Problem Solving and Basic Concepts
The course focuses on developing and enriching teachers’ toolkit of problem solving strategies through engaging participants in the process of inquiry while solving rich problems and tasks. The course emphasizes the importance of multiple solution methods and of various representations in organizing and displaying information in the areas of number sense and algebraic reasoning. It enhances and deepens participants’ mathematics content and pedagogical content knowledge in fundamental key mathematical ideas such as inverse operations, arithmetic vs. algebraic reasoning, algorithms for whole number computation, operations with integers, solving linear equations, meaning of rational numbers, operations with rational numbers, exponents and laws of exponents.
Suggested text: Crossing the River with Dogs: A Mathematical Adventure by Johnson and Herr