I can see you have read the link close enough. But maybe you'll do better with the next links:
Article 1, Section 8 of the Constitution granted Congress the power to lay and collect taxes to provide for the general welfare of the United States. It is under this “general welfare” clause that the federal government has assumed the power to initiate educational activity in its own right and to participate jointly with states, agencies and individuals in educational activities.
The History Of Federal Government In Public Education: Where Have We Been And How Did We Get Here? | League of Women Voters
The U.S. Constitution and Education.
Levin, Betsy
1986-Apr
Although education is primarily a state function, its importance to our society makes it fertile ground for litigation. The Constitution--by authorizing the Congress to enact legislation--constrains and prescribes what happens in schools. Legislative histories, especially since the early 1960s, are outlined here. The major topics include: constitutional limits on the inculcation of religious, political, and moral values; freedom of expression for teachers and students in the school environment; the free exercise of religion; the requirements of fair procedures in the school environment; and the obligation to provide equal educational opportunity. (BZ)
ERIC - Education Resources Information Center
a minute ago you wanted to use the 14th...now its back to article 1 section 8 again.
the general welfare is the 18 powers of congress.
“With respect to the two words ‘general welfare,’ I have always regarded them as qualified by the detail of powers connected with them.
To take them in a literal and unlimited sense would be a metamorphosis of the Constitution into a character which there is a host of proofs was not contemplated by its creators.” – James Madison in letter to James Robertson
“[Congressional jurisdiction of power] is limited to certain enumerated objects, which concern all the members of the republic, but which are not to be attained by the separate provisions of any.” – James Madison, Federalist 14
“The powers delegated by the proposed Constitution to the federal government are few and defined . . . to be exercised principally on external objects, as war, peace, negotiation, and foreign commerce.” – James Madison, Federalist 45
If Congress can do whatever in their discretion can be done by money, and will promote the General Welfare, the Government is no longer a limited one, possessing enumerated powers, but an indefinite one, subject to particular exceptions.” – James Madison, 1792
“The Constitution allows only the means which are ‘necessary,’ not those which are merely ‘convenient,’ for effecting the enumerated powers. If such a latitude of construction be allowed to this phrase as to give any non-enumerated power, it will go to every one, for there is not one which ingenuity may not torture into a convenience in some instance or other, to some one of so long a list of enumerated powers. It would swallow up all the delegated powers, and reduce the whole to one power, as before observed” – Thomas Jefferson, 1791
“Congress has not unlimited powers to provide for the general welfare, but only those specifically enumerated.” – Thomas Jefferson, 1798
There you have it. James Madison, the Constitution’s author and Thomas Jefferson the author of the Declaration of Independence, specifically say that Congressional powers are to be limited and defined – unlike most modern interpretations!
Admittedly, Jefferson and Madison were not our only Founders. These two were strict constitutionalists who feared the potential strength of any government. So let’s look at another Founder’s opinion—Alexander Hamilton who historically saw it in a somewhat looser vain.
“This specification of particulars [the 18 enumerated powers of Article I, Section 8] evidently excludes all pretension to a general legislative authority, because an affirmative grant of special powers would be absurd as well as useless if a general authority was intended.” – Alexander Hamilton, Federalist 83
Hamilton uncategorically states that all congressional powers are enumerated and that the very existence of these enumerations alone makes any belief that Congress has full and general legislative power to act as it desires nonsensical. If such broad congressional power had been the original intent, the constitutionally specified powers would have been worthless. In other words, why even enumerate any powers at all if the General Welfare clause could trump them?
“No legislative act … contrary to the Constitution can be valid. To deny this would be to affirm that the deputy is greater than his principal; that the servant is above his master; that the representatives of the people are superior to the people themselves; that men acting by virtue of powers may do not only what their powers do not authorize, but what they forbid.” – Alexander Hamilton, Federalist 78
In short, Hamilton tells us that since the powers of Congress are enumerated and limit Congress to those powers, any assumed authority outside those specified that don’t have a direct relation to those explicit powers must be contrary to the Constitution and therefore — unconstitutional.