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Problemas de fracciones formulados por futuros profesores: Algunas características

    1. [1] Universidad de La Laguna

      Universidad de La Laguna

      San Cristóbal de La Laguna, España

  • Localización: Investigación en Educación Matemática XXV / coord. por Teresa Fernández Blanco Árbol académico, Cristina Núñez García, María Consuelo Cañadas Santiago Árbol académico, José Antonio González-Calero Somoza Árbol académico, 2022, ISBN 978-84-09-45038-1, págs. 295-304
  • Idioma: español
  • Títulos paralelos:
    • Preservice teacher posing fraction problems: Some characteristics
  • Enlaces
  • Resumen
    • español

      Se presentan los resultados de un estudio sobre formulación de problemas de fracciones por parte de futuros profesores de Educación Primaria. Se analizan 52 problemas formulados por 18 futuros profesores, desde tres perspectivas: 1) plausibilidad del enunciado; 2) demanda cognitiva; y 3) significado y estructura matemática. Los resultados indican que los futuros profesores participantes en este estudio presentan un alto número de problemas plausibles, con demanda cognitiva en la categoría “aplicar”, en los que predomina el significado de fracción parte-todo y operador y, mayoritariamente, de estructura aditiva. Los significados de cociente y razón, y la estructura multiplicativa son muy poco frecuentes cuando formulan problemas.

    • English

      This study is about posing fraction problems by future Primary Education teachers. We analyze 52 problems posed by 18 future teachers, from three perspectives: 1) plausibility of the statement; 2) cognitive demand; and 3) meaning and mathematical structure. Results indicate that the future teachers present a high number of plausible problems, in which the meaning of fraction part-whole and operator predominate and, mostly, additive structure. But, the meanings of quotient and reason, and the multiplicative structure are very rare when they pose problems.

  • Referencias bibliográficas
    • Behr, M., Harel, G., Post, T. y Lesh, R. (1993). Rational numbers: Toward a semantic analysis -emphasis on the operator construct. En T. Carpenter,...
    • Cai, J. y Hwang, S. (2020). Learning to teach mathematics through problem posing: Theoretical considerations, methodology, and directions...
    • Cai, J., Hwang, S., Jiang, C. y Silber, S. (2015). Problem-Posing Research in Mathematics Education: Some Answered and Unanswered Questions....
    • Chapman, O. (2015). Mathematics teachers’ knowledge for teaching problem solving. LUMAT: International Journal on Maht, Science and Technology...
    • Charalambous, C. y Pitta-Pantazi, D. (2007). Drawing on a theoretical model to study students’ understandings of fractions. Educational Studies...
    • Crespo, S. (2003). Learning to pose mathematical problems: Exploring changes in preservice teachers’ practices. Educational Studies in Mathematics,...
    • Crespo, S. (2015). A collection of problem-posing experiences for prospective mathematics teachers that make a difference. En F.M. Singer,...
    • Ellerton, N. (2013). Engaging pre-service middle-school teacher-education students in mathematical problem posing: Development of an active...
    • Grundmeier, T. A. (2015). Developing the problem-posing abilities of prospective elementary and middle school teachers. En F. M. Singer et...
    • Isik, C. y Kar, T. (2012). An error analysis in division problems in fractions posed by pre-service elementary mathematics teachers. Educational...
    • Kilic, C. (2015). Analyzing pre-service primary teachers’ fraction knowledge structures through problem posing. Eurasia Journal of Mathematics,...
    • Kilpatrick, J., Swafford, J. y Findell, B. (Eds) (2001). Adding it up: Helping children learn mathematics. National Academy Press.
    • Leavy, A. y Hourigan, M. (2020). Posing mathematically worthwhile problems: Developing the problem-posing skills of prospective teachers....
    • Lee, M. Y. (2017). Pre-service teachers’ flexibility with referent units in solving a fraction division problem. Educational Studies in Mathematics,...
    • Leung, S. y Silver, E. A. (1997). The role of task format, mathematics knowledge, and creative thinking on the arithmetic problem posing of...
    • Ma, L. (1999). Knnowing and teaching elementary mathematics: Teachers’ understanding of fundamental mathematics in China and the United States....
    • Mullis, I. V. S., Martin, M. O. y von Davier, M. (2021). TIMSS 2023 Assessment Frameworks. En I. V. S. Mullis, M. O. Martin y M. von Davier....
    • Olson, J. C. y Knott, L. (2013). When a problem is more than a teacher’s question. Educational Studies in Mathematics, 83(1), 27-36.
    • Piñeiro, J. L., Castro-Rodríguez, E. y Castro, E. (2019). Conocimiento sobre los estudiantes como resolutores de problemas manifestado por...
    • Real Decreto 157/2022, de 1 de marzo, por el que se establecen la ordenación y las enseñanzas mínimas de la Educación Primaria. Boletín Oficial...
    • Singer, F. M., Ellerton, N. y Cai, J. (2013). Problem-posing research in mathematics education: new questions and directions. Educational...
    • Singer, F. M., Ellerton, N. y Cai, J. (Eds.) (2015). Mathematical problem posing. From research to effective practice. Springer.
    • Schoenfeld, A. (1992). Learning to think mathematically: Problem solving, metacognition, and sense making in mathematics. En D. A. Grouws...
    • Stanic, G. M. A. y Kilpatrick, J. (1988). Historical perspectives on problem solving in the mathematics curriculum. En R. I. Charles y E....
    • Stickles, P. R. (2011). An analysis of secondary and middle school teachers’ mathematical problem posing. Investigations in Mathematics Learning,...
    • Torregrosa, A., Albarracín, L. y Deulofeu, J. (2021). Resolución e invención de problemas: la estrategia de resolución con relación al...
    • Xie, J. y Masingila, J. O. (2017). Examining interactions between problem posing and problem solving with prospective primary teachers: A...

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