A cutting horse trainer uses a transport device which rides on a rail of the fence of a pen. The transport device can be positioned behind the fence of a pen. The transport device is moved along the rail responsive to commands from a handheld remote control device. A pulley engaged with the rail is linked to an artificial calf, which is extended into the pen via a hinged arm. As the transport unit moves along the rail, the pulley coupled to the rail causes the artificial calf to rotate accordingly. Thus, during changes in direction, the calf appears to be turning, from the viewpoint of the cutting horse. When not in use, the arm can be folded upwards to remove any apparatus associated with the cutting horse trainer from the pen.