  We introduce a new class of two dimensional gravity models using ideas
motivated by the Teleparallel Equivalent of General Relativity. This leads to a
rather natural formulation of a theory that has close links with
Jackiw-Teitelboim gravity. After introducing the theory and discussing its
vacuum solutions, we present the Hamiltonian analysis. This implies the
presence of a single dynamical degree of freedom, which is in sharp contrast to
General Relativity, where there are no degrees of freedom in two spacetime
dimensions. Our approach can be extended to various other lower-dimensional
gravity theories and thus could be of wider interest.
