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Knowledge for Teachers
S02E14 - Professor Bethany Rittle-Johnson on conceptual and procedural knowledge in mathematics
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.
01:04:23
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Quick takeaways
- Conceptual knowledge involves grasping abstract mathematical concepts while procedural knowledge focuses on applying specific problem-solving methods, both essential for effective learning.
- Patterning is significant in early childhood math education, as nurturing this ability helps children understand quantities and mathematical structures, fostering a love for math.
Deep dives
Understanding Conceptual and Procedural Knowledge
Conceptual knowledge involves understanding abstract concepts and general principles within mathematics, such as numerical magnitude and relationships. In contrast, procedural knowledge is the application of specific steps or methods used to solve mathematical problems. Both types of knowledge are essential for effective math education, as they support each other in helping students make sense of mathematical concepts. A balanced approach that incorporates both conceptual and procedural teaching is crucial for fostering deeper understanding in learners.
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