Author/Authors :
alves, francisco regis vieira instituto federal de educação, ciência e tecnologia do estado do ceará (ifce), BRAZIL , alves, francisco regis vieira bosista pelo conselho nacional de desenvolvimento científico e tecnológico (cnpq) - bolsista de produtividade do conselho nacional de desenvolvimento científico e tecnológico, brazil , mangueira, milena carolina dos santos bosista pelo conselho nacional de desenvolvimento científico e tecnológico (cnpq), BRAZIL , mangueira, milena carolina dos santos instituto federal de educação, ciência e tecnologia do estado do ceará (ifce), BRAZIL , catarino, paula maria machado cruz universidade de trás-os-montes e alto douro(utad), PORTUGAL , vieira, renata passos machado instituto federal de educação, ciência e tecnologia do estado do ceará(ifce), BRAZIL
Abstract :
This paper presents a study based on didactic engineering and the theory of didactical situations on the complexification of the Leonardo sequence, addressing its numbers in a two-dimensional way, with the insertion of the imaginary unit i. This study is an excerpt from a masters’ thesis research done in the postgraduate programme in science and mathematics teaching of the Federal Institute of Ceará. It was conducted via Google Meet in an initial teacher education class in History of Mathematics. We will present a problem situation based on the research and the teaching methodologies assumed in it to evaluate the students’ investigative and intuitive side faced with the situation presented. We assessed the results according to the methodologies used and carried out an internal validation. Thus, we concluded that the students could build their knowledge themselves, becoming protagonists of this construction and obtaining an evolutionary understanding of the Leonardo sequence.
Keywords :
didactic engineering , theory of didactical situations , history of mathematics , Leonardo sequence , complexification
