After a final determination of discharge under this act by an appointing authority, any teacher or other person employed in the public school system of the Commonwealth who believes himself aggrieved by such determination may appeal on the record from the determination by an application in writing to the Superintendent of Public Instruction of the Commonwealth within twenty days after receiving written notice of such determination. The superintendent shall set a time and place for the hearing of the appeal, which hearing shall be not more than thirty (30) days after receipt thereof, and give due notice of said hearing to the appellant and to the appointing authority whose determination is under review. The hearing shall be held by the superintendent or by a person or persons, not exceeding three, designated by the superintendent in writing to hear the appeal in his behalf. The superintendent, in his discretion, may designate such person or persons to hear such appeal and to report to him. The persons so designated by the superintendent may be officers or employes of the civil service of the Commonwealth. The person or persons holding the hearing may make such inquiry as may be deemed advisable. Within sixty (60) days after the hearing on appeal, the superintendent shall affirm or reverse the findings and determination under review, and, in the case of reversal, shall order the reinstatement of the appellant, who shall be entitled to back pay from the date of his discharge.