If, after negotiation has taken place on all matters properly before them, the negotiations councils for the school board and teachers' or administrators' organization are unable to reach agreement on specific negotiable items, they may jointly agree upon the services and person of a mediator for the purpose of assisting them in reconciling their differences and resolving the controversy on terms that are mutually acceptable. If agreement cannot be reached upon the person of a mediator, either party may request mediation upon any and all unresolved issues to be conducted by the American Arbitration Association or its designee. The parties shall meet with the mediator and make such information available as required. (Added 1969, No. 127, § 2, eff. Sept. 1, 1969; amended 2007, No. 82, § 35.)