(a) To administer the laws of this Commonwealth relating to vocational education, industrial education, agricultural education, and household arts education, as defined in said laws;

(b) To investigate the need for and aid in the establishment of, supervise, inspect, and approve, for the purpose of reimbursement on the part of the State, schools, departments, and courses, for agricultural, industrial, commercial, and home economics, mining, and other vocational and practical education, as well as continuation schools, when maintained as a part of the public school system of the Commonwealth;

(c) Out of the funds appropriated to it by the General Assembly for the purpose, to pay for the education of deaf and blind children, residents of Pennsylvania, in schools which afford vocational training to such children, to make appropriate rules and regulations for the admission of State pupils to such schools, and to supervise the education of State pupils in any such schools.