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