  Many professional physicists do not fully understand the implications of the
Einstein equivalence principle of general relativity. Consequently, many are
unaware of the fact that special relativity is fully capable of handling
accelerated reference frames. We present results from our nationwide survey
that confirm this is the case. We discuss possible origins of this
misconception, then suggest new materials for educators to use while discussing
the classic twin paradox example. Afterwards, we review typical introductions
to general relativity, clarify the equivalence principle, then suggest
additional material to be used when the Einstein equivalence principle is
covered in an introductory course. All of our suggestions are straightforward
enough to be administered to a sophomore-level modern physics class.
