> Why do school board super-intendants and administration make more money than teachers themselves?

The more and less cynical explanations (and both play a role, IMO):

(1) Because individuals in those roles have closer relationships to the people that set the salaries than do individual teachers, and

(2) Because otherwise people with experience in education would continue as teachers and not seek roles as superintendents or other administrators (or seek the advanced degrees sought for those roles whose only financial payoff is greater competitiveness for those higher paying roles.)