Mathematizing ESOL III: Integrating Ratio Reasoning

Course Dates:

Registration for this course is closed. Contact us at to set up a session for your group or click on “register” to add your name to be notified of future sessions of this course.

This course is brought to you through a partnership between World Education and the Adult Numeracy Center at TERC. It was developed by the MA SABES PD Center for Mathematics and Adult Numeracy at TERC, with funding from the Massachusetts Department of Elementary and Secondary Education. This course is also offered for free to MA ABE practitioners through the SABES PD Center for Mathematics and Adult Numeracy.


Format: Facilitated

Course Fee: $341

Prerequisite: Description:

A headline reads, “Two out of three Americans owned a smartphone in 2015.” Does that mean two out of every group of three Americans? Is it possible to have a group of Americans who all own smartphones?  Adults encounter ratios and proportions all the time in news or media statistics, estimates of risk, shopping for the best deal, creating mixtures and recipes, and countless other daily activities. The ability to reason about these numerical relationships develops over a long period of time and through deliberate exploration of the mathematics involved. Language teachers can provide opportunities for students to encounter and expand their ability to reason with ratios in real life contexts.

Mathematizing ESOL III: Integrating Ratio Reasoning is a course for English language teachers who want to deepen their own conceptual understanding of ratios and proportions and to learn strategies for helping students build ratio reasoning skills. This course is for participants who have successfully completed Mathematizing ESOL I and Mathematizing ESOL II.

By the end of the course, participants will be able to:
- Identify contexts that involve ratios and proportions that would make sense in an ESOL classroom, and use in creating activities/lessons.
- Explain what a ratio is and is not, and whether ratio reasoning is appropriate in a situation.
- Connect different types of mathematical comparisons to language structures.
- Explore the different multiplicative relationships in a proportion.
- Use concrete strategies to help students reason about ratios.
- Identify different ways of expressing ratios and how these can be used to persuade.
- Differentiate activities with open-ended math questions for ESOL learners.

Course Instructor:

Sherry Lehane and Melissa Braaten

Estimated Completion Time: 3 hrs/week (18 hours total)

Completion Requirements:

Participants are required to complete lessons, activities, discussion board assignments, and the final project within the time frame outlined. Participants will be assessed on the extent to which they have done the following:

  • Participated in asynchronous discussions (40%)
  • Completed all activities (60%)

Participants who earn a total of 80% will successfully complete the course and earn a certificate of completion.

Certificate for Completion: Yes

Course Development:

This course was developed by the Adult Numeracy Center at TERC in partnership with World Education, Inc., with funding from the Massachusetts Department of Elementary and Secondary Education.

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