The idea of dancing proofs is very wholesome to me, as writing proofs is probably my least favourite part of math. So by expressing LateX code into fun body movements, I think is a very valuable way to learn. This is why I find the thought process behind choreographing the dance so interesting! Because the proofs in Elements are all based on geometry, we can get a lot more creative with our body expressions. But just seeing the props used and the “arms” used makes me appreciate how flexible a geometric proof can be, since it can be represented as long as everything is proportional. I also like that the paper mentioned about how the proof would eventually be erased by the tide, so I think it’s a beautiful way to represent a proof given the temporarily-ness of this activity.
I also like the mention of engaging imagination. Proofs, for all intents and purposes, involves little to no imagination. Writing proofs on paper feels like the stereotype of mathematics: all logic and no fun. But by allowing body movement and creativity, proofs can be written much more elegantly, since there is a theoretical infinite amount of possibilities to represent a geometric proof. By implementing imagination in an activity, it brings life into math, even if it is silly dances on a beach.
In a classroom, I think it would be fantastic in units involving volumes/areas of shapes, whether it be the junior grades, or even integrals in calculus classes. It would be a fun relational understanding activity, where I give my students a very weird shape, but they have figure it out using their own bodies in groups. It gives the students a chance to not be too serious in a math class, while “tricking” them to stand up and move around. Though of course, since it involves movement, many kids would definitely not want to participate, or feel like they would come across as “lame.” Some students would also be uncomfortable being too close to some others, so it would definitely be an optional activity to replace traditional worksheets.
Thank you for sharing, Leon! Great point about engaging imagination. I agree that traditional proofs often seem to lack creativity, and the approach highlights how incorporating movement and creativity can make the process more engaging and elegant. Exciting to see that you're already thinking about ways to incorporating physical movement into your math lessons!
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