If The People included responsibility for public education in their state Constitutions, I'd submit that education was the responsibility of those states.
YMMV.
I challenge you to find that in your State constitution.
I know it does not exist in our NH constitution.
Recently, the NH Supreme Court, populated by activist judges, was able to "discover" this "responsibility" of the State that had somehow been overlooked for more than 200 years. Their discovery was based upon the following language in article 83 of the NH State Constitution, under the sub-heading, "Encouragement of Literature, etc.; Control of Corporations, Monopolies, etc."
Based upon this phrase in Article 83, the NH Supreme Court ruled that the State of NH has an obligation to provide "Fair Funding for an Adequqate Education."
However, they neglected to rule that the State must also provide "Fair Funding" for, "Literature", "Sciences", and "all Seminaries" (private schools!!!), ALL of which are listed AHEAD OF "Public Schools".
The NH Legislature has been trying for over 5 years to satisfy the NH Supreme Court's caprice concerning the "Fair Funding" and "Adequate Education" terms in its ruling. This hideous ruling, which is based upon torturing the State's constitution and constitutes legislation from the bench, has been the cause for ENDLESS litigation by an army of "aggrieved citizens" who bring suit in order for their local School Collective to meet whatever whimsical notions these agents and their lawyers can concoct.
The State Legislature, and the State's Executive Council, have the power to vacate the Court's ruling, but they are too cowardly to do it.