Depends on the system being utilized. As I favor decentralized planning using a limited monetary system with state organization, I'll talk from this. The idea is that organizations of technicians and scientists would decide on what is to be produced and with what elements, taking in count the principles of sustainability and resource manageament over mere monetary calculation. This in turn helps eradicating planned obsolescence, which is a real problem under capitalism. The end comes with a democracy of producers and consumers—including facilities like schools, universities, hospitals and such, in which the professionals there decide on the actions and are paid according to their contribution—, so that quality on production can be afforded with a limited decrease on resource waste by eliminating non-essential industries (like the advertising industry, the production of "new generation technology" that is almost the same as the old, et cetera). This frees space for constant production on more relevant things, like education and healthcare.
Notice that decentralized economic planning, at least on the very micro scale, works very similarly to how the market does, as it's a decentralized system with negotiation involved in all parts of the exchange.
For how would socialism aim to organize schools, this is good to start with, though I do not agree with some of it: http://www.socialistalternative.org/save-our-schools/socialist-program-education/
True, but it wouldn't be nearly as pronunciated.