Bibliographical aspects in research on the concepts of infinity, limit, and derivative

Abstract

The conceptual evolution from an educational perspective makes us identify different obstacles to the construction of concepts such as infinity and the concept of limit, the difficulties that students have to understand these concepts lead us to ask ourselves a series of questions that are part of the work of research in mathematics education, in this article the review of 15 selected articles is exposed, it begins with the exposition of the methods and instruments to select and search for the materials. Later the selected articles are listed, placing them in categories of analysis according to the depth of the aspect of investigation of each article finally, the results are presented, and situations found are argued combining different results, to present conclusions and perspectives that can be explored on the subject in the future.