I wish my high school and undergraduate courses had taught #calculus through the lens of #physics instead of keeping it all abstract. I'm relearning a lot of it now that way, and it actually makes sense and "sticks" because the equations describe real things and I have a reason to know them.
#math #education
@2ck You learned the proper way, the way filled with proofs. Nothing matters unless it can be proven. The rigor strengthens the mind.
@AmpBenzScientist That's a false dichotomy, you can have proofs *and* proper motivating examples. They don't even have to be physics, there are other ways in which calculus represents parts of the world. @2ck
@timorl @2ck It is irrelevant if people have different views on Calculus. What matters is that it is presented as theory with rigorous proofs. Mathematics is a field based on proofs. What I stated was not false as theory is required for proper application. It is true that Calculus like operations were being used before the discovery of Calculus. Euler's Method is a good example of this. There are problems that have been proven to not have a solution.
In summary, Theory and rigorous proofs are the foundation. Examples and applications should logically follow after this.