Geoff Krall | New Tech Math Coach Emergentmath.wordpress
description
Transcript of Geoff Krall | New Tech Math Coach Emergentmath.wordpress
Promoting Mathematical Conflict: Eight Tasks That Produce Mathematical Discourse(now with a bonus 9th task!)Geoff Krall | New Tech Math CoachEmergentmath.wordpress.com
The Problem Based Learning process
Guided Instruction vs. Conflict and Discussion (Malcolm Swan)
• How does the speed of the ball vary?
• Sketch a speed v. time graph
(Swan, 2006 continued)
Expository Approach• Short Introduction• Students work in
groups at their own pace.
• Teacher intervenes when they get answers wrong
• Short final discussion
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.
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.
TASKS THAT PROMOTE CONFLICT AND DISCUSSION
Look!Listen!Be present, but be aware of your surroundings!
Odd one out
Forcing or Creating the DefinitionWhich of the following triangles is more
equilateral: the 10-10-11 triangle, or the 10-11-11 triangle?
Classifying or Sorting Things
Evaluating “Truthiness”
Dominoes
Uber-Perplexing Entry Events or #anyqs
Matching
Evaluating Student Work
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
Two ways to a “conflict-centric” approach
TasksTasks
END OF CLASS DEBRIEF
Which task was your favorite?
Which task could you incorporate tomorrow into a PBL Unit?
Templates for Conflict & Discussion Producing Tasks: emergentmath.wordpress.com
Please leave feedback: tinyurl.com/ntac2012sessionsurvey