Preservice teachers’ articulated noticing through pedagogies of practice

  • Anne T. Estapa
  • Julie Amador
  • Karl W. Kosko
  • Tracy Weston
  • Zandra de Araujo
  • Rachael Aming-Attai
Article

Abstract

Elementary preservice teachers at six universities engaged in a task that provided them opportunities to articulate their professional noticing within video representations, written decompositions, and animated approximations of practice. The preservice teachers’ written accounts indicated that a majority attended to students or student thinking; however, when asked to illustrate their noticing through animation, focus shifted to the classroom teacher. Findings indicate the extent to which preservice teachers articulated specific mathematics concepts within and across pedagogies of practice and highlight the critical importance for selecting and utilizing multiple types of tasks to better understand preservice teacher noticing. Implications for eliciting and supporting preservice teacher noticing are discussed.

Keywords

Noticing Elementary preservice teachers Pedagogies of practice Mathematics 

Notes

Acknowledgements

We would like to acknowledge and extend gratitude to the Service, Teaching, and Research (STaR) Program (https://amte.net/star) for bringing us together for this project.

References

  1. Amador, J., & Soule, T. (2015). Girls build excitement for math from Scratch. Mathematics Teaching in the Middle School, 20, 408–415.Google Scholar
  2. Amador, J., Estapa, A., de Araujo, Z., Weston, T., & Kosko, K. (2017). Eliciting and analyzing preservice teachers’ mathematical noticing. Mathematics Teacher Educator, 5, 158–177.Google Scholar
  3. Amador, J., Weston, T., Estapa, A., Kosko, K., & de Araujo, Z. (2016). Animations as a transformational approximation of practice for preservice teachers to communicate professional noticing. Journal of Technology and Teacher Education, 24(2), 127–151.Google Scholar
  4. Annenberg Video Library. (2010). Cookies to Share. Retrieved from https://www.learner.org/resources/series32.html.
  5. Ball, D. L. (2011). Forward. In M. Sherin, V. Jacobs, & R. Philip (Eds.), Mathematics teacher noticing: Seeing through teachers’ eyes (pp. xx–xxv). New York: Routledge.Google Scholar
  6. Borko, H., Jacobs, J., Eiteljorg, E., & Pittman, E. (2008). Video as a tool for fostering productive discussions in mathematics professional development. Teaching and Teacher Education, 24(2), 417–436.CrossRefGoogle Scholar
  7. Chamberlin, M. T. (2005). Teachers’ discussions of students’ thinking: Meeting the challenge of attending to students’ thinking. Journal of Mathematics Teacher Education, 8(2), 141–170.CrossRefGoogle Scholar
  8. Chazan, D., & Herbst, P. (2012). Animations of classroom interaction: Expanding the boundaries of video records of practice. Teachers College Record, 114(3), 1–34.Google Scholar
  9. Chen, C. (2012). Learning to teach from anticipating lessons through comics based approximations of practice (Unpublished doctoral dissertation). Ann Arbor, MI: The University of Michigan.Google Scholar
  10. Chieu, V. M., & Herbst, P. (2016). A study of the quality of interaction among participants in online animation-based conversations about mathematics learning. Teaching and Teacher Education, 57, 139–149.CrossRefGoogle Scholar
  11. Chieu, V. M., Kosko, K. W., & Herbst, P. G. (2014). An analysis of evaluative comments in teachers’ online discussions of representations of practice. Journal of Teacher Education, 66(1), 35–50.CrossRefGoogle Scholar
  12. Corbin, J., & Strauss, A. (2008). Basics of Qualitative Research (3rd ed.). London, UK: Sage.Google Scholar
  13. Creswell, J. W., & Plano Clark, V. L. (2007). Designing and Conducting Mixed Methods Research (1st ed.). Thousand Oaks, CA: Sage.Google Scholar
  14. de Araujo, Z., Amador, J., Estapa, A., Kosko, K., Weston, T., & Aming-Attai, R. (2015). Animatingpreservice teachers’ noticing. Mathematics Teacher Education & Development, 17(2), 25–44.Google Scholar
  15. Dori, Y. J., & Barak, M. (2001). Virtual and physical molecular modeling: Fostering model perception and spatial understanding. Educational Technology & Society, 4(1), 61–74.Google Scholar
  16. Estapa, A., & Amador, J. (2016). Wearable cameras as a tool to capture preservice teachers’ marked and recorded noticing. Journal of Technology and Teacher Education, 24(3), 281–307.Google Scholar
  17. GoAnimate [computer software]. (2010). Retrieved from https://goanimate.com.
