An in-depth exploration of teaching systematic approaches for solving math word problems and developing written communication skills to describe solution processes. Teachers will learn a wide range of strategies to develop students’ skills in the math problem-solving tasks of:
- comprehending the problem and identifying relevant data
- analyzing the problem’s internal structure to determine what type of problem it is
- selecting a viable solution process and carrying it out
- explaining the solution process both orally and in writing.
Course Objectives: Participants will
- explore a wide range of instructional strategies for math problem solving and math communication
- learn to create exciting math lessons that are challenging and achievable for all your students
- find a focus on strategies that can be applied across all grade levels in mathematics
- learn practical ideas and instructional strategies that they can immediately use with their students
look at teaching strategies that can help students accomplish the four main tasks of problem solving:
- understanding the problem and what it is asking
- analyzing the problem to determine its structure
- choosing a solution process and carrying it out correctly
- explaining that process, both orally and in writing
This online course is experiential and interactive. Participants will engage in a variety of activities to learn, practice, and apply the skills outlined in the course. This will include workbook exercises, short answers that are reviewed by a moderator, quizzes, observation and analysis of lessons, coaching interactions with a coaching partner that include feedback and analysis of both the lesson and the coaching episode. A final exam is also a part of the course. Participation in all of these areas is necessary for students to successfully complete the course with a passing grade.
Upon completion of the course, students can decide if they would like to receive credit and from which university they would like to receive credit. Please see University Affiliations under the Information Center for the cost per credit.
- 1.a Introduction
- 1.b What Do Emotions Have to Do With It?
- 1.c What Can Go Wrong in Problem Solving?
- 2.a Now a Word From the Experts
- 2.b Classroom Strategies For Improving Math Problem Solving
- 3.a How to Read a Math Word Problem – And Understand It
- 3.b Looking for Deep Structures
- 4.a What Do Successful Problem Solvers Do?
- 4.b Using Polya’s Steps in Your Own Teaching
- 4.c A Menu of Problem Solving Strategies
- 5.a Teaching Specific Strategies
- 5.b Using Multiple Strategies
- 5.c How Did Middle School Students Solve It?
- 6.a Questions That Make Students Think
- 6.b Have I Ever Seen This Problem Before?
- 7.a Communication in Mathematics
- 7.b Math Journals
- 7.c But I’m Not An English Teacher
- 8.a Implementing Student Self Assessment
- 8.b How to Know When Students Are Improving Conclusion
- Post Survey
- Final Exam