Thinking Mathematically : Integrating Arithmetic & Algebra in Elementary School

Foreword v Acknowledgments viii Introduction xi Developing Mathematical Thinking 1(8) Equality 9(18) Developing and Using Relational Thinking 27(20) Making Conjectures About Mathematics 47(18) Equations with Multiple Variables and Repeated Variables 65(14) Representing Conjectures Symbolically 79(6) Justification and Proof 85(20) Ordering Multiple Operations 105(18) ``If... then...'' Statements: Relations Involving Addition, Subtraction, Multiplication, Division, and Equality 123(10) Conclusion 133(6) Answers for Selected Challenges 139(6) Index 145