Essential Applications of Technology in Mathematics

Introduction; 1. Introduction to graphics calculators: 1.1 Introduction to 'Arithmetic', 1.2 Graphing and the use of the ZOOM menu, 1.3 Introduction to Solve and Solver, 1.4 Introduction to lists; 2. Graphics calculators for the middle school: 2.1 Substitution, 2.2 Solving equations and simultaneous equations graphically, 2.3 Linear relations, 2.4 Some new relations, 2.5 Quadratic functions, 2.6 Tables of values, 2.7 Families of curves, 2.8 Probability and Counting, 2.9 Variation, 2.10 Univariate statistics; 3. Programming with a graphics calculator: 3.1 Introduction, 3.2 Getting started, 3.3 The PROGRAM menu, 3.4 Assignment statements, 3.5 Input and Output statements, 3.6 For( #$ creating an incrementing loop, 3.7 If statements and the TEST menu, 3.8 If ... Then ... Else ... End, 3.9 More output commands, 3.10 Use of lists, 3.11 Conditional loops, 3.12 Nested loops, 3.13 Branching, 3.14 Management of programs; 4. Graphics calculators for the senior school: 4.1 Sequences and series, 4.2 Transformations and two new functions, 4.3 Bivariate statistics, 4.4 Matrices, 4.5 Complex numbers, 4.6 Parametric equations to specify curves, 4.7 Vectors, 4.8 Differential calculus, 4.9 Integration, 4.10 Polynomials, 4.11 Using Solver with mechanics, 4.12 Probability distributions; 5. Microsoft Excel: 5.1 Introduction to Excel, 5.2 Use of formula, 5.3 Use of Fill Down, 5.4 Graphing, 5.5 Mathematical functions, 5.6 Logical functions, 5.7 Numerical solutions of equations, 5.8 Statistics, 5.9 Visual Basic; Appendix A; Appendix B; 6. Mathematica: 6.1 Introduction to Mathematica, 6.2 Arithmetic (numerical calculations), 6.3 Algebraic calculations, 6.4 Solving equations, 6.5 Numerical solutions of equations, 6.6 Functions, 6.7 Graphing, 6.8 Calculus; 7. Using a Computer Algebra Systems Calculator: 7.1 Introduction, 7.2 Using the algebra menu (F2), 7.3 Operations in the calculus menu (F3), 7.4 Defining functions , 7.5 Graphing functions, 7.6 Numeric solver, 7.7 Trigonometric functions, 7.8 Use of lists and matrices; 8. Cabri Geometry: 8.1 Getting started, 8.2 Drawing versus construction, 8.3 Macro construction, 8.4 Animation, 8.5 Parallel lines, 8.6 Pythagoras' theorem, 8.7 Angle sum in a triangle, 8.8 Angles in a circle, 8.9 The parabola and quadratic relations, 8.10 Trigonometric relations; 9. Geometer's Sketchpad: 9.1 Getting started, 9.2 Construction, 9.3 Scripts, 9.4 Animation#$ Trace and Locus, 9.5 Linear Relations, 9.6 Investigation of relations-fixed perimeter rectangles, 9.7 Enlargement using a slider; Answers to Chapters 1#$ 2 and 3.