What is it?

As teachers introduce new mathematical objects into math discussions (tools, representations, symbols and vocabulary), teachers must think carefully about how to support students in using them with precision and how to create opportunities for students to make meaning and develop usage with understanding.  The Define and Clarify discussion structure can help students make sense of concepts in math class.  

When and Why is it used?

You may want to have a Define and Clarify  discussion:

• when students are engaged with a new mathematical tool

• when students are making connections between different types of representations

• when students are using a visual represenation they have used before, in a new way

Examples: Planning a Define and Clarify Discussion

Use the  Define and Clarify  template to think through the plan:

• Understand the goal you are working towards, what tool, representation or vocabulary you are introducing or using

• Choose a task or problem that will engage the students

• What moves will you make to support the students as they make meaning?

• What partial understandings may arise you will need to acknowledge?

Key Components of Define and Clarify Discussion

Explicit conversations about how and when to use these tools and concepts accurately are important components of making mathematical work accessible and meaningful to students.

Tools and Represenations are not just for younger grades.  Teachers must intentionally find ways to have students use tools, teaching them how they are used for proving ideas can be beneficial.  

This strategy comes from chapter 6 of the book Intentional Talk: How to Structure and Lead Productive Mathematical Discussions by Elham Kazemi & Allison Hintz