Notwithstanding any other provision of law or special provision applicable to a particular institution, a member of the governing board of an institution of higher learning as defined in § 59-103-5 must attend at least two-thirds of the regular and special meetings of the board during any calendar year or a vacancy in that office is deemed to exist as of January first of the next year which shall be filled in the manner provided by law. The chairman of that board when a violation of this section occurs shall report the violation to the appointing or electing authority within thirty days after the close of the calendar year in which the violation occurred. The member of the governing board who missed such meetings thereby causing the vacancy is ineligible for reelection or reappointment to that board for a period of ten years thereafter.