Order of putting on tallit and tefillin

In the Talmudic and post-Talmudic periods the tefillin were worn by rabbis and scholars all day, and a special tallit was worn at prayer; hence they put on the tefillin before the tallit, as appears in the order given in "Seder Rabbi Amram Gaon" (p. 2a) and in the Zohar. In modern practice, however, the opposite order is considered more "correct". Based on the Talmudic principle of tadir v'she'ayno tadir, tadir qodem, (תדיר ושאינו תדיר, תדיר קודם: lit., frequent and infrequent, frequent first), when one performs more than one mitzva at a time, those that are performed more frequently should be performed first. While the tallit is worn daily, tefillin are not worn on the Sabbath and holidays.

The Kabbalists considered the tallit as a special garment for the service of God, intended, in connection with the tefillin, to inspire awe and reverence for God at prayer (Zohar, Exodus Toledot, p. 141a). The tallit is worn by all male worshipers at the morning prayer on week-days, Shabbat, and holy days; by the hazzan (cantor) at every prayer while before the ark; and by the reader of Torah, as well as by all other functionaries during the Torah service.