[pas]

> productive and generally useful, like learning to

to reason.

it would be great to teach people critical thinking. at every age, at every year.

applied epistemology, rationality, etc. of course no need for those fancy words.

... and during those lessons at one point they could learn about the usefulness of models, and the usefulness of math, money, programming, etc.

but otherwise there's no point in ramming math/programming/finance directly into the heads of kids.

[asdff]

If the goal is to teach reasoning then I think most 101/102 level calculus fails at that. For most students (including mine when I took it), their experience is just getting through generalized homework problems or an exam than actually applying that calculus to test a scientific hypothesis. Reasoning is taught better in those sciences, such as physics, biology, chemistry, or statistics, where you are explicitly developing and testing a null hypothesis. Maybe replacing calculus with statistics in high school curricula would be a lot more useful, if the goal is to teach reasoning and critical thinking.

[pas]

I think math in general fails at that. After all it's just one tool in the big ol' cognitive shed.

(This is why I think the recent brouhaha about California changing some requirements completely misses the point... but meh. Education is like healthcare, completely broken and fucked in all the ways it could be.)