"I don't have a problem with shame being used to stop bad behavior"
I tend to agree *but* if you accuse someone of wrongdoing and it turns out that you are wrong it is your DUTY to make things right. This principal should have been just as public in her apology as she was in her accusal. Trying to hide when you screw up just makes her look like an ass and does nothing to comfort the falsely accused.
"I don't have a problem with shame being used to stop bad behavior"
Mosquito: As I explained to you earlier...very slowly... there WAS NO BAD BEHAVIOR.
It is the equivalent of the police grabbing you off the street and parading you to the squad car and shouting that you're guilty of such and such serious crime...when all he should do is quietly take you into custody, presuming you are suspected of a crime.