Production of Meanings about Linear Systems through the Flow of Electric Current: a Didactic Situation

Authors

  • Maria Alice Veiga Ferreira de Souza Instituto Federal do Espírito Santo
  • Sotério Ferreira de Souza Universidade Federal do Espírito Santo
  • Luciano Lessa Lorenzoni Instituto Federal do Espírito Santo
  • Oscar Luiz Teixeira de Rezende Instituto Federal do Espírito Santo

DOI:

https://doi.org/10.37467/gka-revedu.v3.595

Keywords:

Linear Systems, Didactic Situation, Electric Current

Abstract

The content of linear systems integrates the resolution of many problems, notably in Engineering. Despite its learning starts in previous school years, engineering students have shown deficits meanings necessary for application and later, decision-making to use this mathematical tool in academic-scientific-professional contexts. After the diagnosis of learning linear systems, limited to mechanized calculations off of interpretations that should be associated with the numerical results for these students, we investigated the favor of a didactic situation to deepen this knowledge and to bring to the foreground, the meanings useful for use with greater autonomy in the light of theoretical assumptions of Brousseau. To this end, it was proposed to thirty-six students, organized in groups of two and three members, the study of the flow of electric current in a circuit prepared for them, from which emerged a linear system studied and interpreted by the students through the teaching situation proposal. Qualitative research revealed that all subjects produced advanced school meant for it to be a linear system and their uses, revealing thus a viable didactic situation for the persecuted educational goals.

References

Anton, H. A., e Rorres, C. (2001). Álgebra linear com aplicações . Porto Alegre: Bookman.

Brousseau, G. (1996). Fundamentos e Métodos da Didáctica da Matemática. In: BRUN, J. Didática das Matemáticas (Trad. de Maria José Figueiredo) (pp. 35-113). Lisboa: Instituto Piaget.

Brousseau, G. (1997). Theory of didactical situations in mathematics: didactique dês mathématiques, 1970-1990. Dordrecht: Kluwer Academic Publishers.

Brousseau, G. (1998). Théories des situation didactiques. Grenoble: La penseé Sauvage.

Carlen, E. A. e Carvalho, M. C. (2009). Álgebra linear: desde o início (Trad. José Rodolfo Souza). Rio de Janeiro: LTC.

Douady, R. (1985). Didactique des Mathématiques. Encyclopedia Universalis, pp.885-889.

Gálvez, G. A. (1996). A Didática da Matemática. In: C. Parra e I. Saiz, Didática da Matemática: reflexões psicopedagógicas (pp. 26-35). Porto Alegre: Artmed.

Lüdke, M. e André, M. E. D. (1986). Pesquisa em Educação: abordagens qualitativas. São Paulo: EPU.

Piaget, J. (1976). A equilibração das estruturas cognitivas: o problema central do desenvolvimento (Trad. de Marion Merlone dos Santos Penna). Rio de Janeiro: Zahar.

Piaget, J. (1990). Epistemologia genética. São Paulo: Martins Fontes.

Piaget, J. (1998). Para onde vai a educação? (Trad. de Ivette Braga). Rio de Janeiro: José Olympio.

Poole, D. (2004). Linear Algebra: a modern introduction. São Paulo: Pioneira Thomson Learning.

Souza, M. A. V. F. de. (2013). Sistemas lineares na Engenharia: conceito, significados e situação didática. Enseñanza de las Ciencias, v.extra, pp.3656-3661.

Souza, M. A. V. F. de e Simmer, L. M. (2013). Sistemas lineares: do ensino médio às engenharias. Acta Latinoamericana de Matemática Educativa, Buenos Aires, Argentina, 27, julho.

Viana, A. (2015). Os mesmos problemas do ensino médio, tudo de novo... Cálculo: Matemática para todos, 5 (50), pp. 14-23.

Published

2015-11-03

How to Cite

Veiga Ferreira de Souza, M. A., Ferreira de Souza, S., Lessa Lorenzoni, L., & Teixeira de Rezende, O. L. (2015). Production of Meanings about Linear Systems through the Flow of Electric Current: a Didactic Situation. EDU REVIEW. International Education and Learning Review / Revista Internacional De Educación Y Aprendizaje, 3(2). https://doi.org/10.37467/gka-revedu.v3.595

Issue

Section

Research articles