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Contemplative Mathematics: Leading Math Discussion Groups
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Introduction
Introduction to Socratic Mathematics (Preview Content)2 Topics|1 Quiz -
SessionsSession 1: Figurate Numbers2 Topics|1 Quiz
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Session 2: Square Numbers2 Topics|1 Quiz
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Session 3: Co-primality3 Topics|1 Quiz
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Session 4: Co-primality and Fractions2 Topics|1 Quiz
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Session 5: A Numerical Puzzle2 Topics|1 Quiz
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Session 6: Another Numerical Puzzle2 Topics|1 Quiz
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Session 7: The Bridges of Köningsberg2 Topics|1 Quiz
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Session 8: Patterns in Graphs2 Topics|1 Quiz
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Session 9: Chromatic Graphs2 Topics|1 Quiz
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ConclusionConcluding Remarks1 Topic
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End of Course TestEnd of Course Test: Contemplative Mathematics1 Quiz
Lesson 7,
Topic 2
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Discussion Questions
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- Discussion Questions: Remember that the goal here is to seek out truth together, and convince yourselves that you’ve found it. As the facilitator, part of your responsibility is to make sure that everyone in the group is heard and on board!
- Can you make up a few more proportions that follow the rule the examples do?
- Could you make up a proportion with letters that makes that rule general?
- Can you craft a conjecture that relates those proportions to the square numbers we talked about in the second session?
- The proportion  =  Is interesting. I could write a different proportion that has six in the same places:  = . But for 7, I can’t do that.  =  is the only proportion with seven in those places. What’s up with that?
