| Foreword | iv |
| Preface | v |
| 1 | The Future of Algebra in a Technological World | 1 |
| Activity 1 | The Effects of Monomial Terms on Polynomial Functions | 28 |
| Activity 2 | Oil and Water Don't Mix | 30 |
| 2 | Changes in Learning and Their Consequences for Teaching and Assessing | 32 |
| 3 | A Functions Approach to Algebra | 48 |
| Activity 3 | Window Moldings | 69 |
| Activity 4 | Pet Wards | 70 |
| Activity 5 | Fuel Bills | 71 |
| Activity 6 | Exploring Linearity | 73 |
| Activity 7 | Exploring the Graphs of Exponential Functions | 75 |
| Activity 8 | Exploring Rational-Function Graphs | 77 |
| Activity 9 | Circumference and Area | 78 |
| Activity 10 | Similarities and Differences in Properties of Different Families of Functions | 80 |
| Activity 11 | Applications of Polynomial Functions | 82 |
| 4 | Extending a Functions Approach | 84 |
| Activity 12 | Using Functions of Many Variables to Analyze Dietary Choices | 99 |
| Activity 13 | Refreshment-Stand Profits | 102 |
| Activity 14 | Exploring Function Orbits | 104 |
| 5 | Matrices | 105 |
| Activity 15 | Geometric Functions for Specific Tasks | 119 |
| Activity 16 | What Does F(S) = KS Do to the Area of the Unit Square S? | 120 |
| 6 | Symbolic Reasoning | 122 |
| Activity 17 | Equivalent Forms | 145 |
| Activity 18 | Equivalent Forms II | 146 |
| References | 148 |
| Appendix | Activity Solutions | 149 |
| Annotated List of Technology Resources | 166 |
