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I am currently a graduate student, who will (hopefully!) graduate in the next year (or two . . .). I have slowly come to realize that I enjoy teaching, and consequently want to do more of it! My main reasons are:

  • to gain experience
  • to bolster my CV
  • to learn to be a better teacher

That last point is particularly important to me, because I feel I have received insufficient training in how to teach mathematics well.

Now, I have done the usual TA thing. For the past year, I have also been an adjunct instructor at a local four-year college, so I pretty much know what it's like to be "fully responsible" for a course. What I am looking for are challenging opportunities which allow me to do some–or all–of the following:

  • teach fairly sophisticated math to bright high school students / undergraduates
  • engage them in innovative thinking/research
  • be consistently mentored/evaluated throughout the duration of this experience

Again, the last point is rather important to me. So my question is:

Do such programs exist?

I am sure they do, but when Googling, I invariably come up with graduate summer schools, or "local" opportunities. (By "local" here, I mean those which are only eligible to students in that particular school's graduate program.) So I am hoping someone (or several people) here know more about it than Google does.

I know that most opportunities for this summer have probably already expired, but I want to stress I am not only focused on summer sessions. In particular, I would gladly forego my usual TA appointment for a semester, to be a part of a more difficult and rewarding experience somewhere else.

Thanks in advance.

PS - This is my first question here, so feel free to edit my tags appropriately.

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    Hi, Steve. Welcome to Academia.SE. I've edited the title of your question slightly to account for the "unique" aspects of your question. Unfortunately, this is a bit out of my purview, so I can't really comment on this. However, it sounds like you'd want a position at a school with an "innovative" advanced HS or freshman curriculum. (Something like the Concourse Program at MIT.)
    – aeismail
    Commented Mar 28, 2012 at 18:25

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One possibility is to get involved with a program like Learning Unlimited (full disclosure: a few of my friends are heavily involved in running it).

I've also heard (through the grapevine) that a short while back AoPS may be looking for instructors. I don't know whether the position is still/was ever available.

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