  In general relativity, the only dynamical field describing the gravitational
interaction of matter, is the metric. It induces the causal structure of
spacetime, governs the motion of physical bodies through its Levi-Civita
connection, and mediates gravity via the curvature of this connection. While
numerous modified theories of gravity retain these principles, it is also
possible to introduce another affine connection as a fundamental field, and
consider its properties - curvature, torsion, nonmetricity - as the mediators
of gravity. In the most general case, this gives rise to the class of
metric-affine gravity theories, while restricting to metric-compatible
connections, for which nonmetricity vanishes, comprises the class of Poincar\'e
gauge theories. Alternatively, one may also consider connections with vanishing
curvature. This assumption yields the class of teleparallel gravity theories.
This chapter gives a simplified introduction to teleparallel gravity, with a
focus on performing practical calculations, as well as an overview of the most
commonly studied classes of teleparallel gravity theories.
