Mini-course: The Mathematician's Plan: Promoting Thinking In Math

From KNILT

Follow this link back to the personal page for this mini-course: Andria Manolopoulos

Follow this link: Portfolio Page: Mathematician's Plan


Introduction

This course will focus on the implementation of the Mathematician's Plan. This plan will encourage exceptional work habits in young mathematicians in order to improve their ability to solve complex, contextual word problems. Learning math through context has given students the ability to ground their learning in the real world. Problem solving requires similar skills for reading comprehension as Krawec states. "These skills often require high-level thinking and a strategic approach" (Krawec, 2013). Through the Mathematician's Plan students learn to be more precise, flexible, and confident mathematicians by showing their thinking clearly. Some questions that will direct the design of this course:

  • What is the Mathematician's Plan?
  • How can it be taught to students?
  • Why is it helpful for students?
  • In what ways can it be used in the classroom?

Learning Outcomes

The purpose of this course is to assist educators in improving student work habits in mathematics. Learners will be able to:

  • Describe the Mathematician's Plan and its place in the classroom
  • List the purpose and benefits of the Mathematician's Plan
  • Use the Mathematician's Plan to diagnose faults in student work
  • Choose to promote the Mathematician's Plan in the classroom

Performance Objectives

  • Participants will describe the Mathematician's Plan by identifying all steps.
  • Participants will be able to create an example of how the Mathematician's Plan looks on paper for one word problem.
  • Participants will use the Mathematician's Plan to diagnose faults in student work by identifying a step in the Mathematician's plan that was not used.
  • Participants will create a lesson plan in which they create an exemplar, teach one step of the Mathematician's Plan, and anticipate student misconceptions in a problem set.

Mini-Course Units

This mini-course includes the following units. Click the title of a unit to go to its page.

Unit 1: What is the Mathematician's Plan?

  • Participants will identify the steps involved in the Mathematician's Plan.
  • Participants will understand the purpose and benefits of the Mathematician's Plan by understanding the theory behind it.
  • Participants will create an exemplar using the Mathematician's Plan.

Unit 2: How Can I Use the Mathematician's Plan in My Classroom?

  • Participants will analyze the student thinking behind each step of the Mathematician's Plan.
  • Participants will analyze student work in order to identify the area of the Mathematician's Plan in which the student struggled in.

Unit 3: Creating a Lesson Plan to Teach The Mathematician's Plan

  • Participants will use the lesson plan structure provided to create a lesson plan around one step of the Mathematician's plan.
  • Participants will analyze the student work after implementing the lesson plan to determine its success in teaching the chosen step of the Mathematician's Plan.
  • Participants will use student work to make plans for the continuation of the Mathematician's Plan in the classroom.

References and Resources

Krawec, J., Huang, J., Montague, M., Kressler, B., & de Alba, A. M. (2013). The Effects of Cognitive Strategy Instruction on Knowledge of Math Problem-Solving Processes of Middle School Students with Learning Disabilities. Learning Disability Quarterly, 36(2), 80–92.