The way I see it, they'll be mostly brief. Like we'll probably see the most teacher interaction via homeroom where they go over things we 'covered' or things we need to prepare for and whatever. Then there may be times, depending on what Savo or Sho have in mind, where it starts out a little speech/lecture/instruction and cut it off allowed the PCs or NPCs talk and pass notes behind the teachers back if it has anything to do with new events or whatever. But I don't really see the teacher playing a big role, the 'school work' will mostly be assumed and done automatically. Like all we need to do is mention something about it in a post and done. 

I think its just a matter of us going, interacting with NPCs and other NPCs triggering certain events that has to do with the storyline, about all I can see happening.