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Geoff Krall | New Tech Math Coach Emergentmath.wordpress

Explore 8 tasks that spark mathematical conflict and discussion, enhancing learning through hands-on activities and group work. Discover how promoting discourse improves understanding and retention. Plus, get a bonus task for even more engagement! Learn more at emergentmath.wordpress.com.

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Geoff Krall | New Tech Math Coach Emergentmath.wordpress

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  1. Promoting Mathematical Conflict: Eight Tasks That Produce Mathematical Discourse(now with a bonus 9th task!) Geoff Krall | New Tech Math Coach Emergentmath.wordpress.com

  2. The Problem Based Learning process

  3. Guided Instruction vs. Conflict and Discussion (Malcolm Swan) How does the speed of the ball vary? Sketch a speed v. time graph

  4. (Swan, 2006 continued) Expository Approach Conflict and Discussion Approach Think about the problem alone. Discuss the problem with your group. Write about the problem. Sketch the graph. Interpret the graph back into words. Long discussion, error guessing. • Short Introduction • Students work in groups at their own pace. • Teacher intervenes when they get answers wrong • Short final discussion

  5. Results • Conflict and discussion approach yielded better post assessment scores. • Students felt • the task was more interesting, • that they worked harder, • that they learned more. • Students need to swim in conflict and discuss mathematics in order to understand and retain mathematics.

  6. Look! Listen! Be present, but be aware of your surroundings! Tasks that promote conflict and discussion

  7. Odd one out

  8. Forcing or Creating the Definition Which of the following triangles is more equilateral:  the 10-10-11 triangle, or the 10-11-11 triangle?

  9. Classifying or Sorting Things

  10. Evaluating “Truthiness”

  11. Dominoes

  12. Uber-Perplexing Entry Events or #anyqs

  13. Matching

  14. Evaluating Student Work

  15. Mathematical Conflict-Producing Tasks Matching Odd One Out Forcing/Creating the Definition “Uber-Perplexing” Entry Events Dominoes Analyzing Student Work Truthiness – Always, Sometimes, Never Classifying Ordering

  16. Two ways to a “conflict-centric” approach Tasks

  17. Which task was your favorite? Which task could you incorporate tomorrow into a PBL Unit? Templates for Conflict & Discussion Producing Tasks: emergentmath.wordpress.com End of Class Debrief Please leave feedback: tinyurl.com/ntac2012sessionsurvey

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