When I was at uni I had to have 2 ways of showing my work.
One was a portfolio, mine cost £35 I think and was black with sort of velvety inside covers and sleeves for A4 prints (sorry I can't remember the name).
The other thing I use to have was a notebook type thing, that id keep just to put bits and pieces! So ideas, contact sheets from shoots, ongoing work, photos I liked from other photographers etc...so bits of everything really.
If your tutor is thinking of something to show individual photos better then how about mounting onto some thick card.
(P.S. my photography tutor was just the same - all the questions none of the answers!)