I currently do not do much, if any, research in class. The extent of research that we do in class is when there are times when students may ask a question (sometimes not even related to math) I do not know the answer to and someone (myself included) may use google and do a search to find the answer.
For this project, I envision that I would assign the students an assignment where they must find a proof of the Pythagorean Theorem and present it to the class. There are hundreds of ways to prove this theorem so this would be a fun assignment to see all the variations of the proof. Students can prove it algebraically or visually.
To guide my students, I would create a custom google search, provided below, to help them sift through all the possibilities.
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