New answers tagged reference-request
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One well-known work that might interest you is Schey's Div Grad Curl and All That. It discusses elementary facets of electrostatic fields as a motivation for developing key ideas in vector calculus. There is many points in the "narrative" where they describe why different strategies for solving a problem wouldn't work, which gives some sense of false paths ...
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I am grateful to Mark Conger for finding a video of this presentation and getting the University of Michigan to digitize it. It isn't produced in the style of math youtube content, because that was presumably not the goal of QED TV, which I do not know the history of. But it is found! I finally have a link to the video! Here it is:
The video spends a lot of ...
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I believe the answer to this question is "No". Getting students to utilize the equal sign correctly is enough of a headache as it is; they do not understand regular equality.
This sounds like a potentially interesting project in mathematical logic, but I do not see any pedagogical uses.
Of course, I cannot support this answer with any evidence because ...
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