Module Overview

This module is all about defining and developing a deeper understanding of problem solving. Here you will develop your foundational understanding of what defines a mathematics problem versus what is a mathematics exercise based on the need for a solution, solution strategies, cognitive strategies applied, and so forth. Then you will be able to examine your teaching materials to determine if you provide adequate opportunities for students to engage in problem-solving and make decisions on the need to seek alternate source materials for problems.

We will build off of that foundational understanding in as we start looking at the different approaches to teaching problem solving. Here we will look at the differences in teaching about, for, and through problem solving. Then, we will round out the module by starting to look at the barriers that we may face when helping students develop their problem solving habits of mind.

At the conclusion of the module you will reflect back on your changes to knowledge, understanding, and practice taking place as a result of completing this course.

Learning Objectives

Upon completion of this module, teachers will be able to:

• define and describe a mathematics problem.

• distinguish between a mathematics problem and a mathematics exercise.

• describe three types of instruction that relate to problem-solving.

• identify common barriers to supporting students in developing their problem-solving habits and skills.

• explain the effect that race and culture have had on students’ mathematics learning experiences.

• create inclusive problem solving opportunities that support success for students with disabilities.

• explain how language and words can create a barrier to equitable student access to learning for, about, and through problem solving.

Impact on Classroom Practice and Student Learning

At the end of this module, participants will be able to:

• Align instruction to a purposeful approach to teaching problem solving; and

• Address common problem-solving barriers that may arise in the classroom when supporting students in developing their problem-solving habits and skills.