A Progressão Geométrica presente nos Fractais: Uma proposta de ensino por meio da Modelagem Matemática

Abstract

This work aims to present a proposal for teaching source code progressions using fractals present in nature. The idea arose from experiences during the period of regency in internship activities, through workshops for integrated high school classes at the Federal Institute of Bahia - Campus Salvador. Research points to the difficulties of high school students in generalizing patterns based on observation and reinforces that teachers should think of alternatives to revert this in the classroom. The use of fractals in the classroom leads the student to arouse curiosity, develop creativity and increase playfulness. With that in mind, a teaching proposal for the interpretation of progressions was developed through modeling that starts from the observation of fractals present in nature. The proposal follows the successive mathematical modeling steps of interaction, mathematization and mathematical model, protected by Biembengut [1]. From the proposal created, it is concluded that in addition to enhancing the teaching of grain progressions, bringing another problematic thought to reality, fractals give meaning to the teaching of grain progressions.