Article 1 section 8 does not implicitly state that education is permitted; howver it does state
Education is a matter of providing for both defense, and the general welfare of the U.S.ection 8. The Congress shall have power to lay and collect taxes, duties, imposts and excises, to pay the debts and provide for the common defense and general welfare of the United States; but all duties, imposts and excises shall be uniform throughout the United States
Furthermore.. section 9 which sets limits to the powers of congress does not mention any limitations regarding education either.
If you have further problems with the interpretation of the constitution, I suggest you take it up with the supreme court, since they are the ones with the vested power to do so.