  A brief review of our recent studies aiming at a better understanding of the
scaling behaviour of polymers in disordered environments is given. The main
emphasis is on a simple generic model where the polymers are represented by
(interacting) self-avoiding walks and the disordered environment by critical
percolation clusters. The scaling behaviour of the number of conformations and
their average spatial extent as a function of the number of monomers and the
associated critical exponents $\gamma$ and $\nu$ are examined with two
complementary approaches: numerical chain-growth computer simulations using the
PERM algorithm and complete enumerations of all possible polymer conformations
employing a recently developed very efficient exact counting method.
