The procedures to deduce the incompressibility modulus of nuclear matt
er, K-0, from the measured energies of the Isoscalar Giant Monopole Re
sonances, E(GMR), are critically reviewed. A simple model is developed
in which the isoscalar density oscillations in finite nuclei are desc
ribed as being due to the coupling of two modes: the bulk (scaling) mo
de and the surface mode. Two energy solutions are obtained for the cou
pled mode: the low energy solution, which is presumably the one observ
ed experimentally, and the high energy one, well above the range of th
e present experiments.