Group theory for high schoolers, want the opinion of other educators

Course Queries Syllabus Queries 3 years ago

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manpreet Tuteehub forum best answer Best Answer 3 years ago

So I am going to be teaching the basics of group theory to high schoolers in a few weeks, and I want to hear what the Stack Exchange network has to say on the matter.

  1. What are the applications and insights I should show them in order to excite them about the subject?
  2. What would be a good possible outline of the syllabus, including the rote aspects of group theory, and what are some possible sample problems for the non-rote aspects, i.e. this is why group theory is nifty, these are the deeper connections, these are intriguing applications, etc.?

Thanks in advance!

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manpreet 3 years ago

Counting problems as application of Burnside theorem usually excites high school students. Even Polya's pattern theorem can be stated without proof and applied to coloring of geometrical shapes.


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