  18. González, G., Deal, J. T., & Skultety, L. (2016). Facilitating teacher learning when using different representations of practice. Journal of Teacher Education, 67(5), 447–466.CrossRefGoogle Scholar
  19. Goodwin, C. (1994). Professional vision. American Anthropologist, 96(3), 606–633.CrossRefGoogle Scholar
  20. Grossman, P., Compton, C., Igra, D., Ronfeldt, M., Shahan, E., & Williamson, P. W. (2009a). Teaching practice: A cross-professional perspective. Teachers College Record, 111(9), 2055–2100.Google Scholar
  21. Grossman, P., Hammerness, K., & McDonald, M. (2009b). Redefining teaching, re-imagining teacher education. Teachers and Teaching: Theory and Practice, 15(2), 273–289.CrossRefGoogle Scholar
  22. Herbst, P., Chazan, D., Chen, C. L., Chieu, V. M., & Weiss, M. (2011). Using comics-based representations of teaching, and technology, to bring practice to teacher education courses. ZDM Mathematics Education, 43(1), 91–103.CrossRefGoogle Scholar
  23. Herbst, P., Chazan, D., Chieu, V. M., Milewski, A., Kosko, K. W., & Aaron, W. R. (2016). Technology-mediated mathematics teacher development: Research on digital pedagogies of practice. In M. L. Niess, S. Driskell, & K. Hollerands (Eds.), Handbook of Research on Transforming Mathematics Teacher Education in the Digital Age (pp. 76–105). Hershey, PA: IGI Global.Google Scholar
  24. Herbst, P., Chieu, V., & Rougee, A. (2014). Approximating the practice of mathematics teaching: What learning can web-based, multimedia storyboarding software enable? Contemporary Issues in Technology and Teacher Education, 14(4), 356–383.Google Scholar
  25. Herbst, P. G., & Kosko, K. W. (2014). Using cases as triggers for teachers’ thinking about practice: A comparison of responses to animations and videos. Journal of Mathematics Teacher Education, 17(6), 515–537.CrossRefGoogle Scholar
  26. Hoban, G., & Nielsen, W. (2013). Learning science through creating a ‘slowmation’: A case study of preservice primary teachers. International Journal of Science Education, 35(1), 119–146.CrossRefGoogle Scholar
  27. Jacobs, V., Lamb, L., Philipp, R., & Schappelle, B. (2011). Deciding how to respond on the basis of children’s understanding. In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.), Mathematics teacher noticing: Seeing through teacher’s eyes (pp. 97–116). New York, NY: Routledge.Google Scholar
  28. Jacobs, V. R., Lamb, L. L. C., & Philipp, R. A. (2010). Professional noticing of children’s mathematical thinking. Journal for Research in Mathematics Education, 41(2), 169–202.Google Scholar
  29. Kelly, R., Phelps, A., & Sanger, M. (2004). The effects of a computer animation on students’ conceptual understanding of a can-crushing demonstration at the macroscopic, microscopic, and symbolic levels. Chemical Educator, 9(3), 184–189.Google Scholar
  30. Kosko, K. W. (2014). Using multi-decision scenarios to facilitate teacher knowledge for mathematical questioning. In M. J. Mohr-Schroeder, & S. S. Harkness (Eds.), Proceedings of the 113th annual convention of the School Science and Mathematics Association (pp. 23–30). Jacksonville, FL: SSMA.Google Scholar
  31. Kosko, K. W., Weston, T. L., Estapa, A., & Amador, J. (2017). Preservice teachers’ approximations of questioning. Roundtable presented at the 2017 annual meeting for the American Educational Research Association (Division K). San Antonio, TXGoogle Scholar
  32. Lampert, M., Beasley, H., Ghousseini, H., Kazemi, E., & Franke, M. (2010). Using designed instructional activities to enable novices to manage ambitious mathematics teaching. In M. K. Stein & L. Kucan (Eds.), Instructional Explanations in the Disciplines (pp. 129–141). New York, NY: Springer, US.CrossRefGoogle Scholar
  33. Ma, T., Brown, I. A., Kulm, G., Davis, T. J., Lewis, C. W., & Allen, G. D. (2016). Constructing and role-playing student avatars in a simulation of teaching Algebra for diverse learners. Urban Education, 51(5), 534–555.CrossRefGoogle Scholar
  34. Masats, D., & Dooly, M. (2011). Rethinking the use of video in teacher education: A holistic approach. Teaching and Teacher Education, 27(7), 1151–1162.CrossRefGoogle Scholar
  35. Mason, J. (2002). Researching your Own Practice: The Discipline of Noticing. New York, NY: Routledge.Google Scholar
  36. Moore-Russo, D. A., & Wilsey, J. N. (2014). Delving into the meaning of productive reflection: A study of future teachers’ reflections on representations of teaching. Teaching and Teacher Education, 37, 76–90.CrossRefGoogle Scholar
