UMA ABORDAGEM DO ENSINO DE SEQUENCIAS NÚMERICAS

Abstract

The present study deals with a proposal of numerical sequence approach to secondary education in which the purpose was to present the theme in a broad way and to assist the teacher in the presentation of the subject and to the student who wants to deepen in the study of content. Initially it was discussed about historical facts relevant to the study of the theme, showing how it was always present and its importance for society. In addition to the subjects usually dealt with in the textbooks, such as arithmetic and geometric progressions, topics relevant to the study and deepening of the subject were discussed as first and second order linear recurrences, second order arithmetic progressions, harmonic progressions and Fibonacci sequences, with formalization of the demonstrations and several examples that illustrate the object of study and facilitate understanding. We also present several problems that can contribute to the learning of the subject, which besides dealing with numerical sequences open the opportunity to review other subjects of mathematics and other disciplines. Finally, we present a suggestion of teaching methodology, the methodology of problem solving, that can help the teacher in the preparation of his classes aiming at an effective learning in his students.