Cryptography as an educational tool in counting techniques for high school

Cryptography as an educational tool

Authors

DOI:

https://doi.org/10.31686/ijier.vol10.iss5.3743

Keywords:

Counting techniques, Cryptography, High school

Abstract

This paper aims to analyze the feasibility of implementing a didactic sequence for the teaching and learning process of Combinatorial Analysis, using Cryptography as an educational tool for High School. For this, a project was applied in the second semester of 2017, lasting 26 class hours, in a class of the 2nd year of high school, composed of 22 students from a public school in the interior of São Paulo State - Brazil. This teaching proposal appropriated Didactic Engineering as a Research methodology, which enabled the development of a didactic sequence. This in turn was divided into six steps, which approached counting techniques, without the use of formulas, through the encryption of binary numbers, Caesar's code and the encryption present in the film: The Da Vinci Code. This study was exposed by students participating in the project at the school's Science Fair. In order to analyze the learning evolution of the participating students, a pre-test and a post-test were applied, which presented a satisfactory evolution in the students learning. It was also possible to realize, during the project application, the improvement and development of the skills of: teamwork, self-confidence, oratory, time management and autonomy in the pursuit of knowledge.

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References

ALMOULOUD, S. A.; SILVA, M. J. F. Engenharia Didática: Evolução e Diversidade. Revista Revemat, Florianapóles, v. 7, n. 2. 2012. Disponível em: <http://dx.doi.org/10.5007/1981-1322.2012v7n2p22> Acesso em 15 ago. 2017. DOI: https://doi.org/10.5007/1981-1322.2012v7n2p22

ARTIGUE, M. Engenharia Didática. In: BRUN, J. Didática das Matemáticas. Tradução de: Maria José Figueiredo. Lisboa: Instituto Piaget, 1996. Cap. 4. p. 193-217.

BERENGUER, M. I. S. A Aplicação da Engenharia Didática no Ensino das Ciências Exatas. 2010. 36 f. Monografia (Especialização) – Instituto a Vez do Mestre, Universidade Candido Mendes, Rio de Janeiro.

Cantoral, R. et al. Desarrollo del pensamiento matemático. México, Trillas: ITESM, Universidade Virtual, 2000.

CARVALHO, P. C. P. Métodos e contagem e probabilidade. 11º Ed. Rio de Janeiro. IMPA, 2015

GERY, F. W. Does mathematics matter? In: WELCH, A. (ed.). Research papers in economic education. New York: Joint Council on Economic Education, 1972. p. 142-157.

JESUS, A. L. N. Criptografia na educação básica: utilização da criptografia como elemento motivador para o ensino aprendizagem de matrizes. 2013. 82f. Dissertação (Mestrado profissional em Matemática em Rede Nacional) – Universidade Federal do Vale do São Francisco, Juazeiro.

MACHADO, S. D. A. Engenharia Didática. In: MACHADO, S. D. A. (org.). Educação Matemática: Uma introdução. 2 ed. São Paulo: Educ., 2002. p. 197-208.

MORGADO, A. C. O. et al. Análise Combinatória e Probabilidade. 9. ed. Rio de Janeiro: Graftex, 1991.

PAIS, L. C. Didática da Matemática – Uma análise da influência francesa. 2.ed. Belo Horizonte: Autêntica, 2005.

PANNUTI, M.R.V. Caminhos da prática pedagógica. TVE Brasil. Rio de Janeiro, p. 01- 05, jun. 2004.

ROA, R. e NAVARRO-PELAYO, V. Razonamiento Combinatorio e Implicaciones para la Enseñanza de la Probabilidad. Jornadas europeas de estadística, Ilhas Baleares, 10 e 11 de outubro de 2001.

SINGH, S. O Livro dos Códigos: A Ciências do Sigilo - do Antigo Egito à Criptografia Quântica. Rio de Janeiro: Record, 2003.

Published

2022-05-01

How to Cite

Vidal, S. C., Capri, M. da R., & Romão, E. C. (2022). Cryptography as an educational tool in counting techniques for high school: Cryptography as an educational tool. International Journal for Innovation Education and Research, 10(5), 76-88. https://doi.org/10.31686/ijier.vol10.iss5.3743
Received 2022-03-24
Accepted 2022-04-20
Published 2022-05-01