One mistake that many people make, including me, is to equate education to school. Of course schools are only one of many institutions involved in education. A graduate school of education ought to be concerned about all of those institutions which transmit what the culture, or some part of the culture, values sufficiently that it wants its young people to have. For example, I want you to buy something, but in the course of trying to sell it to you, I may teach you lots of other things, for example how to mount a persuasive argument. That entails a hidden curriculum.
Education entails many disciplines.
There's certainly a lot of knowledge and lore over the millennia about how you transmit culture. Indeed if you go back to the Bible and Confucius, you discover education is cumulative in that sense. But education is also a metadiscipline. It's a discipline which is so to speak parasitic to many other disciplines. I don't think particularly to its benefit.