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Contemplative Mathematics: Leading Math Discussion Groups
IntroductionIntroduction to Socratic Mathematics (Preview Content)2 Topics|1 Quiz
SessionsSession 1: Figurate Numbers2 Topics|1 Quiz
Session 2: Square Numbers2 Topics|1 Quiz
Session 3: Co-primality3 Topics|1 Quiz
Session 4: Co-primality and Fractions2 Topics|1 Quiz
Session 5: A Numerical Puzzle2 Topics|1 Quiz
Session 6: Another Numerical Puzzle2 Topics|1 Quiz
Session 7: The Bridges of Köningsberg2 Topics|1 Quiz
Session 8: Patterns in Graphs2 Topics|1 Quiz
Session 9: Chromatic Graphs2 Topics|1 Quiz
ConclusionConcluding Remarks1 Topic
End of Course TestEnd of Course Test: Contemplative Mathematics1 Quiz
Lesson 10, Topic 2
- 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?