Bullying in the eduation system, in my area, exists. I don't believe that bullying will be eradicated completely.
Students bully their teachers. I have been in the classrooms where this happens. Generally, the teacher has low self confidence and can easily be spotted by a student bully. Once the student bully takes control of the class, it, literally, is out of the teacher's hands. I have also been in classes where the abuse is not just verbal, but is actioned out in displays which range from gluing the teacher's seat to rearranging the whole classroom to locking the teacher out of the classroom. One student went so far as to trip the teacher as she stepped into the room.
Teachers bully their students. I have been in classrooms where it is the complete reversal. I have seen teachers point out a student and continually blame that student for misbehavior, talking, garbage being thrown, etc. when that student was completely innocent. Not only did the student speak up in their own defense, the entire class spoke up for their classmate.
What have schools done to prevent this? There is a huge movement and a vast campaign across the school boards -- the Anti-Bullying Campaign -- to educate students and teachers: the forms of bullying, what is acceptable behavior and would lead to bullying, how to handle circumstances if one is in a situation of bullying, what to do proactively to prevent it.
Bottom line: bullies bully for the same reason -- they have little to no self confidence, low self esteem and feel that the only time they have power is to take it away from another person. Bullying cannot be tolerated.