Progressively Incorrect S5E12: Brian Poncy on Better Ways to Teach Math Facts
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Jan 5, 2026 Join Dr. Brian Poncy, a school psychology professor at Oklahoma State University, as he breaks down the misconception that teaching math facts interferes with understanding. He emphasizes the importance of a systematic approach to fluency and explains how memorization can enhance problem-solving abilities. Brian introduces the innovative Facts on Fire program, focusing on efficient practice techniques and personalized strategies for older students. He advocates for equitable practice, ensuring all learners benefit from strong foundational skills in math.
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Decomposition Depends On Fact Fluency
- Decomposition strategies rely on underlying memorized facts; they work better after facts are fluent.
- Teaching decomposition before fluency often increases cognitive load and reduces effectiveness.
Use Tape Problems With Immediate Retrieval
- Use a time-delay format (tape problems) that models answer then prompts retrieval, not pure errorless imitation.
- Pair immediate repetition with brief timed retrieval to strengthen stimulus–response associations.
Progress Monitor And Backfill Prerequisites
- Monitor within-session progress and stop to assess prerequisites if a child doesn't reach expected gains.
- Use daily progress data to decide whether to increase dose or backfill missing skills.