One thing that would help a lot is to raise awareness amongst teachers and parents so that they pay attention and notice bullying and try to do something about it, instead of just thinking “oh, that’s what kids are like.”
Also, there are things to teach your kids to do if they are being bullied. I heard a school psychologist speak about it once. I don’t remember everything but I think that one thing is to not let the bully think that he hurt you.
I read a great story about a boy who was bullied over 80 years ago. He was much younger than the other boys in his Yeshiva, so they made fun of him. They would put a stuffed animal in his bed at night to make fun of him for being so young. They would come back the next day expecting to see that he had thrown the stuffed animal on the floor in anger, but they would always find the stuffed animal in the made bed exactly where they had left it. They were spooked out – they thought he must be a malach who doesn’t sleep! They were so spooked out they stopped bullying him.
It turned out that he did go to sleep, but when he woke up, he would put the stuffed animal back so it looked like he hadn’t slept. This way, he showed them that they couldn’t affect him. The boy’s name was Aharon Leib Shteinman!
The moral of the story is that if you act like you are not affected by what the bully does, he will stop.