Table of Contents
Acknowledgments ix
Introduction 1
Movement 1 Variables and Motions 5
1 Numerical Symphonies 7
2 Art of Maneuver 27
Movement 2 Equations and Motions 55
3 Numerical Forensics 57
4 Converging Streams and Emerging Themes 83
5 The Rule of Dark Position 99
Movement 3 Motions in Education 123
6 The Grand Play 125
7 Algebraic Awareness 141
Movement 4 Motions in Life 165
8 Algebra Uncloaked 167
9 Algebraic Flights: Mechanism and Classification 212
Movement 5 Motions of the Imagination 249
10 Algebraic Flights: Indeterminacy and Curiosity 251
11 A Kaleidoscope of Ingredients 283
Movement 6 Motions of the Heart 315
12 Grand Confluences 317
Appendix 1 The Quadratic Formula and Parameters 335
Appendix 2 Five Word Problems 338
Appendix 3 Function Notation [y and f(x)] 341
Appendix 4 Exponential Functions of Different Bases
Appendix 5 Solving for y in the Equation 12x + 8y = 400 347
Glossary of Terms 349
Notes 355
Bibliography 369
Index 379
