No person under twelve years of age shall operate a snowmobile on or across a public roadway or highway in this state, and no person between the ages of twelve and sixteen years of age shall operate a snowmobile on or across a public road or highway in this state unless he or she has taken a snowmobile safety education course and been certified as qualified to operate a snowmobile by an instructor designated by the commission as qualified to conduct such a course and issue such a certificate, and he or she has on his or her person at the time he or she is operating a snowmobile evidence of such certification: PROVIDED, That persons under sixteen years of age who have not been certified as qualified snowmobile operators may operate a snowmobile under the direct supervision of a qualified snowmobile operator.