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The answers in the comments are probably the best (in particular @James S. Cook's advice to talk to a professor at a local university if you have such a connection) but here's at least a list to get you started: Given that you've got quite a range of interested there I would suggest going through the MAA's list of Math programs: https://www.maa.org/...


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Start with two equations that are the same in every way, like this: 2 + 2 = 4 and 2 + 2 = 4 Now, add "4" more to each of the two equations, one at a time, so you'll get 8 in each equation. But do it different ways in each of the two equations. 1.) Add all of the "4" more to the second "2" in the first equation: 2 + 6 = 8 (and 2 + 2 = 4) 2.) Now split up ...


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