Abstract
Numerous studies have reported positive outcomes of noticing interventions on the development of prospective mathematics teachers’ (PMTs) noticing of a range of important aspects of classroom instruction. Less is known, however, about whether noticing skills that are developed during an intervention transfer to support PMTs’ in-the-moment noticing during their own teaching practice. This study compared PMTs’ noticing while teaching a lesson during their student teaching internship of PMTs who participated in a noticing intervention to those who did not participate in the intervention to determine whether the two groups of PMTs noticed different aspects of instruction. The study documented very different noticing foci of the two groups of PMTs, suggesting that the noticing intervention did, in fact, support the PMTs’ in-the-moment noticing of aspects of instruction that aligned with the goals of the noticing intervention. The findings of the study suggest that noticing skills developed during a university-based noticing intervention can transfer to support novice teachers’ in-the-moment noticing during their classroom practice.
Similar content being viewed by others
Notes
These frameworks are described in more detail in the theoretical framework section of this paper.
References
Alsawaie, O. N., & Alghazo, I. M. (2010). The effect of video-based approach on prospective teachers’ ability to analyze mathematics teaching. Journal of Mathematics Teacher Education, 13, 223–241. https://doi.org/10.1007/s10857-009-9138-8
Amador, J. M., Carter, I., Hudson, R. A., & Galindo, E. (2017). Following a teacher’s mathematical and scientific noticing across career progression from field experiences to classroom teaching. In E. O. Schack, M. H. Fisher, & J. Wilhelm (Eds.), Teacher noticing: Bridging and broadening perspectives, contexts, and frameworks (pp. 161–181). New York: Springer.
Barnhart, T., & van Es, E. (2015). Studying teacher noticing: Examining the relationship among pre-service science teachers’ ability to attend, analyze and respond to student thinking. Teaching and Teacher Education, 45, 83–93. https://doi.org/10.1016/j.tate.2014.09.005
Borko, H. (2004). Professional development and teacher learning: Mapping the Terrain. Educational Researcher, 33(8), 3–15.
Choy, B. H. (2014). Noticing critical incidents in a mathematics classroom. In J. Anderson, M. Vananagh, & A. Prescott (Eds) Curriculum in focus: Research guided practice (Proceedings of the 37th annual conference of the Mathematics Education Research group of Australasia) (pp. 143–150). Sydney: MERGA.
Fernández, C., Llinares, S., & Valls, J. (2012). Learning to notice students’ mathematical thinking through on-line discussions. ZDM Mathematics Education, 44, 747–759. https://doi.org/10.1007/s11858-012-0425-y
Fernández, C., Llinares, S., & Valls, J. (2013). Primary school teacher’s noticing of students’ mathematical thinking in problem solving. The Mathematics Enthusiast, 10, 441–468.
Fisher, M. H., Thomas, J., Jong, C., Schack, E. O., & Dueber, D. (2019). Comparing preservice teachers’ professional noticing skills in elementary mathematics classrooms. School Science and Mathematics, 119, 142–149. https://doi.org/10.1111/ssm.12324
Goodwin, C. (1994). Professional vision. American Anthropologist, 96(3), 606–633.
Harry, B., Surges, K. M., & Klingner, J. K. (2005). Mapping the process: An exemplar of process and challenge in grounded theory analysis. Educational Researcher, 34(2), 3–13.
Hill, H. C., Blunk, M. L., Charalambous, C. Y., Lewis, J. M., Phelps, G. C., Sleep, L., et al. (2008). Mathematical knowledge for teaching and the mathematical quality of instruction: An exploratory study. Cognition and Instruction, 26(4), 430–511. https://doi.org/10.1080/07370000802177235
Huang, R., & Li, Y. (2012). What matters most: A comparison of expert and novice teachers’ noticing of mathematics classroom events. School Science and Mathematics, 112(7), 420–432.
Ivars, P., Fernández, C., & Llinares, S. (2019). A learning trajectory as a scaffold for pre-service teachers’ noticing of students’ mathematical understanding. International Journal of Science and Mathematics Education. https://doi.org/10.1007/s10763-019-09973-4
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), 59. https://doi.org/10.29333/ejmste/93421
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.
Krupa, E. E., Huey, M., Lesseig, K., Casey, S., & Monson, D. (2017). Investigating secondary preservice teachers noticing of students’ mathematical thinking. In E. O. Schack, M. H. Fisher, & J. Wilhelm (Eds.), Teacher noticing: Bridging and broadening perspectives, contexts, and frameworks (pp. 49–72). New York: Springer.
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: Springer.
