Analytical method and rational functions, is the practical application, framed within the positivist paradigm, which determines a method as a solution alternative that drives to improve the learning of algebra, optimizing the academic level of future teachers; the described, is the result of a research work presented at the National University Hermilio Valdizán and, presented in book form.The pages detail the procedure of an investigation; the results presented, tabulated by means of statistics, which helps researchers as a practical guide; where they develop the investigation in a pertinent manner.