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Alves, Francisco Regis Vieira; Mangueira, Milena Carolina dos Santos; Catarino, Paula Maria Machado Cruz; Vieira, Renata Passos Machado – International Electronic Journal of Mathematics Education, 2021
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…
Descriptors: Foreign Countries, Number Concepts, Mathematics Instruction, Preservice Teacher Education
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Alves, Francisco Regis Vieira; Vieira, Renata Passos Machado; Catarino, Paula Maria Machado Cruz – International Electronic Journal of Mathematics Education, 2020
In this work, recurrent and linear sequences are studied, exploring the teaching of these numbers with the aid of a computational resource, known as Google Colab. Initially, a brief historical exploration inherent to these sequences is carried out, as well as the construction of the characteristic equation of each one. Thus, their respective roots…
Descriptors: Educational Technology, Technology Uses in Education, Geometric Concepts, Numbers
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Alves, Francisco Regis Vieira; Machado Vieira, Renata Passos – International Electronic Journal of Mathematics Education, 2020
The work deals with the study of the roots of the characteristic polynomial derived from the Leonardo sequence, using the Newton fractal to perform a root search. Thus, Google Colab is used as a computational tool to facilitate this process. Initially, we conducted a study of the Leonardo sequence, addressing it fundamental recurrence,…
Descriptors: Mathematical Concepts, Teaching Methods, Visualization, Educational Technology