Fostering Children's Mathematical Power: An Investigative Approach To K-8 Mathematics Instruction

Prologue - Understanding This Teaching Guide and the Role of Affect in the Teaching-Learning Process Fostering Mathematical Power - the Need for Purposeful, Inquiry-Based and Meaningful Instruction Processes of Mathematical Inquiry - Problem Solving, Reasoning and Communicating Fostering and Evaluating Meaningful Learning - Making Connections and Assessing Understanding Basic Mathematical Tools - Numbers and Numerals Introducing Arithmetic - Understanding the Whole-Number Operations and Mastering the Basic Number Combinations Understanding Base-Ten, Place-Value Skills - Reading, Writing and Arithmetic with Multidigit Numbers Thinking with Whole Numbers - Number Sense, Estimation and Mental Computation Exploring Numbers Further - Number Theory and Integers and Operations on Integers Working with "Parts of a Whole" and Other Meanings of Rational Numbers and Common Fractions Understanding Operations on Common Fractions Place-Value Representations of Fractional Parts - Decimal Fractions, Decimals and Operations on Decimals Comparing Quantities Fairly - Ratios, Proportions and Percent Making Sense of Information and Using it to Make Everyday Decisions - Statistics and Probability The Mathematics of Our Environment - Geometry and Spatial Sense Sizing Up Things - Measurement and Measurement Formulas The Transition from Arithmetic to Algebra - Prealgebra and Functions Reflections on Teaching - Organizing Instruction to Enhance Mathematical Power, Professional Development and Epilogue Appendices.