Public schooling entails a central board of elected or appointed government planners, either at a national, state, or local level.
Attendance is mandated by compulsory-attendance laws.
And this is true whether one examines public schooling in Cuba, North Korea, China, or the United States. A separation of school and state, in the manner that our ancestors separated church and state. Repeal compulsory-attendance laws. Repeal school taxes. Get rid of the school buildings.