Building Powerful Proportional Reasoning: Ratios And Proportions

by Pam Harris


Subject: Mathematics

Grade Levels:

  • Elementary School
  • Middle School

Not Currently Available

Semesters Offered:

19 Professional Development Hours

Topics Covered:

  • instructional routines
  • problem strings
  • problem talks
  • number talks
  • ratios
  • ratio tables
  • sequence of tasks
  • proportional reasoning
  • inversely proportional
  • unit rates
  • non-unit rates
  • fractions

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In this workshop, participants learn what it means to reason proportionally and why this reasoning is so important in students'mathematical development.

As a participant in this workshop, you will:

  • Identify how the teaching of proportional reasoning has changed and why it matters
  • Engage in problem solving so we can parse out the thinking needed to solve proportional reasoning problems
  • Learn how to begin, by providing support for students who don't know their multiplication facts which helps students develop multiplicative reasoning and proportional reasoning at the same time
  • Learn actionable strategies while engaging in the instructional routine called Problem Strings to develop participants' proportional reasoning and build specific mathematical strategies
  • Extend the learning to more complicated contexts to strengthen students' reasoning
  • Study three lesson types to introduce, construct, and solidify proportional reasoning
  • Analyze expert teacher moves that will energize your classroom and keep students engaged in sense making

Participants will leave with actionable strategies to help students with gaps, support the development of increasingly sophisticated mathematical strategies, and challenge students to look for clever, efficient solutions.

Pam Harris

About the Instructor

Pam Harris

I’m Pam Harris and I empower teachers to be the teacher they want to be. I have been working with educators for over 20 years as a classroom teacher, university instructor, and teacher trainer, as well as writing books and creating resources for teachers. As a beginning teacher, I worked hard to make lessons understandable and interesting, but I didn’t realize how much I relied on rote memorization and repeating procedures until I immersed myself in math research. This fundamentally changed the way I do and teach mathematics so that students work toward making sense of math, develop deep conceptual understandings, and are no longer robots.