Knowledge for Teachers

S02E14 - Professor Bethany Rittle-Johnson on conceptual and procedural knowledge in mathematics

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Aug 3, 2024
Bethany Rittle-Johnson, a professor of psychology at Vanderbilt University, specializes in how people learn, particularly in math. She explores the balance between conceptual and procedural knowledge, advocating for strategies like worked examples and self-explanations. Bethany emphasizes the importance of recognizing children's innovative problem-solving methods and the need for challenging approaches to enhance engagement. She also discusses using generative AI to address misconceptions and the critical role of comparisons in deepening understanding in math education.
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ADVICE

Early Math Knowledge

  • Focus on number knowledge like counting, quantities, and comparisons.
  • Explore patterning as a lens for structure and creativity in math.
ADVICE

Challenging Students

  • Challenge students with harder math problems than you think they can handle.
  • Young kids have more potential and curiosity than we realize.
INSIGHT

Conceptual vs. Procedural Knowledge

  • Conceptual knowledge involves abstract principles, while procedural knowledge involves steps tied to specific problems.
  • Both types of knowledge are essential for mathematical understanding.
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