Method and system, for which can be used in the fields of medicine and dentistry as well as for the most varied types of material working in different areas of application and model working, provides that an exact removal of material or a highly precise, reproducible material working can be realized by acquiring, storing and processing data pertaining to position and/or orientation of an effector and their changes relative to the position of at least one reference body. The effector is controlled and/or regulated with regard to its power and/or parameterization based on a predetermined working volume, material volume removed and remaining material volume. A first marking support with markings is arranged on a handpiece with the effector, where the handpiece is connected to a control unit, and a second marking support with markings is attached to the material object or tissue object.