The board shall maintain a list of qualified persons employed by the division of administrative hearings created by section 10A.801 and who are experienced in the educational system of this state to serve as administrative law judges when a hearing is requested under section 279.24. When requested under section 279.24, the board shall submit a list of five qualified administrative law judges from the list maintained by the board to the parties. The parties shall select one of the five qualified persons to conduct the hearing as provided in section 279.24. The hearing shall be held pursuant to the provisions of chapter 17A relating to contested cases. The full costs of the hearing shall be shared equally by the parties.