An investigation with teachers in initial training on: sequence of lucas and the numbers of k-Lucas

Authors

  • Ana Maria Silva Guedes
  • Francisco Régis Vieira Alves Instituto Instituto Federal de Educação Ciência e Tecnologia do Estado do Ceará

DOI:

https://doi.org/10.33448/rsd-v8i7.1136

Keywords:

Teaching mathematics; didactic situations; sequences.

Abstract

This work consists of exposing results on the sequence of Lucas and the numbers of k-Lucas as well as the contributions of the French mathematician Édouard Anatole Lucas from a study carried out with students of the discipline of the history of mathematics of the licentiate course in mathematics of the Institute Federal Education Science and Technology of the State of Ceará -IFCE. In order to identify and explore some specific properties of Lucas k-number, the teaching methodology used in the meetings was the didactic situations theory (TSD) and as a research methodology the didactic engineering (ED) phases. The data collected present some properties, as well as mathematical definitions developed by the initial training teachers participating in the study, which added in their professional practices a historical knowledge.

References

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HOGGAT, Jr. V. E. & VENNER, E. (1969). Fibonacci and Lucas Numbers. Santa Clara: Fibonacci Association Publishers.

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MIGUEL, A.; BRITO, A. J.(1996). A história da matemática na formação do professor de matemática. Campinas: Papirus.

Santos, Arlem Atanazio dos. (2017). Engenharia didática sobre o estudo e ensino da fórmula de Binet como modelo de generalização e extensão da sequência de Fibonacci/ Dissertação de mestrado Arlem Atanazio dos Santos- Fortaleza: IFCE.

Published

18/05/2019

How to Cite

GUEDES, A. M. S.; ALVES, F. R. V. An investigation with teachers in initial training on: sequence of lucas and the numbers of k-Lucas. Research, Society and Development, [S. l.], v. 8, n. 7, p. e29871136, 2019. DOI: 10.33448/rsd-v8i7.1136. Disponível em: https://rsdjournal.org/index.php/rsd/article/view/1136. Acesso em: 25 apr. 2024.

Issue

Section

Exact and Earth Sciences