This paper suggests some elements for the development of graduate programs in geography in the field of critical social science. It discusses the notion of geographic space that has been dominant in the academic work done in Latin America, emphasizing the limits of an approach that considers only the physical dimension of space. In order to better prepare academic groups to face the challenge of a contemporary world, the author proposes to work in three interrelated areas of knowledge: rethinking the notion of space, the geography of power and territorial management.