Didactic Engineering to Teach Leonardo Sequence: A Study on a Complexification Process in a Mathematics Teaching Degree Course
Francisco Regis Vieira Alves 1 2 * , Milena Carolina dos Santos Mangueira 1 3, Paula Maria Machado Cruz Catarino 4, Renata Passos Machado Vieira 1
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1 Instituto Federal de Educação, Ciência e Tecnologia do Estado do Ceará – IFCE, BRAZIL2 Bolsista de Produtividade do Conselho Nacional de Desenvolvimento Científico e Tecnológico - CNPq – PQ2, BRAZIL3 Bosista pelo Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), BRAZIL4 Universidade de Trás-os-Montes e Alto Douro – UTAD, PORTUGAL* Corresponding Author

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.

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

INT ELECT J MATH ED, 2021, Volume 16, Issue 3, Article No: em0655

https://doi.org/10.29333/iejme/11196

Publication date: 31 Aug 2021

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Article Downloads: 535

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