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> Indeed, professional mathematicians are usually the ones teaching prospective high school teachers during undergrad, so we are the ones to solve it. The vast
by throwawayjava 7y ago
> Indeed, professional mathematicians are usually the ones teaching prospective high school teachers during undergrad, so we are the ones to solve it.
The vast majority of people who are paid to use their knowledge of mathematics aren't doing math research. In fact, mathematics research is so uneconomical that most mathematics researchers spend 20%+ of their job on teaching.
The number of people who are paid a full 12 (or even 9) month salary to do mathematics research is vanishingly small.
> This problem is accessible to anyone who knows basic high school algebra, but it requires a lot of effort
That effort is really difficult to get out of students because few students have intrinsic motivation, and there's very little extrinsic motivation (unless 3 post-docs is your idea of a good way to spend your 30s...)
I'm not sure what the solution is, but showing more people what mathematics researchers in universities do with their non-teaching time seems like the wrong solution.
- impendia 7y agoWhat I described is what I consider to be "doing mathematics". As distinct from applying mathematics to other problems (also a very worthwhile endeavor!) I'm certainly not encouraging everyone to pursue a career as a math professor; the job market is poor, and is getting bleaker. But I feel like prospective math high school teachers should have an experience like the one I described. Much more important, in my opinion, than learning how to row reduce matrices, do integration by parts, or prove the intermediate value theorem.