What is algebraic reasoning?

Algebraic reasoning is the process of using mathematical equations, formulas, and principles to solve real-world problems or to prove mathematical theorems. It involves manipulating algebraic expressions, equations, and inequalities to find a solution, validate a conjecture or generalize a pattern. Algebraic reasoning develops children's ability to generalize and make predictions, and paves the way for higher-level math skills in calculus and beyond. In algebraic reasoning, the goal is to use logical, step-by-step processes to arrive at a correct solution and all the steps should be verifiable from the given premises and must be mathematically valid. Algebraic reasoning is widely used in different areas of science, statistics, engineering, and computer science.