This book is the result of the inter-institutional research project carried out by the Catholic University of Colombia and the University of La Salle. It presents an inter-institutional proposal for the improvement of tutorials as an academic support strategy for the tutoring programs in the areas of Mathematics and Chemistry of both universities. For achieving this, during a period of five years, a mixed research methodology was used. It began with the characterization of the programs based on the review of different documents, as well as the institutional results, and the articulation of these with the theory that founded them. It was found that the two departments of Basic Sciences have understood the tutoring sessions as a space for academic accompaniment in which they seek to improve the academic performance of students, and this as an indicator of learning. This support has been categorized, in both cases, by promoting actions related to the creation of a culture of autonomous work in students and one of participation from teachers. Subsequently, a comparative analysis was carried out between the implemented strategies. And, finally, the incidence of the academic accompaniment strategies was evaluated from the perspective analysis of the academic community.