Strategy
Teaching Notes
Problems for Students
8. Logical Reasoning
Applying the Logical Reasoning Strategy
Teaching Notes
Problems for Students
9. Making a Drawing
Applying the Making a Drawing Strategy
Teaching Notes
Problems for Students
10. Adopting a Different Point of View
Applying the Adopting a Different Point of View Strategy
Teaching Notes
Problems for Students
Readings on Problem Solving
