On Friday, the Republican governor wrote a letter to state education board members offering guidance from the National Association of State Boards of Education.
The fight over control of Indiana's education policy has been escalating throughout the year.
Ritz chairs the board as schools superintendent, but the other board members were appointed by either Pence or former Gov. Mitch Daniels. Pence's creation of a new education agency prompted Ritz to accuse the governor of a "complete takeover" of education.