
S04E03 - Dr. Brian Poncy on Facts on Fire: Why Fluency Is the Foundation of Mathematical Thinking
From Knowledge for Teachers by Brendan Lee
February 21, 2026 · 1h 35m · Episode 73
About this episode
Dr. Brian Poncy discusses the importance of fluency in mathematics learning and its impact on problem solving.
Fluency is often treated as a small piece of mathematics learning, but in reality, it may be one of the most important and overlooked foundations for long term success. In this episode of the Knowledge for Teachers podcast, Brendan Lee speaks with Dr. Brian Poncy, Professor at Oklahoma State University and the creator of Facts on Fire, a highly regarded program designed to build maths fact fluency through short, structured, and evidence informed daily practice. Brian challenges the common resistance to timed practice, arguing that fluency—defined strictly as accuracy plus speed—is the bridge that frees up working memory for higher-order problem solving. Listeners will discover why timed practice only works when students are placed at the right starting point, how small sets and careful sequencing can dramatically improve motivation and success, and what schools can do to implement fluency routines effectively in just a few minutes a day. The episode also explores the powerful concept of contingency adduction, where mastering component skills can lead students to solve complex problems they have never been explicitly taught. A practical and thought provoking conversation for any…
People in this episode
Host: Brendan Lee
Guest: Dr. Brian Poncy
Topics covered
- mathematics fluency
- education
- timed practice
- working memory
- problem solving
- motivation
- teaching strategies
Keywords
- math fluency
- education
- timed practice
- working memory
- higher-order problem solving
- motivation
- contingency adduction
Mentioned in this episode
Organizations: Oklahoma State University
Places: Australia, Perth, Adelaide, Melbourne, Sydney
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