Abstract: In a front and rear wheel steering system for steering rear wheels of a vehicle at a certain ratio to front wheels of the vehicle, the rear wheel steering angle is determined according to the steering input and/or the operating conditions of the vehicle, additionally, taking into account the kind of the particular tires that are being used. In particular, it is advantageous to distinguish between normal tires and studless tires as they demonstrate significantly different properties. The kind of tires can be identified either by computing the frictional coefficient of the road surface or by a manual switch. Thus, the handling of the vehicle can be kept unchanged without regard to the kind of the tires that are being used.