I. There is hereby established the department of education, an agency of the state under the executive direction of a commissioner of education.
II. The department of education, through its officials, shall be responsible for the following general functions:
(a) Providing general supervision for elementary and secondary schools, teachers and administrators.
(b) Providing a variety of educational services to schools and particular groups.
(c) Providing vocational rehabilitation and social security disability determination services for persons with disabilities.