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The Role of Writing Narratives in Developing Pre-service Elementary Teachers’ Noticing

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Research Advances in the Mathematical Education of Pre-service Elementary Teachers

Part of the book series: ICME-13 Monographs ((ICME13Mo))

Abstract

Previous research has shown evidence of pre-service teachers’ development of the skill of noticing students’ mathematical understanding when they participate in online debates, throughout meetings with colleagues or watching video clips. The aim of our study is to analyze if writing narratives and receiving feedback from a university tutor could help pre-service teachers develop this skill during their teaching practices at schools. In their narratives, pre-service elementary teachers had to identify critical events related to students’ mathematical understanding, describe and interpret them and make new instructional decisions to support the conceptual development of students. Results suggest that writing narratives with this focus and the tutor’s feedback helped pre-service teachers structure their attention on students’ mathematical understanding. In this sense, our study provides information about how the skill of noticing students’ mathematical understanding can be developed in teacher education programs.

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References

  • Andriessen, L., Erkens, G., van de Laank, C., Peters, N., & Coirier, N. (2003). Argumentation as negotiation in electronic collaborative writing. In J. Andriessen, M. Baker, & D. Suthers (Eds.), Arguing to learn: Confronting cognition in computers-supporters collaborative learning environment (pp. 79–115). Dordrecht: Kluwer Academic Publishers.

    Google Scholar 

  • Bartell, T. G., Webel, C., Bowen, B., & Dyson, N. (2013). Prospective teacher learning: Recognizing evidence of conceptual understanding. Journal of Mathematics Teacher Education, 16(1), 57–79.

    Google Scholar 

  • Callejo, M. L., & Zapatera, A. (2016). Prospective primary teachers’ noticing of students’ understanding of pattern generalization. Journal of Mathematics Teacher Education. doi:10.1007/s10857-016-9343-1.

  • Chapman, O. (2008). Narratives in mathematics teacher education. In D. Tirosh, & T. Wood (Eds.), The International Handbook of Mathematics Teacher Education. Tools and Processes in Mathematics Teacher Education (Vol. 2, pp. 15–38). Taiwan/Rotterdam: Sense Publishers.

    Google Scholar 

  • Choy, B. H. (2016). Snapshots of mathematics teacher noticing during task design. Mathematics Education Research Journal28(3), 421–440.

    Google Scholar 

  • Coles, A. (2013). Using video for professional development: the role of the discussion facilitator. Journal of Mathematics Teacher Education, 16(3), 165–184.

    Google Scholar 

  • Coles, A., Fernández, C., & Brown, L. (2013). Teacher noticing and growth indicators for mathematics teacher development. In A. M. Lindmeier, & A. Heinze, (Eds.), Proceedings of the 37th Conference of the International Group for the Psychology of mathematics Education, (Vol. 2, pp. 209–216). Kiel, Germany: PME.

    Google Scholar 

  • Emig, J. (1977). Writing as a Mode of Learning. College Composition and Communication, 28(2), 122–128.

    Google Scholar 

  • Fernández, C., Llinares, S., & Valls, J. (2012). Learning to notice students’ mathematical thinking through on-line discussions. ZDM. Mathematics Education, 44(6), 747–759.

    Google Scholar 

  • Hattie, J., & Timperley, H. (2007). The power of feedback. Review of educational research77(1), 81–112.

    Google Scholar 

  • Hufferd-Ackles, K., Fuson, K. C., & Sherin, M. G. (2004). Describing levels and components of a mathtalk learning community. Journal for Research in Mathematics Education, 35(2), 81–116.

    Google Scholar 

  • Ivars, P., & Fernández, C. (2016). Narratives and the development of the skill of noticing. In C. Csíkos, A. Rausch, & J. Szitányi (Eds.), Proceedings of the 40th Conference of the International Group for the Psychology of Mathematics Education, (Vol. 3, pp. 19–26). Szeged, Hungary: PME.

    Google Scholar 

  • Jacobs, V. R., Lamb, L. C., & Philipp, R. (2010). Professional noticing of children’s mathematical thinking Journal for Research in Mathematics Education, 41(2), 169–202.

    Google Scholar 

  • Llinares, S., & Valls, J. (2009). The building of pre-service primary teachers’ knowledge of mathematics teaching: interaction and online video case studies. Instructional Science37(3), 247–271.

    Google Scholar 

  • Llinares, S., & Valls J. (2010). Prospective primary mathematics teachers’ learning from on-line discussions in a virtual video-based environment. Journal of Mathematics Teacher Education, 13(2), 177–196.

    Google Scholar 

  • Mason, J. (2002). Researching your own practice. The discipline of noticing. London: Routledge-Falmer.

    Google Scholar 

  • Mason, J. (2011). Noticing: Roots and branches. In M. G. Sherin, V. R. Jacobs, & R. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers’ eyes (pp. 35–50). New York: Routledge.

    Google Scholar 

  • Mitchell, J. (2003). On-line writing: A link to learning in teacher education program. Teaching and Teacher Education, 19(1), 127–143.

    Google Scholar 

  • National Council of Teachers of Mathematics. (2014). Principles to actions: Ensuring mathematics success for all. Reston, VA: NCTM

    Google Scholar 

  • Polkinghorne, D. E. (1988). Narrative Knowing and the Human Sciences. Albany: Suny Press.

