Ir al contenido

Documat


La toma de decisiones de futuros maestros de primaria al interactuar con el pensamiento algebraico de niños

  • Pinto, Eder [1] ; Piñeiro, Juan Luis ; Cortés, Camila ; Martínez-Videla, María Victoria
    1. [1] Universidad de O'Higgins

      Universidad de O'Higgins

      Rancagua, Chile

  • Localización: Pensamiento educativo: revista de investigación educacional latinoamericana, ISSN-e 0717-1013, ISSN 0719-0409, Vol. 61, Nº. 2, 2024 (Ejemplar dedicado a: Hacia una formación docente basada en la práctica)
  • Idioma: español
  • DOI: 10.7764/PEL.61.2.2024.3
  • Títulos paralelos:
    • The Decision-Making of Prospective Elementary School Teachers in Engaging with Children’s Algebraic Thinking: A Study Conducted in a Video Club
  • Enlaces
  • Resumen
    • español

      En esta investigación se abordó la pregunta: ¿Cómo son las decisiones de futuros profesores de primaria (FP) al considerar el pensamiento algebraico de niños de 9 años? Se partió de un tipo específico de noticing para describir las decisiones de 21 FP al observar las estrategias empleadas por 3 niños para resolver la igualdad 6+4=+5. Los FP participaron en un curso de seis sesiones sobre enseñanza y aprendizaje del álgebra basado en el análisis de videos como vía para aproximarse a la práctica docente. Centrándose en las sesiones 1 y 2, se examinaron las respuestas escritas de los FP ante dos situaciones distintas. Los principales resultados muestran que, aunque las decisiones de los FP a menudo carecían de evidencias, sus razonamientos coincidían con aspectos específicos del pensamiento algebraico y la investigación tratada durante el curso. Finalmente, se identificaron dos posturas adoptadas por los FP al decidir: a) aritmética, centrada en los cálculos que deben seguir los niños, y b) relacional, enfocada en la relación de operaciones mediante el signo igual. Se discutió sobre el rol del noticing y el análisis de videos como herramientas para aproximar a FP a la práctica de enseñar álgebra en la educación primaria.

    • English

      In this study, we focus on addressing the research question: How do prospective elementary school teachers make decisions when considering the algebraic thinking of 9-years-old children? Specifically, we describe how 21 prospective primary teachers make decisions regarding the strategies employed by three children to solve the open equality 6+4=+5. The prospective teachers participated in a Video Club and we focused the first two sessions, during which the participants responded to two questions intended to guide their decisions, one being more general and the other more specific. We conducted a sequential content analysis of their written responses, following both a deductive and inductive approach. The main findings reveal that, despite the limited use of evidence, the elements considered by prospective teachers when making decisions align with specific aspects of children’s algebraic thinking and related research in this area, which were addressed during the Video Club sessions. Finally, we found that prospective teachers make decisions following two approaches: (a) arithmetic, which focuses on sequentially referencing the procedures children should follow to complete the blank space, and (b) relational, which is centered on how children relate operations to each other with the equal’s sign.

