This essay will focus on Brazil as a Portuguese possession between 1500 and 1800, with all of the problems that Brazil posed for Portugal and Portugal for Brazil within the framework of that larger unity known as the Portuguese Empire. In order to understand historiographical developments during the last ten years, they must be viewed in light of the general development of the science of history. Since 1960 the number of university students has increased considerably, particularly in Latin America and in Europe, and more specifically in Brazil and France. The number of history students has also increased, although the demand for historians has diminished considerably in the last four or five years. Moreover, students in Europe and Brazil tend to continue into doctoral or pos-graduação programs while in the United States, the number of Ph.D. recipients has also increased for reasons that are not strictly demographic. An expected consequence would be an impressive number of dissertations and theses being defended in universities and, perhaps to a lesser degree, actually published. Such a result has been prevented in the field of the history of colonial Brazil, however, by the fact that the current generation is much more interested in the nineteenth and twentieth centuries than in earlier periods. The advantage of this situation is that as long as the production on the colonial age neither decreases nor increases excessively, it remains quality work and, barring exceptions, is not too affected by the pseudo-marxist language that is extremely popular among certain Brazilian intellectuals. It remains a harmonious blend of genuine scholarship in what might be called the traditional style, and of more innovating accounts inspired by the Annales school that draw on the conceptual approaches and the quantitative concerns of other social sciences. The economic and political concerns are equally represented therein, leaving aside cultural history, which falls outside the field under discussion here.