Ir al contenido

Documat


En busca de una manera conectada de saber: el caso de una profesora de matemáticas

  • Autores: Cecilia Agudelo Valderrama, Diana Martínez
  • Localización: REICE: Revista Iberoamericana sobre Calidad, Eficacia y Cambio en Educación, ISSN-e 1696-4713, Vol. 13, Nº. 3, 2015, págs. 121-141
  • Idioma: español
  • DOI: 10.15366/reice2015.13.3.006
  • Enlaces
  • Resumen
    • español

      En este artículo describimos momentos claves del proceso de pensamiento y aprendizaje que una profesora desarrolló en búsqueda de posibles conexiones entre los conceptos de pendiente de una recta y densidad de la materia; ofrecemos, al mismo tiempo, ilustraciones de dificultades con el conocimiento del contenido matemático. Este estudio de caso surge en el contexto del Proyecto PROMICE que incorporó un Programa de Aprendizaje Profesional (PAP). PROMICE apoyó la formación de equipos de trabajo conformados por profesores de matemáticas y de ciencias escolares, con el propósito de diseñar innovaciones de aula que promovieran la creación de conexiones entre matemáticas y ciencias. Las �preguntas inquietantes� que le surgieron a esta profesora durante los talleres de la Etapa de Inducción del PAP se convirtieron en el motor que la mantuvo involucrada activamente en un proceso de aprendizaje, en búsqueda de una comprensión más profunda, esto es, de una manera conectada de saber matemáticas � lo que contrastaba con el conocimiento fragmentado y compartimentalizado que, según ella, había caracterizado su aprendizaje de las matemáticas escolares. Proporcionamos ilustraciones de unos primeros pasos en la construcción de comprensión matemática que pueden convertirse en base importante para el desarrollo del conocimiento de las matemáticas para su enseñanza.

    • English

      In this paper we offer illustrations of a mathematics teacher�s difficulties with content knowledge when trying to find connections between school mathematics and science. The paper is based on a sub-study that is part of a larger Colombian project, PROMESA (Creating Science and Mathematics Connected Learning Experiences that Open Opportunities for the Promotion of Algebraic Reasoning), which incorporated a Professional Learning Programme (PLP) seeking to integrate school science and mathematics teachers into working teams, in order to create science and mathematics connected learning experiences that considered the promotion of algebraic reasoning. The �challenging questions� which emerged for this teacher, during the workshops of the Induction Stage of the PLP, became the driving force for her continued engagement in learning mathematics content in a connected way, as opposed to the compartmentalised content-item thinking she had experienced as a school student. We provide illustrations of first steps in the development of a teacher�s mathematical understanding which can support growth of mathematical knowledge for teaching

