Re: Induction with a hard start

David C. Ullrich wrote:
On Tue, 27 Sep 2005 19:10:48 +0100, Robert Low <mtx014@xxxxxxxxxxxxxx> 
Scary (but all-too-believable) anecdote removed.
So, did he pass?

Don't remember, but possibly - this was linear algebra
101, where a student can pass just by learning to
implement algorithms, even if he believes that it's
possible to prove something is a subspace and also
that it's not.


It's also true that some students find it equally
easy to prove true and false things.

I used to be malicious. I'd do the standard horrible
proof by contradiction the sqrt{2} is irrational,
then give them guidance on sqrt{3}; then I'd set
sqrt{4} as an exercise. A few managed it...
.

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