Fostering Children's Mathematical Power

Arthur Baroody (University of Illinois at Urbana-Champaign, USA), Ronald T Coslick (Niskayuna Middle School, New York, retired).

• PREFACE Chapter 0 Prologue: Understanding This Teaching Guide and the Role of Affect in the Teaching-Learning Process 0-1 to 0-24 Chapter 1 Fostering Mathematical Power: The Need for Purposeful, Inquiry-Based, and Meaningful Instruction 1-1 to 1-38 Chapter 2 Processes of Mathematical Inquiry: Problem Solving, Reasoning, and Communicating 2-1 to 2-40 Chapter 3 Fostering and Evaluating Meaningful Learning: Making Connections and Assessing Understanding 3-1 to 3-40 Chapter 4 Basic Mathematical Tools: Numbers and Numerals 4-1 to 4-Chapter 5 Introducing Arithmetic: Understanding the Whole-Number Operations and Mastering the Basic Number Combinations Chapter 6 Understanding Base-Ten, Place-Value Skills: Reading, Writing, and Arithmetic with Multidigit Numbers 6-1 to 6-32 Chapter 7 Thinking with Whole Numbers: Number Sense, Estimation, and Mental Computation 7-1 to 7-34 Chapter 8 Exploring Numbers Further: Number Theory and Integers & Operations on Integers 8-1 to 8-34 Chapter 9 Working with Parts of a Whole and Other Meanings of Rational Numbers and Common Fractions 9-1 to 9-28 Chapter 10 Understanding Operations on Common Fractions 10-1 to 10-24 Chapter 11 Place-Value Representations of Fractional Parts: Decimal Fractions, Decimals, and Operations on Decimals 11-1 to 11-32 Chapter 12 Comparing Quantities Fairly: Ratios, Proportions, and Percent Chapter 13 Making Sense of Information and Using It to Make Everyday Decisions: Statistics and Probability 13-1 to 13-32 Chapter 14 The Mathematics of Our Environment: Geometry and Spatial Sense...14-1 to 14-28 Chapter 15 Sizing Up Things: Measurement and Measurement Formulas 15-1 to 15-30 Chapter 16 The Transition from Arithmetic to Algebra: Prealgebra and Functions 16-1 to 16-32 Prealgebra and Algebra Chapter 17 Reflections on Teaching: Organizing Instruction to Enhance Mathematical Power, Professional Development, and Epilogue