  • Referencias bibliográficas
    • Agudelo-Valderrama, C. y Vergel, R. (2009a). Informe final del Proyecto PROMICE. Promoción de un enfoque interdisciplinario y de resolución...
    • Agudelo-Valderrama, C. y Vergel, R. (2009b). La apertura del aula de ciencias para promover el desarrollo del pensamiento algebraico: el caso...
    • Ball, D.L., Lubienski, S. y Mewborn, D. (2001). Research on teaching mathematics: The unsolved problem of teachers’ mathematical knowledge....
    • Barr, G. (1981). Some student ideas on the concept of gradient. Mathematics in School, 10(1), 14- 17.
    • Basista, B. y Mathews, S. (2002). Integrated science and mathematics professional developmnet programs. School Science and Mathematics, 102(7),...
    • Birgin, O. (2012). Investigation of eight-grade students’ understanding of slope of the linear function. Bolema, 26(42), 139-162.
    • Czerniac, C., Weber, W., Sandman, A. y Ahern, J. (1999). A literature review of science and mathematics. Integration, School Science and Mathematics,...
    • Dawkins, D., Dickerson, D., McKinney, S. y Butler, S. (2008). Teaching density to middle school students: Pre-service science teachers’ content...
    • Department of Education and Early Childhood Development. (2013). Principles of Learning and Teaching P-12. Recuperado de http://www.education.vic.gov.au/
    • Dole, S., Clarke, D., Wright, T. y Hilton, G. (2009). Developing year 5 students understanding of density: implications for mathematics teaching....
    • Ernest, P. (1989). The knowledge, beliefs and attitudes of the mathematics teacher: a model. Journal of Education for Teaching, 15(1), 13-33.
    • Frykholm, J. y Glasson, G. (2005). Connecting science and mathematics instruction: pedagogical context knowledge for teachers. School Science...
    • Glaser, B. y Strauss, A. (1967). The discovery of grounded theory. Chicago, IL: Aldine Publishing Co.
    • Hill, H.C., Ball, D.L. y Schilling, S.G. (2008). Unpacking pedagogical content knowledge: Conceptualizing and measuring teachers’ topic-specific...
    • Hill, H.C., y Ball, D.L. (2004). Learning mathematics for teaching: Results from California’s mathematics professional development institutes....
    • Lamon, S. (1999). Teaching fractions and ratios for understanding: essential content knowledge and instructional strategies for teachers....
    • Ma, L. (1999). Knowing and teaching elementary mathematics: teachers’ understanding of fundamental mathematics in China and the United States....
    • MacGegor, M. y Stacey, K. (1995). The effect of different approaches to algebra on student perceptions of functional relationships. Mathematics...
    • Michelsen, C. (2005). Expanding the domain: variables and functions in an interdisciplinary context between mathematics and physics. En A....
    • Michelsen, C. y Sriraman, B. (2009). Does disciplinary instruction raise students’ interest in mathematics and the subjects of the natural...
    • Ministerio de Educación Nacional. (1998a). Lineamientos curriculares de ciencias naturales y educación ambiental. Bogotá: Magisterio.
    • Ministerio de Educación Nacional. (1998b). Lineamientos curriculares de matemáticas. Bogotá: Magisterio.
    • Ministerio de Educación Nacional. (2006). Estándares básicos de competencias en lenguaje, matemáticas, ciencias y ciudadanas. Bogotá: Magisterio.
    • Moschkovich, J. (1996). Moving up and getting steeper: negotiating shared descriptions of linear graphs. The Journal of the Learning Sciences,...
    • National Council of Teachers of Mathematics. (1989). Curriculum and Evaluation Standards for School Mathematics. Reston, VA: National Academy...
    • National Council of Teachers of Mathematics. (2000). Principles and Standards for School Mathematics. Reston, VA: National Academy Press.
    • National Research Council. (1996). The National Science Education Standards. Washington D.C.: National Academy Press.
    • Roach, L. (2001). Exploring students’ conceptions of density. Journal of College Science Teaching, 30(6), 386-389.
    • Sierpinska, A. (1994). Understanding in Mathematics. Londres: The Falmer Press.
    • Singh, P. (2000). Understanding the concepts of proportion and ratio constructed by two grade six students. Educational Studies in Mathematics,...
    • Smith, C., Maclin, D., Grosslight, L. y Davis, H. (1997). Teaching for understanding: A study of students’ preinstruction theories of matter...
    • Steen, L.A. (1999). Does everybody need to study algebra? In B. Moses (Ed.), Algebraic thinking grades K-12: readings from NCTM's school...
    • Stump, S. (2001). High school precalculus students’ understanding of slope as a measure. School Science and Mathematics, 101(2), 81-89.
    • Stump, S. (1997). Secondary mathematics teachers’ knowledge of the concept of slope. Comunicación presentada en el The annual meeting of the...
    • Westbrook, S. (1998). Examining the conceptual organization of students in an integrated algebra and physical science class. School Science...
    • Woodbury, S. (1998). Rhetoric, reality, and possibilities: interdisciplinary teaching and secondary mathematics. School Science and Mathematics,...
    • Yin, R.K. (2003). Case study research: design and methods. Thousand Oaks, CA: Sage Publications, Inc.
    • Zaslavsky, O., Sela, H. y Leron, U. (2002). Being sloppy about slope: the effect of changing the scale. Educational Studies in Mathematics,...
    • Zohar, A. (2006). Connected knowledge in science and mathematics education. International Journal of Science Education, 28(13), 1579-1599.

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno