Madotsuki's Dreams are her warped representation of School
Think of it this way. Madotsuki is a misbehaving child who steals things from other students, thus the effects. The Toriningen are teachers. Some teachers know that Madotsuki is a thief, and they try and stop her, these teachers are the lunatic Toriningen. When they catch Madotsuki, they send her to an inescapable place, detention. Other teachers don't know about Madotsuki being bad, but they can be made be realize this if they see her do something bad. These teachers are the nice Toriningen who will become hostile when stabbed. Poniko is the assistant principal or the office assistant. She doesn't bother Madotsuki because she doesn't have any say in it, or she doesn't belive that Madotsuki is really bad, or she simply doesn't care. Uboa is the prinicipal, and the trap is his office. Seccom Masada-sensei is, as mentioned before, is her music teacher. He doesn't know about Madotsuki's violent behavior, which is why he runs when she pulls out the knife. The many characters might be her representation of students or other teachers. It doesn't make much sense, but just think on it, it kind of makes sense.
This is an interesting theory and I wouldn't be surprised if some things or at least her emotional issues were based on school, but I don't think it should be EVERYTHING. o.O
Maybe some of her stuff has to do with summer vacation or a scary movie she watched.
For some reason I got the strangest feeling instead of being related to a real person in her life, Shitai-san is like Jason Voorhees. o.O
LOL. I know, retarded idea. XD
I just had to say it though. :p
Madotsuki tried to touch her principal in his love spots, and he called her parents. The had a conference and lecture, Madotsuki thinks it is an endless loop.