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Feel like Hercules for a day. Individuals watch a video that describes how to defeat a mathematical Hydra that grows additional heads when one is cut off. The solution requires scholars to use ordinals and the well-ordering theorem.
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Instructional Ideas
- Team up with an English or social studies teacher for a cross-curricular lesson
- Have groups come up with a strategy to kill the Hydra before watching the solution in video
Classroom Considerations
- References the "A Hierarchy of Infinities" video
- This video is hosted on YouTube
Pros
- Models mathematical practice by first starting with simpler cases
- Animations and graphics make the problem easy to grasp
Cons
- None