The libertartian position is that state has no role in education, since the purpose of the state is protection of individual rights and not pursuit of public good. Parents and adult students are capable do decide for themselves what education to get in pursuit of their private good. The libertarian slogan is "separation of school and state", consistent with that philosophy.
These are two older threads on the evil of public education.
Pursuit of Liberty: Educational Coercion and Aberrant Behavior
Pursuit of Liberty: Steps That may pass the Separation filter
Wouldn't the act of abstaining from an active role in the education of children be considered a "public good" by libertarians? Or at least a "good"?
Should the State prescribe minimal guidelines for education? If not, then how could the State secure the "individual rights" of the child who is deprived of an education (or worse)?