In the algebra module we aim to look at the logical and structural underpinnings of algebra. We study two examples: solving equations as a process of logical proof, and at the structure of algebraic expressions. My goal in each case is for you to think about how to get students in high school to look behind symbolic procedures and make explicit their hidden meaning.
The relation between solving equations and logical deduction. The reasoning behind the factoring approach to solving quadratic equations. Assignment 1 is due Wednesday, September 3.
Looking at the structure of algebraic expressions. Equivalent forms reveal different aspects of the same calculation. Writing problems that make students think about the structure of algebraic expressions.
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