NUMERIC SEQUENCES AND FRACTALS: A POSSIBLE CONNECTION?

Authors

  • José Carlos Pinto Leivas Centro Universitário Franciscano de Santa Maria Programa de Pós-Graduação em Ensino de Ciência e Matemática
  • Bárbara Regina da Silveira Batista

DOI:

https://doi.org/10.19177/prppge.v14e252020221-236

Keywords:

Numeric sequences, Fractal Snowflake of Koch, Calculus, Mathematics investigation.

Abstract

This article is a fragment of a master's research, whose purpose was to investigate the contributions of the use of fractal representation, when used for the introduction of numerical sequences, can be obtained with future teachers in Mathematics? The fragment presented here consists of an analysis of a pilot project, developed in a workshop with three university professors, in order to glimpse errors and correctness before its application. It was used an initial questionnaire to the teachers with the purpose of identifying their formation, concluding that all have formation in Mathematics, two act in Calculus and one in Basic Education. The construction of the Koch Snowflake fractal, with the activities involving numerical sequences, areas and perimeters, allowed us to conclude that it is possible to use such a construction to introduce the subject in the disciplines of Calculus in an encouraging way.

Author Biographies

  • José Carlos Pinto Leivas, Centro Universitário Franciscano de Santa Maria Programa de Pós-Graduação em Ensino de Ciência e Matemática

    Licenciado em Matemárica pela UCPEL

    Especialista em Análise Matemática pela UFPEL

    Mestre em Ensino de Ciências e Matemática pela UFSC

    Doutor em Educação (Matemática) pela UFPR

    Prof. do Programa de Pós-Graduação em Ensino de Ciências e Matemática da UNIFRA

    Prof. Titular aposentado da FURG

    Coordenador do GT4 - Ensino Superior da SBEM

    Editor da Revista Vidya

    Lider do GEPGEO - Grupo de Estudos e Pesquisas em Ensino de Geometria

  • Bárbara Regina da Silveira Batista
    Mestre em Ensino de Matemática pela UNIFRA

Published

2020-08-26

Issue

Section

Artigos de Demanda Contínua