Animations and depictions as a tool to improve pre-service elementary teachers’ noticing of students’ mathematical thinking
Sumeyra Dogan Coskun 1 *
More Detail
1 Department of Elementary and Early Childhood Education, Eskisehir Osmangazi University, Eskisehir, Türkiye
* Corresponding Author

Abstract

The purpose of the study is to examine pre-service elementary teachers’ noticing of students’ mathematical thinking of division through animations and depictions. For this purpose, the data was collected from pre-service teachers’ written explanations of important moments identified when watching a video clip, as well as pre-service teachers’ animations and depictions of classroom scenarios. Findings indicated that what the pre-service teachers noticed in the video clip was more general, as they attended to the whole class environment, students’ behaviours and learning in total, and teacher pedagogy. The pre-service teachers, however, were more focused on particular students’ mathematical thinking in their animations and depictions. Furthermore, between animations and depictions, the pre-service elementary teachers included the most details about students and teachers in the latter one. Therefore, this study concludes that while both preparing animations and depictions have a positive effect on the pre-service elementary teachers’ noticing levels, preparing depictions better facilitates their attention to students’ thinking about mathematics.  

Keywords

References

  • Amador, J. & Earnest, D. (2016). Transforming lesson design through animation: Preservice mathematics teachers’ plan-imations. In M. Niess, S. Driskell, and K. Hollerbrands (Eds.), Handbook of research on transforming mathematics teacher education in the digital age (pp. 241–271). IGI Global. https://doi.org/10.4018/978-1-5225-0120-6.ch010
  • 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.
  • Borko, H., Jacobs, J., Eiteljorg, E., & Pittman, M. E. (2008). Video as a tool for fostering productive discussions in mathematics professional development. Teaching and teacher education, 24(2), 417-436. https://doi.org/10.1016/j.tate.2006.11.012
  • Chazan, D., & Herbst, P. (2012). Animations of classroom interaction: Expanding the boundaries of video records of practice. Teachers College Record, 114(3), 1-34. https://doi.org/10.1177/016146811211400302
  • Ghousseini, H., & Herbst, P. (2016). Pedagogies of practice and opportunities to learn about classroom mathematics discussions. Journal of Mathematics Teacher Education, 19(1), 79-103. https://doi.org/10.1007/s10857-014-9296-1
  • Grossman, P., Compton, C., Igra, D., Ronfeldt, M., Shahan, E., & Williamson, P. (2009). Teaching practice: A cross-professional perspective. Teachers college record, 111(9), 2055-2100. https://doi.org/10.1177/016146810911100905
  • Güler, M., Çekmez, E., & Çelik, D. (2020). Breaking with tradition: An investigation of an alternative instructional sequence designed to improve prospective teachers’ noticing skills. Teaching and Teacher Education, 92, 103073. https://doi.org/10.1016/j.tate.2020.103073
  • Herbst, P., & Chieu, V. M. (2011). Depict: A tool to Represent Classroom Scenarios. Deep Blue at the University of Michigan. Retrieved from http://hdl.handle.net/2027.42/87949.
  • Herbst, P., Chazan, D., Chen, C., Chieu, V. M., & Weiss, M. (2011). Using comics-based representations of teaching, and technology, to bring practice to teacher education courses. ZDM, 43(1), 91-103. https://doi.org/10.1007/s11858-010-0290-5
  • Ivars, P., Fernández, C., Llinares, S., & Choy, B. H. (2018). Enhancing noticing: Using a hypothetical learning trajectory to improve pre-service primary teachers’ professional discourse. EURASIA Journal of Mathematics, Science and Technology Education, 14(11), em1599. https://doi.org/10.29333/ejmste/93421
  • Jacobs, V. R., Lamb, L. L. & Philipp, R. A. (2010). Professional noticing of children’s mathematical thinking. Journal for Research in Mathematics Education, 41(2), 169–202. https://doi.org/10.5951/jresematheduc.41.2.0169
