In this report of the proceedings of the Fifth Symposium prominent world physicists give an account of the status of the understanding of nuclear structure in the mass region from A=20 to A=60. Ten invited papers cover various aspects of nuclear structure from both the theoretical and the experimental points of view. Additionally, four short papers presenting formal comments are included, along with the edited discussions following the readings of the papers. Two topics are treated in particular: the long-awaited application of polarized beams to the study of nuclear structure is reviewed, with results from Stanford University; and a technique is described, that makes it possible for the first time to observe directly the decay of nuclear states.