Algebra
Algebra is a fundamental content strand in a world-class high school mathematics curriculum. In the last 50 years there have been several different conceptions of school algebra.
| Recent Historical Conceptions of School Algebra | |||
|---|---|---|---|
| Movement | Appox. Period | Algebra is (about): | Focus on: |
| Theory of Equations | 1950s | Solving Equations | techniques for solving equations |
| New MAth | 1960s | Structure (re: Abstract Algebra) | algebraic systems and properties |
| Back to Basics | 1970s | Generalized Arithmetic | algebraic expressions - simplify, expand, factor |
| Problem Solving | 1980s | Problem Solving | using algebra to model and solve problems |
| 1989 NCTM Standards-Based Reform | 1990s | Functions (re: Real Analysis) and Problem Solving | patterns of change, quantitative relationships |
| 2000 NCTM Standards-Based Reform | 2000s | Appropriate Balance of All of the Above | balanced approach |
A world-class mathematics curriculum must take a balanced approach to teaching the fundamental ideas of algebra. The essential topics listed and described below should be emphasized.
Technology should be used appropriately throughout the teaching and learning of algebra. This may include use of graphing calculators, spreadsheet software, resources on the Internet, and judicious use of computer algebra systems (CAS). Such technology should be used to, for example, highlight and apply graphic, numeric, and symbolic approaches to teaching, learning, and using algebra.
Essential Topics in Algebra:
- Understands and applies functions | Details | Example
- Understands and applies equations and inequalities | Details | Example
- Understands and applies algebraic expressions | Details | Example
- Understands and applies rate of change | Details | Example
- Understands and applies recursion and iteration | Details | Example