(a) Positions determined by the Director of Personnel to be under the Education System shall be placed in appropriate grades of that schedule in accordance with the following provisions:
(b) Supervisory and administrative positions in the professional education, guidance, and library services of the Department of Education shall be classified according to function and difficulty under common titles and the incumbents shall receive the pay differentials set forth in subchapter V of this chapter for such positions. The Director of Personnel after consideration of the views of the Commissioner of Education shall make final determinations with respect to the classification of these positions for pay differential purposes.
(c) The Director of Personnel may, upon the recommendation of the Commissioner of Education, place administrative and professional employees, excluding teachers and principals, in either the General Schedule or the Education Schedule and may transfer such employees from one schedule to the other.