Mathematics for Elementary School Teachers

Preface. 1. Foundations for Learning Mathematics. Getting Started and Problem Solving. Process, Practice, and Content Standards. Questions to Summarize Big Ideas. Chapter 1 Summary. Chapter 1 Review Exercises. 2. Sets and Numeration. Sets. Numeration. Questions to Summarize Big Ideas. Chapter 2 Summary. Chapter 2 Review Exercises. 3. The Four Fundamental Operations of Arithmetic. Understanding Addition. Understanding Subtraction. Understanding Multiplication. Understanding Division. Questions to Summarize Big Ideas. Chapter 3 Summary. Chapter 3 Review Exercises. 4. Extending the Number System. Integers. Fractions and Rational Numbers. Understanding Operations with Fractions. Beyond Integers and Fractions. Questions to Summarize Big Ideas. Chapter 4 Summary. Chapter 4 Review Exercises. 5. Proportional Reasoning. Ratio and Proportion. Percents. Questions to Summarize Big Ideas. Chapter 5 Summary. Chapter 5 Review Exercises. 6. Algebraic Thinking. Understanding Patterns, Relations, and Functions. Represent and Analyze Math Situations and Structures Using Algebraic Symbols. Mathematical Models. Analyzing Change. Questions to Summarize Big Ideas. Chapter 6 Summary. Chapter 6 Review Exercises. 7. Uncertainty: Data and Chance. The Process of Collecting and Analyzing Data. Going Beyond the Basics. Concepts Related to Chance. Counting and Chance. Questions to Summarize Big Ideas. Chapter 7 Summary. Chapter 7 Review Exercises. 8. Geometry as Shape. Basic Ideas and Building Blocks. Two-Dimensional Figures. Three-Dimensional Figures. Questions to Summarize Big Ideas. Chapter 8 Summary. Chapter 8 Review Exercises. 9. Geometry as Measurement. Systems of Measurement. Perimeter and Area. Surface Area and Volume. Looking Back on Chapter 9. Chapter 9 Summary. Chapter 9 Review Exercises. 10. Geometry as Transforming Shapes. Congruence Transformations. Symmetry and Tessellations. Similarity. Questions to Summarize Big Ideas. Chapter 10 Summary. Chapter 10 Review Exercises. Appendix A: Selected Answers. Appendix B: Answers to Questions in Text. Endnotes. Photo Credits. Index.