The investigation of dynamic properties of polymeric materials near the glass transition is one of the most important topics in the field of amorphour materials. Many theories were proposed in order to rationalize  the dependence  of dynamics on temperature , pressure and ageing time. In this paper we briefly review recent works where the thermodynamic theory of Adam and Gibbs  was successfully applied to reproduce dynamic properties in polymeric systems above and below the glass transition and we discuss the main points of the debate in progress concerning the applicability of the theory.