What We Say Matters, Part 3: The Subtle Messages of Math Talk

In Part 1 of this series, The Language of Expectations, we explored how everyday teacher language communicates beliefs about who is capable of doing mathematics. In Part 2, When Students Say “I’m Just Not a Math Person,” we focused on how our responses in key moments can either reinforce or disrupt fixed ideas about ability.

In this final installment, we turn our attention to something even quieter, but just as powerful: the subtle messages embedded in our day to day math talk. Not just what we say, but how we ask questions, who we listen to, and whose ideas get lifted up in the room.

Because over time, students are not only learning mathematics. They are learning who gets to participate in it.

The Hidden Curriculum of Participation

Every classroom has an unspoken set of norms about participation:

• Who gets called on when a question is asked
• How long the teacher waits before stepping in
• Which answers are explored and which are quickly moved past
• Whose ideas are recorded and revisited

Students notice these patterns, even when we don’t. And they draw conclusions from them.

If the same handful of students regularly share their thinking, others may begin to see themselves as observers rather than contributors. If answers are evaluated quickly, students may learn that speed matters more than sense making. If only polished ideas are discussed, students may believe that uncertainty does not belong in math class.

These are not intentional messages, but they are powerful ones.

How Questions Shape Identity

The way we pose questions can either open up or narrow down participation.

Consider the difference between:

• “Who knows the answer?”
• “Who has an idea we can start with?”

The first invites certainty. The second invites thinking.

Or:

• “What did you get?”
• “How were you thinking about this?”

The first centers answers. The second centers reasoning.

These shifts may feel small, but they change who sees themselves as able to contribute. When we consistently ask questions that value thinking, more students find an entry point.

This aligns with Math Medic’s Experience First, Formalize Later philosophy, which invites all students to engage meaningfully in mathematical thinking before formal methods are introduced.

Strategy 1: Use Wait Time to Expand Participation

One of the simplest and most underused tools for equity is wait time.

After asking a question, many teachers wait only a second or two before calling on a student or rephrasing the question. In that brief window, only the fastest processors have time to respond.

Extending wait time, even by a few seconds, can dramatically shift participation.

Try this:

• Ask a question and silently count to five before calling on anyone
• Let students jot down a quick idea before sharing
• Use a turn and talk so every student has a chance to rehearse their thinking

Wait time communicates that thinking is expected, and that everyone is capable of it.

Strategy 2: Normalize “Half Baked” Ideas

If students believe they must have a complete and correct answer before speaking, many will stay silent. But if partial ideas are welcomed, more students will take the risk to contribute.

You might say:

• “Let’s hear a starting point, even if it’s not fully formed.”
• “Say what you’re thinking so far.”
• “We can build on ideas together.”

When a student shares something incomplete, resist the urge to immediately correct or refine. Instead, treat it as a valuable contribution:

• “That’s helpful. Let’s explore that.”
• “Who can add on to this idea?”
• “What questions does this raise for us?”

Normalizing in progress thinking helps students see that mathematics is not about having finished answers, but about developing ideas.

Zaretta Hammond’s work on culturally responsive teaching reminds us that students engage more deeply when they feel safe taking intellectual risks. Welcoming “half baked” ideas is one way to build that safety.

Strategy 3: Invite All Voices Intentionally

Participation does not happen evenly by accident. It requires intentional structures.

Some simple approaches:

• Use random calling methods so participation is distributed
• Have students share in pairs before speaking to the whole group
• Ask students to respond to each other, not just to the teacher

You might say:

• “Let’s hear from someone who hasn’t shared yet.”
• “Turn to your partner and compare your thinking.”
• “Who can restate that idea in their own words?”

These moves shift the classroom from a teacher centered exchange to a shared mathematical conversation.

Who Gets Written on the Board?

One of the most visible indicators of whose thinking is valued is the board.

Whose ideas are recorded?
Whose strategies are revisited?
Whose work becomes the example for the class?

If the same types of students, or the same types of strategies, are consistently represented, students notice.

A simple but powerful reflection practice is to review a week’s worth of board work:

• Whose ideas are visible?
• Are multiple strategies represented?
• Do all students see themselves reflected in the mathematical work of the class?

This is not about perfection. It is about awareness. Small shifts in what we record can send strong signals about whose thinking matters.

End of Year Reflection: What Have Students Learned About Themselves?

As the school year begins to wind down, this is a natural moment to step back and reflect, not just on content, but on identity.

Across this series, we’ve explored three connected ideas:

• In Part 1, we saw how the language of expectations shapes who students believe can succeed.
• In Part 2, we examined how our responses to moments of doubt can either reinforce or disrupt fixed beliefs about ability.
• In Part 3, we’ve considered how everyday patterns of talk, questions, wait time, participation, and representation, send subtle but lasting messages.

Taken together, these form a powerful truth: Students learn as much about themselves as learners as they do about mathematics in our classrooms.

As you look ahead to the final weeks of the school year, you might ask:

• What messages have my students heard consistently about their ability?
• Who has had opportunities to share and be heard?
• What would I want students to say about themselves as math learners when they leave this class?

Consider choosing one routine to adjust this week. For example, extending wait time by a few seconds or making a point to record a wider range of student ideas on the board. Small, consistent changes like these can shift who participates and how students see themselves in our classrooms.

Pete Grostic, Ph.D
Executive Director

Please join Math Medic Foundation in our mission to improve math outcomes for all. You can contact us to get involved or donate here.

Follow us on X and like us on Facebook.

References

Math Medic. mathmedic.com

Hammond, Z. Culturally Responsive Teaching and the Brain.