  • Kazemi, E., & Hubbard, A. (2008). New directions for the design and study of professional development: Attending to the coevolution of teachers' participation across contexts. Journal of Teacher Education, 59(5), 428-441. https://doi.org/10.1177/0022487108324330
  • Kersting, N. B., Givvin, K. B., Sotelo, F. L., & Stigler, J. W. (2010). Teachers’ analyses of classroom video predict student learning of mathematics: Further explorations of a novel measure of teacher knowledge. Journal of Teacher Education, 61(1-2), 172-181. https://doi.org/10.1177/0022487109347875
  • Mason, J. (2011). Noticing: Roots and branches. In M. G. Sherin, V. R. Jacobs & R. A. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers’ eyes (pp. 35–50). Routledge.
  • Merriam, S. B. (2009). Qualitative research: A guide to design and implementation. San Fransisco: Wiley Publications.
  • National Council of Teachers of Mathematics. (2014). Principles to actions: Ensuring mathematical success for all. Author.
  • Ozdemir Baki, G., & Kilicoglu, E. (2021). The Skills of Mathematics Teachers with Different Professional Experiences to Notice the Evidence of Student Thinking. International Journal of Research in Education and Science, 7(4), 1226-1244. https://doi.org/10.46328/ijres.2404
  • Rosebery, A. (2005). What are we going to do next? Lesson planning as a resource for teaching. In R. Nemirovsky, A. Rosebery, J. Soloman & B. Warren (Eds.), Everyday matters in science and mathematics: Studies of complex classroom events (pp. 299‐327). Lawrence Erlbaum Associates, Inc.
  • Schifter, D. (2011). Examining the behavior of operations: Noticing early algebraic ideas. In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers’ eyes (pp. 204–220). New York: Routledge.
  • Schoenfeld, A. H. (2011). Noticing matters. A lot. Now what? In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers’ eyes (pp. 223–238). Routledge.
  • Sherin, M. G., & van Es, E. A. (2009). Effects of video club participation on teachers' professional vision. Journal of Teacher Education, 60(1), 20-37. https://doi.org/10.1177/0022487108328155
  • Smith, M. S., & Stein, M. K. (2018). 5 practices for orchestrating productive mathematics discussions. National Council of Teachers of Mathematics.
  • Stahnke, R., Schueler, S., & Roesken-Winter, B. (2016). Teachers’ perception, interpretation, and decision-making: a systematic review of empirical mathematics education research. ZDM, 48(1-2), 1-27. https://doi.org/10.1007/s11858-016-0775-y
  • Star, J. R., & Strickland, S. K. (2008). Learning to observe: Using video to improve preservice mathematics teachers’ ability to notice. Journal of Mathematics Teacher Education, 11(2), 107-125. https://doi.org/10.1007/s10857-007-9063-7
  • Stockero, S. L., Rupnow, R. L., & Pascoe, A. E. (2017). Learning to notice important student mathematical thinking in complex classroom interactions. Teaching and Teacher Education, 63, 384-395. https://doi.org/10.1016/j.tate.2017.01.006
  • Ulusoy, F., & Çakıroğlu, E. (2018). Using video cases and small-scale research projects to explore prospective mathematics teachers’ noticing of student thinking. EURASIA Journal of Mathematics, Science and Technology Education, 14(11), em1571. https://doi.org/10.29333/ejmste/92020
  • Ulusoy, F., & Çakıroğlu, E. (2021). Exploring prospective teachers’ noticing of students' understanding through micro-case videos. Journal of Mathematics Teacher Education, 24, 253-282. https://doi.org/10.1007/s10857-020-09457-1
  • van Es, E. A. (2011). A framework for learning to notice student thinking. In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers’ eyes (pp. 134-151). Routledge.
  • van Es, E. A., & Sherin, M. (2002). Learning to notice: Scaffolding new teachers’ interpretations of classroom interactions. Journal of Technology and Teacher Education, 10(4), 571-596.
  • 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. https://doi.org/10.1016/j.tate.2006.11.005
  • Yin, R. K. (2003). Case Study Research: Design and Methods (3rd ed.). SAGE Publications.

License

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.