  • Referencias bibliográficas
    • Blanton, M. L., Brizuela, B. M., Stephens, A., Knuth, E., Isler, I., Gardiner, A. M., Stroud, R., Fonger, N. L., & Stylianou, D. (2018)....
    • Choy, B. H. & Dindyal, J. (2020). Teacher noticing, mathematics. In M. A. Anders (Ed.), Encyclopedia of teacher education (pp. 1860-1864)....
    • Darling-Hammond, L. & Bransford, J. (2005). Preparing teachers for a changing world. What teachers should learn and be able to do. The...
    • Fernández, C., Llinares, S., & Valls, J. (2012). Learning to notice students’ mathematical thinking through on-line discussions. ZDM-Mathematics...
    • Fowler, S., Cutting, C., Fiedler, S. H. D., & Leonard, S. N. (2022). Design-based research in mathematics education: Trends, challenges...
    • Grossman, P. (2018). Teaching core practices in teacher education. Harvard Education Press. Hohensee, C. (2017). Preparing elementary prospective teachers...
    • Jacobs, V. R. & Empson, S. B. (2016). Responding to children’s mathematical thinking in the moment: An emerging framework of teaching...
    • Jacobs, V. R. & Spangler, D. A. (2017). Research on core practices in K-12 mathematics teaching. In J. Cai (Ed.), Compendium for research...
    • Jacobs, V. R., Franke, M. L., Carpenter, T. P., Levi, L., & Battey, D. (2007). Professional development focused on children’s algebraic...
    • Jacobs, V. R., Lamb, L., & Philipp, R. (2010). Professional noticing of children’s mathematical thinking. Journal for Research in Mathematics...
    • Jacobs, V. R., Lamb, L., Philipp, R., & Schappelle, B. (2011). Deciding how to respond on the basis of children’s understandings. In M....
    • Jacobs, V. R., Philipp, R. A., & Sherin, M. G. (2018). Noticing of mathematics teachers. En Lerman, S. (Ed.) Encyclopedia of mathematics...
    • Kaput, J. (2008). What is algebra? What is the algebraic reasoning? In J. Kaput, D. W. Carraher, & M. L. Blanton (Eds.), Algebra in the...
    • Kleinknecht, M. & Schneider, J. (2013). What do teachers think and feel when analyzing videos of themselves and other teachers teaching?...
    • König, J., Santagata, R., Scheiner, T., Adleff, A.-K., Yang, X., & Kaiser, G. (2022). Teacher noticing: A systematic literature review...
    • Krupa, E., Huey, M., Lesseign K., Casey, S., & Monson, D. (2017). Investigating secondary preservice teacher noticing of students’ mathematical...
    • Kuckartz, U. (2019). Qualitative text analysis: A systematic approach. In G. Kaiser & N. Presmeg (Eds.), Compendium for early career researchers...
    • León, O. & Montero, I. (1998). Diseño de investigaciones. Mcgraw Hill.
    • Llinares, S. (2019). Enseñar matemáticas como una profesión. Características de las competencias docentes. Cuadernos de investigación y formación...
    • Mason, J. (2016). Perception, interpretation, and decision making: Understanding gaps between competence and performance—a commentary. ZDM-Mathematics Education,...
    • Mason, J. (2020). Learning about noticing, by, and through, noticing. ZDM-Mathematics Education, 53, 231-243. https://doi.org/10.1007/s11858-020-01192-4
    • Molina, M. (2009). Una propuesta de cambio curricular: integración del pensamiento algebraico en educación primaria. PNA, 3(3), 135-156. https://doi.org/10.30827/pna.v3i3.6186
    • NCTM (National Council of Teachers of Mathematics). (2014). Principles to actions: Ensuring mathematical success for all. National Council...
    • Pinto, E., Ayala-Altamirano, C., Molina, M., & Cañadas, M. C. (2023). Desarrollo del pensamiento algebraico a través de la justificación...
    • Santagata, R. (2009). Designing video-based professional development for mathematics teachers in low-performing schools. Journal of Teacher...
    • Santagata, R. & Angelici, G. (2010). Studying the impact of the lesson analysis framework on preservice teachers’ abilities to reflect...
    • Schack, E., Fisher, M., Thimas, J., Eisenhardt, S., Tassell, J., & Yoder, M. (2013). Prospective elementary school teachers’ professional...
    • Schifter, D. (2011). Examining the behavior of operations: Noticing early algebraic ideas. In M. G. Sherin, V. R. Jacobs & R. Philipp...
    • Schoenfeld, A. H. (2011). Noticing matters. A lot. Now what? In M. G. Sherin, V. R. Jacobs & R. A. Philipp (Eds.), Mathematics teacher...
    • Star, J. R. & Strickland, S. K. (2008). Learning to observe: Using video to improve preservice mathematics teachers’ ability to notice....
    • Star, J. R., Lynch, K., & Perova, N. (2011). Using video to improve preservice mathematics teachers' abilities to attend to classroom...
    • Stephens, A. C. (2006). Equivalence and relational thinking: Preservice elementary teachers’ awareness of opportunities and misconceptions....
    • Tanisli, D. & Kose, N. Y. (2013). Pre-service mathematic teachers’ knowledge of students about the algebraic concepts. Australian Journal...
    • Van Es, E. A., Cashen, M., Barnhart, T., & Auger, A. (2017). Learning to notice mathematics instruction: Using video to develop preservice...
    • Van Es, E. A. & Sherin, M. G. (2010). The influence of video clubs on teachers’ thinking and practice Elizabeth. Journal of Mathematics...
    • Walkoe, J., Walton, M., & Levin, M. (2022). Supporting teacher noticing of moments of algebraic potential. Journal of Educational Research...
    • Zapatera, A. (2019). Descriptores del desarrollo de la mirada profesional en el contexto de la generalización de patrones. Bolema: Boletim...

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno