Cómo reconocen los estudiantes para maestro evidencias del razonamiento up and down en los estudiantes

  1. Buforn Lloret, Àngela 1
  2. Fernández Verdú, Ceneida 1
  1. 1 Universitat d'Alacant
    info

    Universitat d'Alacant

    Alicante, España

    ROR https://ror.org/05t8bcz72

Journal:
Ensayos: Revista de la Facultad de Educación de Albacete

ISSN: 2171-9098,  0214-4824

Year of publication: 2015

Issue Title: Investigaciones en Pensamiento Numérico y Algebraico e Historia de las Matemáticas y Educación Matemática.

Volume: 30

Issue: 1

Pages: 9-21

Type: Article

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More publications in: Ensayos: Revista de la Facultad de Educación de Albacete

Abstract

This study examines how pre-service teachers identify evidence of the up and down reasoning in primary school students. This reasoning involves two processes: the reconstruction of the unit and the representation of fractions. 92 pre-service teachers answered a task consisted of the analysis of three primary school students answers to a proportional problem showing different characteristics of the up and down reasoning. In this paper we present some aspects of the analysis we are carrying out to categorize the way in which pre-service teachers recognize evidence of this reasoning, and how this recognition is linked with the way they recognize relevant mathematical elements of the problem.

Bibliographic References

  • Bartell, T.G., Webel, C., Bowen, B. y Dyson, N. (2013). Prospective teacher learning: recognizing evidence of conceptual understanding. Journal of Mathematics Teacher Education, 16, 57‐79.
  • Callejo, M.L., Fernández, C., Sánchez‐Matamoros y Valls, J. (2014). Aprendiendo a reconocer evidencias del proceso de generalización de los estudiantes a través de un debate virtual. En M. T. González, M. Codes, D. Arnau y T. Ortega (Eds.), Investigación en Educación Matemática XVIII (pp. 187‐196). Salamanca: SEIEM.
  • Copes, L. (1982). The Perry development scheme: A methaphor for learning and teaching mathematics. For the Learning of Mathematics, 3(1), 38‐44.
  • Fernández, C., Llinares, S. y Valls, J. (2012). Learning to notice students’ mathematical thinking through on‐line discussions. ZDM Mathematics Education, 44, 747‐759.
  • Fortuny, J. M. y Rodríguez, R. (2012). Aprender a mirar con sentido: facilitar la interpretación de las interacciones en el aula. AIEM. Avances de Investigación en Educación Matemática, 1, 23‐37.
  • Gómez, B. y García, A. (2014). Componentes críticas en tareas de comparación de razones desiguales. En M. T. González, M. Codes, D. Arnau y T. Ortega (Eds.), Investigación en Educación Matemática XVIII (pp. 375‐384). Salamanca: SEIEM.
  • Jacobs, V.R., Lamb, L.C. y Philipp, R. (2010). Professional noticing of children’s mathematical thinking. Journal for Research in Mathematics Education, 41(2), 169‐202.
  • Lamon, S. J. (2005). Teaching fractions and ratios for understanding. Essential content knowledge and instructional strategies for teachers (2nd ed.). Mahwah, New Jersey:Lawrence Erlbaum Associates.
  • Lamon, S.J. (2007). Rational Numbers and Proportional Reasoning: Toward a Theoretical Framework. En F.K. Lester Jr. (Ed.), Second Handbook of Research on Mathematics Teaching and Learning (pp. 629‐668). NCTM‐Information Age Publishing, Charlotte, NC.
  • Livy, S. y Vale, C. (2011). First year pre‐service teachers’ mathematical content knowledge: Methods of solution for a ratio question. Mathematics Teacher Education and Development, 1(2), 22‐43.
  • Magiera, M., van den Kieboom, L., y Moyer, J. (2013). An exploratory study of preservice middle school teachers’ knowledge of algebraic thinking. Educational Studies in Mathematics, 84, 93‐113.
  • Mason, J. (2002). Researching your own practice. The discipline of noticing. London: Routledge Falmer.
  • Morris, A.K., Hiebert, J. y Spitzer, S.M. (2009). Mathematical knowledge for teaching in planning and evaluating instruction: What can preservice teacherslearn?. Journal for Research in Mathematics Education, 40(5), 491‐529.
  • Pitta‐Pantazi,D. y Christou, C. (2011). The structure of prospective kindergarten teachers’ proportional reasoning. Journal of Mathematics Teacher Education, 14(2), 149–169.
  • Rivas, M.A., Godino, J.D. y Castro, W.F. (2012) Desarrollo del conocimiento para la Enseñanza de la Proporcionalidad en Futuros profesores de Primaria. Bolema, 26(42B), 559‐588.
  • Sánchez‐Matamoros, G., Fernández, C. y Llinares, S. (2014). Developing pre‐service teachers’ noticing of students’ understanding of the derivative concept. International Journal of Science and mathematics Education, DOI: 10.1007/s10763‐014‐9544‐y
  • Sherin, M. G., Jacobs, V. R. y Philipp, R. A. (eds) (2010), Mathematics teacher noticing: Seeing through teachers' eyes. New York: Routledge.
  • Steffe, L. y Olive, J. (2012). Childrens’ Fractional Knowledge. London: Springer.
  • Valverde, A. y Castro, E. (2009). Actuaciones de maestros en formación en la resolución de problemas de proporcionalidad directa. En M.J. González, M.T. González, J. Murillo (Eds.), Actas del XIII Simposio de la SEIEM. Investigación en Educación Matemática (pp. 523‐532). Santander: SEIEM y Universidad de Cantabria.
  • Yesildere‐Imre, S., y Akkoç, H. (2012). Investigating the development of prospective mathematics teachers’ pedagogical content knowledge of generalizing number patterns through school practicum. Journal of Mathematics Teacher Education, 15, 207‐226.
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