The responsibility for education rests with each state. Unfortunately the federal goverment made a power grab when they formed HEW 50 years ago. They have only grabbed more power since that time.
The states should not be involved in education either. All public schools should be turned over to private education companies (a whole new industry). This would eliminate about 50-60% of state & local taxes, and give parents and students complete freedom to choose how education dollars are spent.
Now, a leftist, collectivist, socialist, or Democrat will say in response that parents can't be trusted with making decisions about where to send the kids to school, for how long, what to learn, or how much to pay. The same anti-capitalists are in favor of price controls, wage controls, production controls, thought control, and violation of private property rights.