[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.)