The Federal Department of Education was formed as a sop to the Teachers' unions that quadrennially provide massive money and in-kind donations to whatever goober the Democrats put up for President.
Since no Federal department ever actually dies, the Dept of Education should model itself on the FBI and how it helps local law enforcement. It provides research, technical support, and consultation to local law enforcement because they are better positioned to provide those services.
The Education Department could sponsor research on education methods, course content, standardized tests, management practices and who knows what else.