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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Facts Aid Understanding When Sequenced
- Teaching math facts does not inherently block understanding; timing and prerequisites matter.
- Memorization before prerequisites can hinder concept formation, but properly sequenced facts become tools for understanding.
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.
Shrink Sets; Use Short, Daily Retrieval
- Shrink problem sets and use short, frequent retrieval practice to maximize learning per minute.
- Remove zeros and reciprocals early to reduce items from 100+ to a manageable 36 problems for initial memorization.