I’m teaching a summer physics course. One thing I’m doing differently this year is having students do at-home experiments with friends or family. Part of their reporting back involves having to share the ideas of their friend or family member. Here are a few quotes from students discussing what happened when they dropped a book, a piece of paper, and crumpled up piece of paper.
I think the most interesting thing for the physics teacher is people's explanations of why things happened.
I'm trying to think of topics in my math classes that students could share with friends and family. I'll be teaching pre-calculus, calculus I, and calculus II in the fall. But I'm interested in algebra questions that can be shared at home, too. The first criteria is ease of understanding, but there's also the aha! factor, when something doesn't turn out like you expected. I know lots of cool mathy experiments that students could easily share, like making a mobius strip, but I'm not sure I know any related to calculus...
Can you help me, dear readers?