A suggestion and a possible monetization idea - don't sell to students. Make schools your target. They buy a copy of your app and put it on their servers. Make it possible for teachers to push out assignments to it.
It also makes the thing actually useful for me -- I don't want to have to remember to add the assignments to it myself. I already know what my assignments are and I don't have time to type them into yet another place.
+10 if I could. This is much better than selling to students. I know a couple startups selling to schools, and there are difficulties there too (like actually closing the deal), but if you want to monetize, this strategy is worth a shot.