Although there are subtle differences in the ways that algebra is defined in mathematics education
- According to Briahier, “Although there are subtle differences in the ways that algebra is defined in mathematics education, it is important to think of it as a language and a content area, rather than a course that one takes in secondary or middle school” (p. 340). What do you think he means by algebra as a language? What would that conception of algebra mean for teaching?
Sample Answer
Briahier’s statement that algebra should be thought of as a language and a content area, rather than just a course, is a powerful one. Thinking of algebra as a language implies that it’s not just a set of rules and procedures to memorize, but a way of thinking and communicating mathematical ideas. It’s a system of symbols and syntax that allows us to express relationships between quantities, generalize patterns, and solve problems.
Here’s a breakdown of what “algebra as a language” might mean:
- Symbols and Syntax: Just like any language, algebra has its own set of symbols (variables, constants, operators) and rules for how they can be combined (order of operations, properties of equality). Learning algebra is like learning the vocabulary and grammar of this language.