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 such:

• 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.

Finally, I am on the fence about whether this question should be CW or not; as of now, it isn't. If people feel it should be, I will change it.

Thanks in advance.