From Toothpicks to Treetops

Forword by Dr. Mahesh Sharma Preface Introduction Chapter 1 - What Is Elementary and Middle School Mathematics? Mathematical Thought and Communication Mathematical Thought: Four Arenas Mathematical Communication: Three Stages Conclusion Selected Readings Student Activities Chapter 2 - Our Number System Identifying Types of Numbers in Our Number System Comparing Irrational Numbers in Our Number System: Counting vs. Quantity Combining Numbers in Our Number System: Place Value Separating Mathematical Thought from Mathematical Symbols Selected Readings Student Activities Chapter 3 - Whole Numbers Thoughts Identifying Whole Numbers Comparing Whole Numbers Combining Whole Numbers Separating Whole Numbers Introducing Integers Selected Readings Student Activities Chapter 4 - Fractional Thoughts An Overview of Expressing Fractions Identifying Fractions Comparing Fractions Selected Readings Chapter 5 - Communicating Fractional Thought Combining Fractions Separating Fractions Selected Readings Student Activities Chapter 6 - Spatial Geometry Thoughts Introducing Spatial Geometry van Hieles' Levels of Geometric Constructs Identifying Geometric Constructs Comparing Geometric Space Separating Space Selected Readings Student Activities Chapter 7 - Communicating Spatial Thoughts with Measurement Measuring Non-Dimensional Space Measuring One-Dimensional Space Measuring Two-Dimensional Space Measuring Three-Dimensional Space Measuring Time Measuring Temperature Measuring Weight Selected Readings Student Activities Chapter 8 - Solving Problems Reading and Understanding the Problem Making a Plan Solving the Problem Clarifying the Solution Using Graphic Organizers to Solve Problems Conclusion Selected Readings Student Activities Glossary Bibliography Index