Building Bridges: Helping Students Move Between Concrete, Representational and Abstract Models

What is the difference between a student who gets the right answer and a student who understands the mathematics? The answer lies in how flexibly they can move between different ways of representing mathematical ideas and how well they understand the connections between those representations.

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6 min read
Apr 16, 2026

Embracing the "Least Dangerous Assumption" in Inclusive Math Education

In the world of education, educators’ assumptions are the invisible architects of a student’s future. When we walk into a classroom, what we believe a student can do often dictates what we allow them to try.

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5 min read
Apr 2, 2026

The Power of “Adjust Your Thinking”: Reclaiming Adaptive Reasoning in Mathematics Classrooms

Question → Answer. Question → Answer. Question → Answer. “My students don’t know how to problem solve. They don’t have any stamina when it comes to solving a complex problem. They can’t think their way out of a cardboard box!”

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7 min read
Mar 6, 2026
6 min read
Feb 19, 2026

A Manageable Approach to Math Menu Feedback

CHRIS SINGLETON & ASHLEY MARLOW Published: January 8, 2026

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3 min read
Jan 8, 2026
5 min read
Nov 21, 2025