The intermediate unit board of directors may direct the executive director to call a convention to be held between February 1 and June 30 for the purpose of electing members to the intermediate unit board of directors, for consideration and discussion of matters pertaining to the improvement of education in the schools within the intermediate unit, and for such other business as may properly come before the convention. In addition, the intermediate unit board of directors may call into special convention the school directors of all school districts comprising an intermediate unit at any time for the consideration of business which may properly come before a special convention. On petition of a majority of the school districts comprising the intermediate unit for a special convention for a stated purpose relating to proper business of the intermediate unit, including the election of members to the intermediate unit board of directors, the intermediate unit board of directors shall direct the executive director to call into special convention the school directors of all school districts comprising the intermediate unit for consideration of such stated purpose or election: Provided, That petitions for a convention to elect members of the intermediate unit board of directors must be received by the secretary of the intermediate unit board of directors no later than February 1. Notice to each such district director shall be given at least five days prior to such special convention.