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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
    |
    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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  • First Discussion Questions: As always, 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!
    • What’s the chromatic number of each of those graphs?
    • Could you sketch a graph whose chromatic number is one?
    • What’s the smallest, simplest graph whose chromatic number is three?
    • Imagine you’ve got a graph that represents the corners of a cube connected by the edges of the cube (you could grab a box or some dice or something to be your cube). What’s the chromatic number of that graph?
    • Could you color in any of the graphs you’ve played with in different ways that still use the same number of colors?
    • Attached is a map of the United States. How many different colors would you need to color in each state a different color from its neighbors?
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