From this project, I learned quite a lot about how much the ancient civilizations knew about math!
It's kinda sad that so many of the theorems and stuff are named after people like Pythagoras and Euclid, instead of those who discovered them first. The term diagonal rule makes a lot more sense than the "Pythagoras Theorem." But without the help of calculators and things like chatGPT, the ancient Babylonians were able to find square roots, reciprocals, and so much more. And without the internet, they had to pass these knowledge down through generations through clay tablets and by mouth. So I'm very impressed on how accurate their information is passed down, and how well-preserved their knowledge is in varies stone tablets.
I have also learned that so many different cultures were able to solve the same question with so many different interpretations. So it would be a fun idea incorporate a similar project like this in my future classroom! Obviously, the ancient people nor do high school students will understand how proofs work, but by using geometry, we can do so much! I really enjoyed the pyramid problem that Brandon, Caris, and Sahl's group did, as the geometric solution is very satisfying. I have always been an instrumental learner, so even as a student, I would love to learn more about how we can use shapes to solve questions that were meant for arithmetics!
For slides:
https://docs.google.com/presentation/d/1Zh3KI2XFcd55FQTPpcuDYn1CV4C7EKXrHwDTp-TZSes/edit?usp=sharing
Great work, Saiya, Teij and Leon! You have taken this exploration and its extension quite far, and your presentation was really interesting. Thanks for the good work!
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