  37. Musa, S., Ziatdinov, R., & Griffiths, C. (2013). Introduction to computer animation and its possible educational applications. In M. Gallova, J. Guncaga, Z. Chanasova, & M. Chovancova (Eds.), New Challenges in Education (pp. 177–205). Ruzomberok, Slovakia: Verbum.Google Scholar
  38. Oonk, W., Goffree, F., & Verloop, N. (2004). For the enrichment of practical knowledge: Good practice and useful theory for future primary teachers. In J. Brophy (Ed.), Using Video in Teacher Education (pp. 131–167). San Diego, CA: Elsevier Inc.Google Scholar
  39. Philipp, R. A. (2014). Research on Teachers’ Focusing on Children’s Thinking in Learning to Teach: Teacher Noticing and Learning Trajectories. In J. Lo et al. (Eds.), Research Trends in Mathematics Teacher Education (pp. 285–293). New York, NY: Springer.CrossRefGoogle Scholar
  40. Roth McDuffie, A., Foote, M. Q., Bolson, C., Turner, E. E., Aguirre, J. M., Bartell, T. G., et al. (2014). Using video analysis to support prospective K-8 teachers’ noticing of students’ multiple mathematical knowledge bases. Journal of Mathematics Teacher Education, 17(3), 245–270.CrossRefGoogle Scholar
  41. Sanger, M. J., & Greenbowe, T. J. (2000). Addressing student misconceptions concerning electron flow in aqueous solutions with instruction including computer animations and conceptual change strategies. International Journal of Science Education, 22(5), 521–537.CrossRefGoogle Scholar
  42. Santagata, R., Zannoni, C., & Stigler, J. W. (2007). The role of lesson analysis in pre-service teacher education: An empirical investigation of teacher learning from a virtual video-based field experience. Journal of Mathematics Teacher Education, 10(2), 123–140.CrossRefGoogle Scholar
  43. 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.CrossRefGoogle Scholar
  44. Seago, N., Mumme, J., & Branca, N. (2004). Learning and teaching linear functions: Video cases for mathematics professional development, 6–10: Facilitator’s guide. Portsmouth, NH: Heinemann.Google Scholar
  45. Sherin, M. G., & van Es, E. A. (2005). Using video to support teachers’ ability to notice classroom interactions. Journal of Technology and Teacher Education, 13(3), 475–491.Google Scholar
  46. Star, J. R., Lynch, K., & Perova, N. (2011). Using video to improve preservice mathematics teachers’ abilities to attend to classroom features: A replication study. In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers’ eyes (pp. 117–133). New York, NY: Routledge.Google Scholar
  47. Star, J. R., & Strickland, S. K. (2008). Learning to observe: Using video to improve preservice teachers’ ability to notice. Journal of Mathematics Teacher Education, 11(2), 107–125.CrossRefGoogle Scholar
  48. Stockero, S. (2008). Differences in preservice mathematics teachers’ reflective abilities attributable to use of a video case curriculum. Journal of Technology and Teacher Education, 16(4), 483–509.Google Scholar
  49. Tashakkori, A., & Teddlie, C. (2003). Handbook of Mixed Methods in Social & Behavorial Research. Thousand Oaks, CA: Sage.Google Scholar
  50. van Es, E. (2011). A framework for learning to notice student thinking. In M. G. Sherin, V. Jacobs, & R. Philipp (Eds.), Mathematics Teacher Noticing (pp. 134–151). New York, NY: Routledge.Google Scholar
  51. van Es, E. A., & Sherin, M. G. (2008). Mathematics teachers’ “learning to notice” in the context of a video club. Teaching and Teacher Education, 24(2), 244–276.CrossRefGoogle Scholar
  52. Wang, J., & Hartley, K. (2003). Video technology as a support for teacher education reform. Journal of Technology and Teacher Education, 11(1), 105–138.Google Scholar
  53. Williamson, V. M., & Abraham, M. R. (1995). The effects of computer animation on the particulate mental models of college chemistry students. Journal of Research in Science Teaching, 32(5), 521–534.CrossRefGoogle Scholar
  54. Yarden, H., & Yarden, A. (2011). Studying biotechnological methods using animations: The teacher’s role. Journal of Science Education and Technology, 20(6), 689–702.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2017

Authors and Affiliations

  • Anne T. Estapa
    • 1
  • Julie Amador
    • 2
  • Karl W. Kosko
    • 3
  • Tracy Weston
    • 4
  • Zandra de Araujo
    • 5
  • Rachael Aming-Attai
    • 6
  1. 1.Iowa State UniversityAmesUSA
  2. 2.University of IdahoCoeur d’AleneUSA
  3. 3.Kent State UniversityKentUSA
  4. 4.Middlebury CollegeMiddleburyUSA
  5. 5.University of MissouriColumbiaUSA
  6. 6.University of IndianapolisIndianapolisUSA

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