TEACHING OF GEOMETRIC PROBABILITY FROM FRACTALS AND PROBLEM SOLVING

Authors

  • José Marcos Lopes Universidade Estadual Paulista "Júlio de Mesquita Filho"
  • José Antonio Salvador Universidade Federal de São Carlos
  • Inocêncio Fernandes Balieiro Filho Universidade Estadual Paulista "Júlio de Mesquita Filho"

DOI:

https://doi.org/10.14244/19827199500

Abstract

In this paper we present a pedagogical proposition for geometric probability teaching using fractals. For that, some problems were elaborated with the objective of guiding the students in the construction of the geometrical probability concept. Firstly, the problems have the purpose of teaching mathematics. The problems were elaborated with the use of fractals, like Sierpinski’s triangle. After the work with the problems, the teacher must systematize the concepts that were studied from mathematics formalism and rigor. The themes explored were geometric probability definition and problems that involved the complementary event concept, union of two events and conditional probability concept. In this work, we present original problems that may help high school teachers that work or that wish to work with the geometrical probability concept.

Keywords: Teaching; Geometric Probability; Problem Solving; Fractals and  Sierpinski’s Triangle.


DOI: http://dx.doi.org/10.14244/19827199500

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Author Biography

José Marcos Lopes, Universidade Estadual Paulista "Júlio de Mesquita Filho"

Licenciado em Matemática pela Universidade Estadual Paulista "Júlio de Mesquita Filho" - IBILCE/UNESP - São José do Rio Preto, mestre em Ciências de Computação e Estatística pelo Instituto de Ciências Matemáticas de São Carlos - ICMSC/USP - São Carlos, doutor em Teoria do Controle e Estatística pela Pontifícia Universidade Católica do Rio de Janeiro - PUC/RJ. Atualmente é professor Livre Docente da Universidade Estadual Paulista "Júlio de Mesquita Filho", Campus de Ilha Solteira. jmlopes@mat.feis.unesp.br

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Published

2013-11-14

How to Cite

LOPES, J. M.; SALVADOR, J. A.; BALIEIRO FILHO, I. F. TEACHING OF GEOMETRIC PROBABILITY FROM FRACTALS AND PROBLEM SOLVING. Electronic Journal of Education, [S. l.], v. 7, n. 3, p. 47–62, 2013. DOI: 10.14244/19827199500. Disponível em: https://reveduc.ufscar.br/index.php/reveduc/article/view/500. Acesso em: 22 jul. 2024.

Issue

Vol. 7 No. 3 (2013)

Section

Articles

License

CC-BY-NC License

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##plugins.generic.dates.received## 2012-08-29
##plugins.generic.dates.accepted## 2013-01-22
##plugins.generic.dates.published## 2013-11-14