A model for helping teachers reflect on the mathematical activity they promote in their classes

Authors

  • Sandra Evely Parada IPN
  • Olimpia Figueras IPN
  • François Pluvinage IPN

Keywords:

The teaching of mathematics, reflective model, mathematical activity, reflection, teaching formation.

Abstract

This document communicates the development of a qualitative investigation which main objective is to help math teachers reflect on their students’ mathematical activity in class. It then proposes a model of reflection that makes it easier for them to analyze some specific aspects of their teaching practice. The article presents the structure of the model, which is applied in three case studies, and reveals some of the results of the reflective process in one of them.

 

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Author Biographies

Sandra Evely Parada, IPN

Master of Science, specialty in educational mathematics, doctoral student of the Department of Educational Mathematics (DME), Center for Research and Advanced Studies of the National Polytechnic Institute. (Cinvestav-IPN), Mexico.

Olimpia Figueras, IPN

Dr. Professor of the DME, Cinvestav-IPN.

François Pluvinage, IPN

Dr. IREM from Strasbourg, France, & DME-Cinvestav-IPN.

References

Chevallard, Y., 1991, “Dimension instrumentale, dimension sémiotique de l’activité Mathématique”, Séminaire de Didactique des Mathématiques et de l’Informatique de Grenoble, Grenoble, France, LSD2, IMAG, Université Joseph Fourier.

Dewey, J., 1989, Cómo pensamos. Nueva exposición de la relación entre pensamiento reflexivo y proceso educativo. Barcelona, Paidós.

Fiol, M. A., 1999, “Aplicaciones de la teoría de matrices en matemática discreta”, Departamento de Matemática Aplicada y Telemática, Universidad Politécnica de Catalunya, Universidad Politécnica de Catalunya, [en línea], disponible en: https://upcommons.upc.edu/e-prints/bitstream/2117/729/1/Llull.pdf, consulta: 11 de febrero de 2009.

Ibáñez, C., 2007, “Un análisis crítico del triángulo pedagógico. Una propuesta alternativa”, Revista Mexicana de Investigación Educativa, vol. 2, núm. 32, pp. 435-456.

Llinares, S., 2000, “Intentando comprender la práctica del profesor de matemáticas”, en: J. P. da Ponte y L. Serrazina, coords., Educação matemática em Portugal, Espanha e Italia, Lisboa, Portugal, Secção de Educação Matemática da Sociedade Portuguesa de Ciências da Educação, pp. 109-132.

Parada, S., 2009, “Reflexión sobre la práctica profesional: actividad matemática promovida por el profesor en su salón de clases”, tesis de maestría, Centro de investigación y estudios avanzados del Instituto Politécnico nacional, México.

Ponte, J. P., 2000, A investigação o professor de Matemática Problemas e perspectivas, Seminario Internacional de pesquisa em edução matemática, promovido pela SBEM, São Paulo, Brasil.

Robert, A. y Rogalski, J., 2005, “A cross-analysis of the mathematics teacher’s activity. An example in a French 10th-grade class”, Educational Studies in Mathematics, núm. 59, pp. 269-298.

Schön, D., 1992, La formación de profesionales reflexivos, Buenos Aires, Paidós.

Shulman, L. S., 1987, “Knowledge and teaching: Foundations of the new reform”. Harvard Educational Review, vol. 57, núm. 1, pp. 1-22.

Treffers, A., 1987, Three dimensions: A model of goal and theory description in mathematics education: The Wiskobas Project, Dordrecht, Kluwer Academic Publishers.

Published

2011-04-25

How to Cite

Evely Parada, S., Figueras, O., & Pluvinage, F. (2011). A model for helping teachers reflect on the mathematical activity they promote in their classes. Revista Educación Y Pedagogía, 23(59), 85–102. Retrieved from https://revistas.udea.edu.co/index.php/revistaeyp/article/view/8695