A method is described for monitoring and wirelessly signaling data that contains information on the pressure states prevailing in tires of wheels. In the method, electronic modules that are arranged in the wheels wirelessly transmit the data to a control device which is arranged in the vehicle. No data is transmitted during a first mode associated with a standstill state of the vehicle, while the respective electronic module transmits the data to the control device in the form of telegrams during at least one other mode associated with another state of the vehicle, the transition from a first mode into at least one other mode being determined by means of at least one acceleration sensor.