  f(T) gravity is a generalization of the teleparallel equivalent of general
relativity (TEGR), where T is the torsion scalar made up of the Weitzenb\"{o}ck
connection. This connection describes a spacetime with zero curvature but with
nonvanishing torsion, which fully encodes the gravitational phenomena. We will
present recent results in f(T) gravity related with the issue of the degrees of
freedom of the theory. In particular, we discuss the recent finding that f(T)
gravity has one extra degree of freedom compared with TEGR, which was concluded
through a detailed Hamiltonian analysis of the constraint structure of the
theory. The physical interpretation of this result at the level of the trace of
the equations of motion and its comparison with the f(R) case is discussed.
