While many universities accept credit cards for payment of tuition, you cannot pay off student loans with credit cards. Take it from me - I have undergraduate loans, loans from law school, and loans from another masters program.
Even if you could, as someone else said, that would be incredibly risky. You would only want to do it if you knew for SURE that you could then pay the entire credit card balance within that year. Otherwise, you're almost SURE to be paying waaaay more in interest than you would had you just paid the loan the normal way.
The idea that you, saddled with debt, could get a new credit card with a high enough credit limit to cover your loan (especially these days) is also pretty shaky.
The other thing - student loan debt is much better, from a credit score point of view (and the point of view of lenders using their discretion) than is high revolving consumer debt. Even if you could use credit cards to pay off student loans, and knew you could do it within one year on a 0% APR card, you'd be wrecking your credit score in the short-term ... not just because you'd now have consumer debt, but because you'd have a very high debt-to-credit ratio, which plays a major role in your credit score. (Assuming, of course, you couldn't get a card with, say, a $40,000 limit to cover your $10,000 debt... which I'm going to go out on a limb and say you couldn't do.)
And as the poster above said... you get a tax credit (or deduction, can't remember which) for student loan interest paid.
Also - you just never know what is going to happen. Student loans, and government loans in particular, afford you some protection. There are easy ways to defer the loans or get a forebearance if you can't pay. Not so with credit cards. I've never ever heard of anyone thinking that using a credit card would be better than just paying the loan normally.