  We review different approaches to the Hamiltonian analysis of teleparallel
theories of gravity. In particular the Hamiltonian analysis for $f(\mathbb{T})$
theories led to disputed results in the literature. The aim of this review is
to relate the different notations and assumptions in the different approaches
in a comprehensive way, so that they can be compared more easily. To do this we
present the primary constraints of the $f({\mathbb{T}_{\textrm{NGR}}})$ gravity
class of theories for the first time. The particular cases studied in the
literature, $f(\mathbb{T})$ gravity and new general relativity, are contained
in this parent theory. We compare their Hamiltonian analyses done by different
authors in the literature among each other by relating them to our analysis of
$f({\mathbb{T}_{\textrm{NGR}}})$ in detail.
