A method of monitoring the movements of an individual in and around buildings, rooms and other spaces, where each individual carries a passive transponder which has an individual-unique identity and which is for co-action with an active antenna that is connected, either directly or indirectly, to a monitoring center for transmitting signals received from transponders, and where a plurality of antennas are placed in and around the buildings, rooms or other spaces to be monitored. The signals transmitted to the exercise center are used to show movements of the individual in the form of a three-dimensional animated picture on a picture screen.