As a young student, I always thought of algebra as math with letters. As I got older and was introduced to algebraic concepts, I fell in love with the ideas that it brought me. As I began to develop my skills as an algebraic thinker, I was able to think critically, use processes, and work backwards to help solve problems.
Algebraic thinking consists of ideas and tools to help students navigate the world of algebra. Algebra consists of many processes that involve backwards thinking. Being able to think algebraically, can help students navigate to the end result of a problem.
When I think of algebraic thinking; equations, expressions, and functions come to mind. Whereas when I think about geometric thinking, more visual concepts (ex. shapes) come to mind. Algebra connects to processes that help formulate geometry, calculus, etc. Without algebra, most concepts would not exist nor would there be any point to exploring other topics.
I use algebraic thinking most when problem solving with my students. My students use algebraic thinking when problem solving in and out of the classroom. We are always solving problems, whether we realize it is an actual problem or not. Being able to build on prior knowledge, utilize processes, and learn from our mistakes, helps us develop our skills as algebraic thinkers.
