I like the coin flip idea. I have done something along these lines as a single session with homeschool kids where I gave them two decks of cards and had them stack the deck while I was out. When I came back I used an Excel VBA program I had made to continually reassess the maximum likelihood for the red/black proportion and updated it as I drew cards. Didn’t go quite as well as I had hoped, mostly because I didn’t emphasize that in order to get quick results they needed to really stack the deck, and they had made it 24 red, 28 black, or something similar.
Anyway, yes, I was thinking exploring probability might have some more possibilities along these lines, so I will think about that a little more. We did optical illusions today: persistence of vision, pattern juxtaposition, etc. Then we talked about how they fool system 1 thought, but you can use system 2 techniques to defeat them, did things like measuring the apparently converging lines, slowed down the thaumatrope, etc.
I like the coin flip idea. I have done something along these lines as a single session with homeschool kids where I gave them two decks of cards and had them stack the deck while I was out. When I came back I used an Excel VBA program I had made to continually reassess the maximum likelihood for the red/black proportion and updated it as I drew cards. Didn’t go quite as well as I had hoped, mostly because I didn’t emphasize that in order to get quick results they needed to really stack the deck, and they had made it 24 red, 28 black, or something similar.
Anyway, yes, I was thinking exploring probability might have some more possibilities along these lines, so I will think about that a little more. We did optical illusions today: persistence of vision, pattern juxtaposition, etc. Then we talked about how they fool system 1 thought, but you can use system 2 techniques to defeat them, did things like measuring the apparently converging lines, slowed down the thaumatrope, etc.