The invention comprehends the use of a bracket having a non-conforming base portion, mountable to a tooth in a preestablished position and angular orientation through the formation of an associated contoured shim, and a head portion symmetrically opposite to the base portion, the head portion having a slot therein adapted and oriented to receive a conventional dental arch wire. A fixture is formed to fit over a tooth replica on which a bracket and shim is affixed, this fixture having an internal cavity which matches the shape and contour of the tooth, such as lingual surface, incisal edge and the labial surface, and includes the head portion of the bracket so as to align the conforming surface of the contoured shim with the same anatomical tooth surface as the labial or lingual surface matched by the fixture. The contoured shim formed to surround the non-conforming surface of the base of the bracket completes the matching of the appropriate labial or lingual surface of the tooth. The fixture may be rigid and of a material which can be changed to a non-rigid state upon application of a state-changing medium thereto. A secondary appliance, essentially like the fixture, may be formed over the fixture so as to be easily removed therefrom and from the bracket. Removal of the fixture, and, as appropriate, the appliance, from the bracket and shim is performed after the fixture with the bracket and shim mounted therein is assembled to a tooth and the bracket and shim are bonded thereto.