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What do you mean by "student"? Undergraduate student? High school student? Any student?
A general mathematics StackExchange site has already been proposed: http://area51.stackexchange.com/proposals/3355/mathematics
See these two Area 51 proposals:
It's a nice idea, and I think that everyone here would be happy to see the Mathematics and Calculus proposals for new Stack Exchange sites succeed. The thing that worries me is drawing an expert audience --- it's unclear whether an echo chamber of confused undergraduates would be very helpful to anyone.
I'd also note that the 'real name approach' you see on MathOverflow is no accident, or inevitable with the available software. The moderators worked at this pretty hard in the early days, emailing new users as they arrived explaining why using real names was a good idea.
@Pete, you're absolutely right, that there are plenty of people with the required expertise. What I'm not seeing, however, is what would motivate them to participate. When I was an undergraduate, I worked as both a TA and a grader for other undergraduate courses, and I think I did a fine job at this. But that's the point --- it was a job, someone was paying me to do it, and otherwise I would have been at the beach.
On a slightly different point, it seems harder to find the "superusers", e.g. Anton, who are willing to put a lot of time into managing the site, at a higher level than dealing with individual questions. Of course, the whole point of Stack Exchange is that this role isn't actually meant to be too much work, but I'm still dubious.
A site like that already exists: it's called artofproblemsolving.com!
Sooo... when the commitment phase is finished, that's going to be a lot of questions!!
I don't think they really expect everybody who commits to ask 3 questions. Remember that they're being extra cautious with the first round of SE 2.0 sites; they really want to make sure that they're going to be successful. I haven't been following the commitment numbers, but I'd bet that Mathematics won't be among the first new sites. Once a few sites have been running smoothly for a while (a month?), I expect they'll loosen up the requirements. After all, a promising site never seeing the light of day is a worse outcome than a decent-looking site going to beta and then flopping.
The quality of answers on AoPS depends on which subforum you ask in, since the subforums are somewhat age-segregated. By and large, you get good answers in the Olympiad/College forums to difficult but elementary questions; it's where people like current and former IMO champions hang out.
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