An orthodontic fixture system includes a tap, a screw, a tool, and fixation wire. In a method of orthodontic fixation, a user manipulates the tool to drive the tap and screw. The tap is configured to first make a threaded hole in only a proximal wall of an alveolus bone. The screw is configured for firm insertion in the proximal wall of the alveolus bone through the hole made with the tap and to abut an inner surface of the distal wall of the alveolus bone in a non-damaging manner. The screw and fixation wire include cooperating structures to enable a user to readily apply both tension and torsional forces via mutual engagement of the screw and fixation wire and thus to one or more orthodontic elements attachable to patient teeth.