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Contemplative Mathematics: Leading Math Discussion Groups

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  1. Introduction

    Introduction to Socratic Mathematics (Preview Content)
    2 Topics
    |
    1 Quiz
  2. Sessions
    Session 1: Figurate Numbers
    2 Topics
    |
    1 Quiz
  3. Session 2: Square Numbers
    2 Topics
    |
    1 Quiz
  4. Session 3: Co-primality
    3 Topics
    |
    1 Quiz
  5. Session 4: Co-primality and Fractions
    2 Topics
    |
    1 Quiz
  6. Session 5: A Numerical Puzzle
    2 Topics
    |
    1 Quiz
  7. Session 6: Another Numerical Puzzle
    2 Topics
    |
    1 Quiz
  8. Session 7: The Bridges of Köningsberg
    2 Topics
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    1 Quiz
  9. Session 8: Patterns in Graphs
    2 Topics
    |
    1 Quiz
  10. Session 9: Chromatic Graphs
    2 Topics
    |
    1 Quiz
  11. Conclusion
    Concluding Remarks
    1 Topic
  12. End of Course Test
    End of Course Test: Contemplative Mathematics
    1 Quiz
Lesson Progress
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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!
    • Could you work out a route from the bottom left pub to the top right pub that never crosses a bridge twice?
    • Imagine that you were standing on the island in the middle of all the rivers. Could you walk to all the pubs while crossing each bridge exactly once?
    • If you started in a different place, would the answer to the first question change?
    • If you could add or remove one bridge, would the answer to the first question change?
    • Try making up your own cities on the shared whiteboard with bridges and pubs and seeing whether there is a way to start at a particular pub, cross all the bridges, and return to the same pub.
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