## Table of Contents

**Section 1: Teaching Mathematics: Foundations and Perspectives **

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Chapter 1 Teaching Mathematics in the 21^{st} Century

Chapter 2 Exploring What it Means to Know and Do Mathematics

Chapter 3 Teaching through Problem Solving

Chapter 4 Planning in the Problem-Based Classroom

Chapter 5 Building Assessment into Instruction

Chapter 6 Teaching Mathematics Equitably to All Children

Chapter 7 Using Technological Tools to Teach Mathematics

**Section 2: Development of Mathematical Concepts and Procedures **

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Chapter 8 Developing Early Number Concepts and Number Sense

Chapter 9 Developing Meanings for the Operations

Chapter 10 Helping Students Master the Basic Facts

Chapter 11 Developing Whole-Number Place-Value Concepts

Chapter 12 Developing Strategies for Addition and Subtraction Computation

Chapter 13 Developing Strategies for Multiplication and Division Computation

Chapter 14 Algebraic Thinking: Generalizations, Patterns, and Functions

Chapter 15 Developing Fraction Concepts

Chapter 16 Developing Strategies for Fraction Computation

Chapter 17 Developing Concepts of Decimals and Percents

Chapter 18 Proportional Reasoning

Chapter 19 Developing Measurement Concepts

Chapter 20 Geometric Thinking and Geometric Concepts

Chapter 21 Developing Concepts of Data Analysis

Chapter 22 Exploring Concepts of Probability

Chapter 23 Developing Concepts of Exponents, Integers, and Real Numbers