What is a Dynamical R-Matrix?

The concept of an R-Matrix has its origins in the theory of integrable systems and encountered an adequate mathematical interpretation in the theory of Hopf algebras and quantum groups where it plays a fundamental role in stimulating decisively the development of this area. Here we present recent results about an extension of this concept, the so-called dynamical R-matrix discussing it in the context of one of the most traditional classes of integrable models in mechanics - the Calogero models.