An apparatus (22) is attachable to a conventional snowboard (24) to convert the snowboard (24) into a snow scooter (20) having improved performance characteristics in comparison to those of the snowboard (24) alone. The apparatus (22) includes a member movable relative to the snowboard (24) by either the hands or feet of the rider, and forces and motions applied to that member by the rider are converted by an associated motion and force transmitting mechanism (32) into twisting motions of the rear portion (23) of the snowboard (24) relative to the front portion (21) of the snowboard (24), allowing the scooter rider to better perform turns and other maneuvers during the riding of the scooter (20) and also allowing the rider to ride the snow scooter (20) without foot bindings fixing his feet to the scooter (20).