Algebra for Elementary and Middle School Teachers 2th edition

Algebra for Elementary and Middle School Teachers Description

Algebra for Elementary and Middle School Teachers 2 Edition Preface......................................................................................................................... ix   UNIT 1: LEARNING ALGEBRA THROUGH PROBLEM SOLVING ............................................................ 1   Chapter 1: Introduction to Problem Solving ..................................................... 1 1.1. Silver Coins ....................................................................................... 8 1.2. Crossing the River............................................................................ 10 1.3. Cutting Through the Layers.............................................................. 12 1.4. Bossy the Cow................................................................................. 14 1.5. Painted Cubes .................................................................................. 15 1.6. Chickens .......................................................................................... 16 1.7. Staircases ......................................................................................... 18 1.8. Counting Handshakes....................................................................... 19 1.9. Variables.......................................................................................... 20 1.10. Additional Problems ........................................................................ 23 1.11. Pedagogical Explorations ................................................................ 25 1.12. Summary ......................................................................................... 28   Chapter 2: Solving Equations........................................................................... 30 2.1. Relational Thinking.......................................................................... 34 2.2. Using Relational Thinking to Solve Equations ................................. 36 2.3 Working Backwards to Solve Equations........................................... 37 2.4. Operating with the Unknown ........................................................... 39 2.5. Farmer Brown.................................................................................. 41 2.6. Additional Problems ........................................................................ 44 2.7. Pedagogical Explorations ................................................................ 46 2.8. Summary ......................................................................................... 47   UNIT 2: LEARNING ALGEBRA THROUGH PATTERNS AND SEQUENCES .......................................... 49   Chapter 3: Introduction to Patterns......................................................................................49 3.1. Four Repeating Patterns ................................................................... 52 3.2. Predicting with Patterns.................................................................... 54 3.3. Number Array.................................................................................. 57 3.4. Additional Problems......................................................................... 58 3.5. Pedagogical Explorations ................................................................. 59 3.6. Summary.......................................................................................... 60   Chapter 4: Growing Patterns ........................................................................... 62 4.1. Tile Patios........................................................................................ 66 4.2. Multiple Ways of Seeing ................................................................. 67 4.3. Rows and Columns .......................................................................... 69 4.4. Toothpick Patterns ........................................................................... 70 4.5. More Tile Patterns..............................