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The teaching of algebra in most of today’s classrooms is not significantly different from what it was 50 years ago. Certainly, there have been some attempts to change algebra instruction, such as the "new math" reform movement of the 1960s. But the changes that persist in today’s algebra curricula, as a result of that movement, are more superficial than substantial.On the other hand, mathematics and its applications have changed spectacularly in the past 50 years. The advent of technology, for example, in both applied and pure mathematics, has changed the way mathematicians, scientists, and social scientists do and use mathematics.It is high time for the classroom instruction of algebra to reflect some of these changes. This is why, in some exciting, interactive, hands-on algebra classes, we are beginning to see changes in what, how, and in what order mathematics is being taught.

Course Lecture Titles:
1. An Overview
2. The Evolution of Numbers
3. The Language of Algebra
4. Exploring Functions with the Aid of Graphing Calculators
5. Linear Functions—Introductory Explorations
6. Multiple Representations of Linear Functions
7. The Geometry of Linear Function Graphs
8. Words, Equations, Numbers, and Graphs
9. Problem Solving with Linear Equations
10. Modeling Real-World Data with Linear Functions
11. Linear Functions and Geometry
12. Quadratic Functions—Introductory Explorations I
13. Quadratic Functions—Introductory Explorations II
14. The Geometry of Quadratic Function Graphs
15. Words, Equations, Numbers, and Graphs
16. Problem Solving with Quadratic Equations
17. Modeling Real-World Data with Quadratic Functions
18. Polynomial Explorations (Degree Greater than Two)
19. Rational Functions—Introductory Explorations
20. The Geometry of Rational Function Graphs
21. Working with Rational Functions and Equations
22. Exponential Functions—Introductory Explorations
23. The Geometry of Exponential Function Graphs
24. Working with Exponential Functions and Equations
25. Systems of Linear Functions and Equations
26. Using Matrices to Solve Linear Systems
27. Systems of Functions and Equations
28. Systems of Inequalities
29. Iterating Functions—Looking at Functions Recursively
30. Using Iteration as a Problem Solving Tool

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Saturday, 5 November 2011

High School Level - Algebra I

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