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Re:So you want to study mathematics by thaumasiotes on Monday March 07, 2022 @09:26PM (#30595778)
> My strong opinion as someone who majored in math is that, at least within the US, the standard calculus requirement should be replaced with statistics. So much more useful and so much more important as an adult.

I think math people may have a view of this question that is skewed in an interesting way.

Statistics is very useful and its common techniques are not difficult to apply.

But they seem to be very difficult to apply correctly. We have entire academic fields that are built mostly on the spurious application of statistical methods in contexts that make the whole project invalid.

And this sort of "techniques without theory" approach is what's being advocated for upthread and represents a failure mode that math people are unlikely to consider -- because they know that part of being able to apply a technique is being able to tell whether or not applying it is valid. Math people are unlikely to fall into the trap this approach sets. But the same people who want this approach are also likely to end up being hurt by it.

Re:So you want to study mathematics by bick_nyers on Tuesday March 08, 2022 @09:40AM (#30600369)
My thoughts exactly. What you want to teach ultimately before anything else is mathematical maturity, which in my opinion, calculus is currently doing the best job at providing.