  We apply the new thermodynamical method proposed initially by Hindi. et al
\cite{base} to revisit the phase structure of the AdS black hole in the massive
gravity framework. In comparison to the standard thermodynamical method used in
literature \cite{mass}, we show that this new technical approach can easily
reproduce the critical behavior inherent to this black hole configuration and
addresses some of the shortcomings of the standard method. We also show the
ability of this new perception to find all possible critical points and regions
in which phase transitions occur, an impossible task in the standard method.
