The Wealth of Nations by Part 5 Chapter 1 Page 244

It does not appear that the state ever assumed any inspection or direction of them. By a law of Solon, indeed, the children were acquitted from maintaining those parents in their old age who had neglected to instruct them in some profitable trade or business.

In the progress of refinement, when philosophy and rhetoric came into fashion, the better sort of people used to send their children to the schools of philosophers and rhetoricians, in order to be instructed in these fashionable sciences. But those schools were not supported by the public. They were for a long time barely tolerated by it. The demand for philosophy and rhetoric was for a long time so small that the first professed teachers of either could not find constant employment in any one city, but were obliged to travel about from place to place.