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For questions concerning the motivation of students and helping them to motivate for their study in general.

4 votes
1 answer
241 views

Elementary examples for non-reversible logical steps

While listening to recordings of Calculus $I$ lectures, I noticed that some students get confused between showing that "some object $x$ is a solution", and showing that "every (possible) solution mus …
Asaf Shachar's user avatar
12 votes
7 answers
4k views

Does induction really avoid proving an infinite number of claims?

I am teaching calculus $1$ this semester, and I saw the following motivation for using induction by another teacher: Since we can't go over "manually proving" all claims $1,2,\ldots$ and actually get …
Asaf Shachar's user avatar