A tool for insertion into a surgical saw includes a holder area for the saw and a head which is movable in oscillation by the surgical saw along a work direction where the head has a plurality of teeth which are arranged behind one another in the work direction. A first and second tooth each contains a first shaving surface for shaving off bone material oriented transversely to the work direction and a second pressing surface for pressing on bone material which pressing surface adjoins the shaving surface. The shaving surface, in relation to the work direction, is more inclined than the pressing surface. The two teeth are oriented with their shaving surface and pressing surface opposite each other so during oscillation the shaving surface of the tooth lying ahead in work direction and the pressing surface of the tooth lying therebehind in work direction are in operation.