Didactic Engineering to Teach Leonardo Sequence: A Study on a Complexification Process in a Mathematics Teaching Degree Course

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 do...

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Bibliographic Details
Published inInternational electronic journal of mathematics education Vol. 16; no. 3; p. em0655
Main Authors Alves, Francisco Regis Vieira, Mangueira, Milena Carolina dos Santos, Catarino, Paula Maria Machado Cruz, Vieira, Renata Passos Machado
Format Journal Article
LanguageEnglish
Published East Sussex International Electronic Journal of Mathematics Education 01.10.2021
Subjects
Addition & subtraction
Cognition & reasoning
Didacticism
Electronic periodicals
Engineering
Epistemology
Foreign Countries
Instructional Effectiveness
Learning
Mathematics education
Mathematics Instruction
Number Concepts
Preservice Teacher Education
Preservice Teachers
Research methodology
Students
Teaching Methods
Brazil
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Summary: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.
ISSN:1306-3030
1306-3030
DOI:10.29333/iejme/11196