Função: Concepções daquele que ensina e daquele que aprende

Authors

  • Rogério Fernando Pires Universidade Estadual de Santa Cruz
  • Benedito Antonio da Silva Pontifícia Universidade Católica de São Paulo

Keywords:

function, operational conception, structural conception, concept image, concept definition, teacher knowledge

Abstract

This article is the result of a study that aimed to investigate how teachers conceive of the concept of function, how this conception reflects on his work in the classroom and how this concept is understood by students. The theoretical assumptions that underlay ideas were Sfard (1991, 1992), Vinner (1992) and Tardif (2011). A qualitative research study, with the participation of one hundred twenty-eight students from two public high schools and a public university located in the state of São Paulo and ten teachers in these three institutions. The data collection instrument consisted of activities for all students participating in two distinct phases, a questionnaire on the profile of teachers and interviews with these teachers. The results showed that much of what is done by the student is a reflection of teacher practice, and furthermore, that the high school students' conceptions transiting between operational and structural, being very present to pseudoestrutural design; in Higher Education has unveiled the designs were very close structural, however, could not identify the reification of the concept. 

Author Biographies

Rogério Fernando Pires, Universidade Estadual de Santa Cruz

Doutor em Educação Matemática e Peofessor Visitante do departamento de Ciências Exatas e Tecnologias da Universidade Estadual de Santa Cruz - Bahia

Benedito Antonio da Silva, Pontifícia Universidade Católica de São Paulo

Doutor em Matemática e Professor Titular do Programa de Estudos Pós-Graduadaos em Educação Matemática da PUC-SP.

References

DUVAL, R. Semiósis e pensamento humano: registro semiótico e aprendizagens intelectuais. Tradução de Lênio Fernandes Levy e Marisa Rosâni Abreu da Silveira. São Paulo: Livraria da Física, 2009.

PIRES, R. F. Função: Concepções de professores e estudantes dos ensinos Médio e Superior. 2013. 439 f. Tese (Doutorado em Educação Matemática) – Pontifícia Universidade Católica de São Paulo, São Paulo, 2014.

SÃO PAULO. Secretaria de Estado da Educação. Caderno do professor: Ensino Médio. 1.ª série. São Paulo: SEE, 2009. v. 2.

SFARD, A. On the Dual Nature of Mathematical Conceptions: Reflections on process as different sides of the some coin. Education Studies in Mathematics. v. 22 , n. 1 N, Londres, 1991.

SFARD, A. Operational Origins of Mathematical Objects and the quandary of reification – The case of function. In: DUBINSKY, E.; HAREL, G. (Ed.). The concept of function – Aspects of epistemology and pedagogy, MAA Notes 25, pp. 59-84, 1992.

SIERPINSKA, A. On understanding the notion of function. In: DUBINSKY, E.; HAREL, G. (Ed.). The concept of function – Aspects of epistemology and pedagogy, MAA Notes 25, pp. 25-58, 1992.

TARDIF, M. Saberes docentes e formação profissional. Tradução de Francisco Pereira. 12. ed. Petrópolis, RJ: Vozes, 2011.

VINNER, S. The function concept as a prototype for problems in mathematics learning. In: DUBINSKY, E.; HAREL, G. (Ed.). The concept of function – Aspects of epistemology and pedagogy, MAA Notes 25, pp. 195-214, 1992.

Published

2015-03-31

How to Cite

Pires, R. F., & Silva, B. A. da. (2015). Função: Concepções daquele que ensina e daquele que aprende. Em Teia | Revista De Educação Matemática E Tecnológica Iberoamericana, 5(3). Retrieved from https://periodicos.ufpe.br/revistas/emteia/article/view/2194

Issue

Section

ARTIGOS