the teacher allowed time for the rebellious student to try to show that his methods were better than those of the teacher.
I thought this was a horse---t illustration. In real life the teacher would have the student removed from the classroom so the students who wanted to learn could. If the student continued disrupting the class after they were allowed to return they would be expelled from school. Of course it has been decades since I was in school so things probably have changed for the worse woke.
Parents do not let their little children put their hands on top of a burning stove flame just to prove a point.
Agreed. They also would not punish their grandchildren by putting their hands on the burning flame, then their great-grandchildren, and make sure that every successive generation had their hands burned just to prove that fire is hot!.