Thinking Deeply about Primary Education

Thinking Deeply about Conceptual Understanding

May 10, 2025
Will Mcloughlin, a mathematics educator and doctoral researcher, dives into the crucial topic of conceptual understanding in math education. He emphasizes the importance of clear definitions and challenges educators to move beyond rote memorization. The discussion reveals how visual tools and animations can enhance comprehension, alongside innovative strategies like worked examples and guided attention. Will shares personal anecdotes and practical tips that aim to enrich teaching practices and deepen students' mathematical connections.
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INSIGHT

Definition of Conceptual Understanding

  • Conceptual understanding means deeper, connected knowledge of abstract ideas enabling novel thinking and learning.
  • It supports future learning by building strong, coherent knowledge structures in the mind.
INSIGHT

Challenges of Transfer in Learning

  • Transfer of learning beyond the original domain is rare and difficult in cognitive science.
  • Conceptual understanding may help recognize deep structures in other contexts, offering hope for better transfer.
ADVICE

Fix Attention to Build Understanding

  • Fix student attention loss first by using cold call, mini whiteboards, or call-response techniques.
  • Maintaining focus is the most powerful step to train conceptual understanding in lessons.
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