It authorized Congress: All legislative Powers herein granted shall be vested in a Congress of the United States, which shall consist of a Senate and House of Representatives.
It empowered Congress: To make all Laws which shall be necessary and proper for carrying into Execution the foregoing Powers, and all other Powers vested by this Constitution in the Government of the United States, or in any Department or Officer thereof.
Following that is a list of powers denied to Congress. Establishing schools or support for schools is not listed.
Thomas Jefferson was a very strong advocate of making sure that all people, regardless of race, color, creed, or financial standing would be able to get an education. The reasons I cited in my previous posts come directly from Thomas Jefferson's writings.
Perhaps you think you are a better statesman or societal thinker than he.
Are you arguing for unlimited government?