I don't think there's any problem with recording inside of a classroom considering that you're paying for the education. I see no difference in writing the information down in a notebook or recording it in a hand held device. The intention is the same...
Snowman that is a great mic. I didn't see anything in the text that read that you need a power source for the mic which condensers need. It's a cheap solution.
I personally use a
Microtrack It has a t-bar stereo mic which is perfect for me and best of all.... It all fits in my pocket.