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Different possibilities to learn from the same task.

  • Autores: Angelika Kullberg, Ulla Runesson, Pernilla Mårtensson
  • Localización: PNA: Revista de investigación en didáctica de la matemática, ISSN-e 1887-3987, Vol. 8, Nº. 4, 2014, págs. 139-150
  • Idioma: inglés
  • DOI: 10.30827/pna.v8i4.6113
  • Títulos paralelos:
    • Diferentes posibilidades para aprender con una misma tarea.
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  • Resumen
    • español

      En este artículo nos centramos en la variación del diseño y la implementación de una tarea específica durante tres sesiones de clase de matemáticas en octavo grado en un estudio de aprendizaje (Marton y Tsui, 2004; Runesson, 2008). El tema de las clases fue la división con un divisor entre 0 y 1. Los profesores querían que sus estudiantes entendieran que, cuando se divide por un divisor menor que 1, el cociente es mayor que el numerador. Cuatro profesores colaboraron, en un proceso cíclico, en la planificación, análisis y revisión de las tres sesiones de clase. El estudio muestra que la implementación de la tarea cambió entre las sesiones. A pesar de utilizarse la misma tarea en las sesiones, la manera en que se implementó proporcionó diferentes posibilidades para aprender.

    • English

      In this paper we focus on variation of the design and the implementation of a specific task during three mathematics lessons in the 8th grade in a learning study (Marton & Tsui, 2004; Runesson, 2008). The theme of the lesson was division, with a denominator between 0 and 1. The teachers wanted their students to understand that when dividing with a denominator less than 1, the quotient is larger than the numerator. Four teachers collaboratively planned, analyzed and revised three lessons in a cyclic process. The study shows that the implementation of the task changed between the lessons. Although the same task was used in the lessons, the way it was enacted provided different possibilities to learn.

  • Referencias bibliográficas
    • Al-Murani, T. (2007). The deliberate use of variation to teach algebra: A realistic variation study. Unpublished doctoral dissertation, University...
    • Dienes, Z. P. (1960). Building up mathematics. London, United Kingdom: Hutchinson Educational.
    • Fernández, C. (2005). Lesson study: A means for elementary teachers to develop the knowledge of mathematics needed for reform-minded teaching?...
    • Gibson, J. J., & Gibson, E. J. (1955). Perceptual learning: Differentiation -or enrichment? Psychological Review, 62(1), 32-41.
    • Greer, B. (1992). Multiplication and division as models of situations. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching...
    • Hiebert, J., & Wearne, D. (1997). Instructional tasks, classroom discourse and student learning in second grade arithmetic. American Educational...
    • Kullberg, A. (2010). What is taught and what is learned. Professional insights gained and shared by teachers of mathematics. Göteborg, Sweden:...
    • Lewis, C., Perry, R., & Murata, A. (2006). How should research contribute to instructional improvement? The case of lesson study. Educational...
    • Marton, F., & Pang, M. F. (2006). On some necessary conditions of learning. The Journal of the Learning Sciences, 15(2), 193-220.
    • Marton, F., & Pang, M. F. (2013). Meanings are acquired from experiencing differences against a background of sameness, rather than from...
    • Marton, F., Runesson, U., & Tsui, A. B. (2004). The space of learning. In F. Marton & A. B. Tsui (Eds.), Classroom discourse and the...
    • Marton, F., & Tsui, A. B. (2004). Classroom discourse and the space of learning. Mahwah, NJ: Erlbaum.
    • Pang, M. F., & Marton, F. (2005). Learning theory as teaching resource: Enhancing students, understanding of economics concepts. Instructional...
    • Runesson, U. (2008). Learning to design for learning. The potential of learning study to enhance learning on two levels: Teacher's and...
    • Runesson, U., Kullberg, A., & Maunula, T. (2011). Sensitivity to student learning - a possible way to enhance teachers' and students'...
    • Stigler, J., & Hiebert, J. (1999). The teaching gap: Best ideas from the world´s teachers for improving education in the classroom. New...
    • Sun, X. (2010). “Variation problems” and their roles in the topic of fraction division in Chinese mathematics textbook examples. Educational...
    • Watson, A., & Mason, J. (2006). Seeing exercise as a single mathematical object: Using variation to structure sense-making. Mathematical...
    • Verschaffel, L., Greer, B., & De Corte, E. (2007). Whole number concepts and operations. In F. K. J. Lester (Ed.), Second handbook of...
    • Zaslavsky, O., & Sullivan, P. (Eds.). (2011). Constructing knowledge for teaching secondary mathematics. London, United Kingdom: Springer.

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