This document consists of the first two volumes of a new annual serial devoted to surveying some of the important developments in the mathematical sciences in the previous year or so. Mathematics is constantly growing and changing, reaching out to other areas of science and helping to solve some of the major problems facing society. Volumes 1 and…

This paper first evaluates discipline classification schemes and general differences between disciplines associated with the natural sciences and those associated with the humanities. It then reviews research which either asked students how professors in these fields teach, observed teachers in their classrooms, or asked students to describe their…