Abstract: An arrangement for influencing the keeping of a driving direction by a motor vehicle, which has at least one non-driven wheel support body which is mounted on a wheel suspension for rotation about an axis, in such a manner as to be able to conduct driver education and/or motor vehicle testing while operating in a border region between stable and unstable driving behavior at relatively low speeds comprises a holding component which is rigidly connected to the wheel support body, and a caster wheel which is mounted on the holding component for rotation about its rotational axis and also for turning about an additional axis which is substantially normal to the axis of the wheel support body and to the rotational axis of the wheel. A connecting device prevents the rotation of the wheel support body about its axis and is connected to a non-rotatable part of the wheel suspension.