Ohio Rev. Code § 3301.06
A vacancy in the state board of education may be caused by death, nonresidence, resignation, removal from office, failure of a person elected to qualify within ten days after the organization of the board or of the person's election, removal from the district of election or from residence in the state, or absence from any two consecutive regular meetings of the board if such absence is caused by reasons declared insufficient by a vote of twelve members of the board. When a vacancy occurs in the office of an elected member, the governor shall, within a period of thirty days and with the advice and consent of the senate, appoint a qualified person residing in the district in which the vacancy occurred to fill the vacancy until the next general election at which members of the state board of education are elected, at which time a qualified elector residing in the district in which the vacancy occurred shall be elected for the unexpired term. Such member shall assume office at the next succeeding meeting of the board. When a vacancy occurs in the office of an appointed member, the governor shall, within a period of thirty days and with the advice and consent of the senate, appoint a qualified person to serve the remainder of the term.
R.C. §3301.06