    Google Scholar 

  • Ponte, J. P. D., Segurado, M. I., & Oliveira, H. (2003). A collaborative project using narratives: What happens when pupils work on mathematical investigations? In A. Peter-Koop, V. Santos-Wagner, C. Breen, & A. Begg (Eds.), Collaboration in teacher education: Examples from the context of mathematics education, (pp. 85–97). Dordrecht: Kluwer Academic Press.

    Google Scholar 

  • Sánchez-Matamoros, G., Fernández, C., & Llinares, S. (2015). Developing pre-service teachers’ noticing of students’ understanding of the derivative concept. International Journal of Science and Mathematics Education, 13(6), 1305–1329.

    Google Scholar 

  • Santagata, R., Zannoni, C., & Stigler, J. W. (2007). The role of lesson analysis in preservice teacher education: An empirical investigation of teacher learning from a virtual video-based field experience. Journal of Mathematics Teacher Education, 10(2), 123–140.

    Google Scholar 

  • Schack, E. O., Fisher, M. H., Thomas, J. N., Eisenhardt, S., Tassell, J., & Yoder, M. (2013). Prospective elementary school teachers’ professional noticing of children’s early numeracy. Journal of Mathematics Teacher Education, 16(5), 379–397.

    Google Scholar 

  • Schrire, S. (2006). Knowledge building in asynchronous discussion groups: Going beyond quantitative analysis. Computers & Education46(1), 49–70.

    Google Scholar 

  • Schultz, K., & Ravitch, S. M. (2013). Narratives of learning to teach taking on professional identities. Journal of Teacher Education, 64(1), 35–46.

    Google Scholar 

  • Sherin, M., Jacobs, V., & Philipp, R. (Eds.). (2011). Mathematics teacher noticing: Seeing through teachers’ eyes. New York: Routledge.

    Google Scholar 

  • Sherin, M. G., & van Es, E. A. (2005). Using video to support teachers’ ability to notice classroom interactions. Journal of technology and teacher education13(3), 475–491.

    Google Scholar 

  • Shute, V. J. (2008). Focus on formative feedback. Review of educational research78(1), 153–189.

    Google Scholar 

  • Smith, T. (2003). Connecting theory and reflective practice through the use of personal theories. In N. Pateman, B. Dougherty, & J. Zilliox (Eds.), Proceedings of the 27th Conference of the International Group for the Psychology of Mathematics Education (Vol. 4, pp. 215–222). CRDG, College of Education, University of Hawai: PME.

    Google Scholar 

  • Stahnke, R., Schueler, S., & Roesken-Winter, B. (2016). Teachers’ perception, interpretation, and decision-making: a systematic review of empirical mathematics education research. ZDM. Mathematics Education48(1–2), 1–27.

    Google Scholar 

  • Swain, M., Brooks, L., & Tocalli-Beller, A. (2002). Peer-peer dialogue as a means of second language learning. Annual Review of Applied Linguistics22, 171–185.

    Google Scholar 

  • Tyminski, A. M., Land, T. J., Drake, C., Zambak, V. S., & Simpson, A. (2014). Preservice elementary mathematics teachers’ emerging ability to write problems to build on children’s mathematics. In J. J. Lo, K. R. Leatham, & L. R. Van Zoest (Eds.), Research trends in mathematics teacher education (pp. 193–218). Springer International Publishing.

    Google Scholar 

  • van Es, E. (2011). A framework for learning to notice student thinking. In M. G. Sherin, V. R. Jacobs, & R. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers’ eyes (pp. 134–151). New York: Routledge.

    Google Scholar 

  • van Es, E. A., & Sherin, M. G. (2002). Learning to notice: Scaffolding new teachers’ interpretations of classroom interactions. Journal of Technology and Teacher Education10(4), 571–595.

    Google Scholar 

  • van Es, E. A., & Sherin, M. G. (2008). Mathematics teachers’ “learning to notice” in the context of a video club. Teaching and Teacher Education24(2), 244–276.

    Google Scholar 

  • Walkoe, J. (2015). Exploring teacher noticing of student algebraic thinking in a video club. Journal of Mathematics Teacher Education18(6), 523–550.

    Google Scholar 

  • Wells, G. (1999). Dialogic inquiry: Towards a socio-cultural practice and theory of education. Cambridge University Press.

    Google Scholar 

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Acknowledgements

The research reported here has been financed in part by the Project GV/2014/075 of the Conselleria de Educación, Cultura y Deporte de la Generalitat Valenciana and in part by the project EDU2014-54526-R of the Ministerio de Educación y Ciencia (Spain).

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Correspondence to Pedro Ivars .

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Ivars, P., Fernández, C. (2018). The Role of Writing Narratives in Developing Pre-service Elementary Teachers’ Noticing. In: Stylianides, G., Hino, K. (eds) Research Advances in the Mathematical Education of Pre-service Elementary Teachers. ICME-13 Monographs. Springer, Cham. https://doi.org/10.1007/978-3-319-68342-3_17

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  • DOI: https://doi.org/10.1007/978-3-319-68342-3_17

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