Leatham, K. R., Peterson, B. E., Stockero, S. L., & Van Zoest, L. R. (2015). Conceptualizing mathematically significant pedagogical opportunities to build on student thinking. Journal of Research in Mathematics Education, 46(1), 88–124.
Levin, D. M., Hammer, D., & Coffey, J. E. (2009). Novice teachers’ attention to student thinking. Journal of Teacher Education, 60(2), 142–154.
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). New York: Routledge.
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, 245–270. https://doi.org/10.1007/s10857-013-9257-0
Mitchell, R. N., & Marin, K. A. (2015). Examining the use of a structured analysis framework to support prospective teacher noticing. Journal of Mathematics Teacher Education, 18(6), 551–575. https://doi.org/10.1007/s10857-014-9294-3
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, 379–397. https://doi.org/10.1007/s10857-013-9240-9
Schack, E. O., Fisher, M. H., & Wilhelm, J. A. (2017). Teacher noticing: Bridging and broadening perspectives, contexts, and frameworks. New York: Springer.
Sherin, M. G., Jacobs, V. R., & Philipp, R. A. (2011a). Mathematics teacher noticing: Seeing through teachers’ eyes. New York: Routledge.
Sherin, M. G., Jacobs, V. R., & Philipp, R. A. (2011b). Situating the study of teacher noticing. In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers’ eyes (pp. 3–13). New York: Routledge.
Sherin, M. G., Russ, R. S., & Colestock, A. A. (2011). Assessing mathematics teachers’ in-the-moment noticing. In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers’ eyes (pp. 3–13). New York: Routledge.
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.
Sherin, M. G., & van Es, E. A. (2009). Effects of video club participation on teachers’ professional vision. Journal of Teacher Education, 60, 20–37. https://doi.org/10.1177/0022487108328155
Scherrer, J., & Stein, M. K. (2013). Effects of a coding intervention on what teachers learn to notice during whole-group discussion. Journal of Mathematics Teacher Education, 16, 105–124. https://doi.org/10.1007/s10857-012-9207-2
Simpson, A., & Haltiwanger, L. (2017). “This is the first time I’ve done this”: Exploring secondary prospective mathematics teachers’ noticing of students’ mathematical thinking. Journal of Mathematics Teacher Education, 20(4), 335–355. https://doi.org/10.1007/s10857-016-9352-0
Simpson, A., Vondrová, N., & Žalská, J. (2018). Sources of shifts in pre-service teachers’ patterns of attention: The roles of teaching experience and observational experience. Journal of Mathematics Teacher Education, 21, 607–630. https://doi.org/10.1007/s10857-017-9370-6
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, 107–125. https://doi.org/10.1007/s10857-007-9063-7
Stockero, S. L. (2008). Using a video-based curriculum to develop a reflective stance in prospective mathematics teachers. Journal of Mathematics Teacher Education, 11, 373–394. https://doi.org/10.1007/s10857-008-9079-7
Stockero, S. L., & Rupnow, R. L. (2017). Measuring noticing within complex mathematics classroom interactions. In E. O. Schack, M. H. Fisher, & J. Wilhelm (Eds.), Teacher noticing: Bridging and broadening perspectives, contexts, and frameworks (pp. 281–301). New York: Springer.
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.
Stockero, S. L., & Van Zoest, L. R. (2013). Characterizing pivotal teaching moments in beginning mathematics teachers’ practice. Journal of Mathematics Teacher Education, 16(2), 125–147. https://doi.org/10.1007/s10857-012-9222-3
Teuscher, D., Leatham, K. R., & Peterson, B. E. (2017). From a framework to a lens: Learning to notice student mathematical thinking. In E. O. Schack, M. H. Fisher, & J. A. Wilhelm (Eds.), Teacher noticing: Bridging and broadening perspectives, contexts, and frameworks (pp. 31–48). New York: Springer.
Ulusoy, F., & Çakıroğlu, E. (2018). Using video cases and small-scale research projects to explore prospective teachers’ noticing of student thinking. EURASIA Journal of Mathematics, Science, and Technology Education, 14(11), 59. https://doi.org/10.29333/ejmste/2020
van den Kieboom, L. A., Magiera, M. T., & Moyer, J. C. (2017). Learning to notice student thinking about the equal sign: K-8 preservice teachers’ experiences in a teacher preparation program. In E. O. Schack, M. H. Fisher, & J. A. Wilhelm (Eds.), Teacher noticing: Bridging and broadening perspectives, contexts, and frameworks (pp. 141–159). New York: Springer.
van Es, E. A., Cashen, M., Barnhart, T., & Auger, A. (2017). Learning to notice mathematics instruction: Using video to develop preservice teachers’ vision of ambitious pedagogy. Cognition and Instruction, 35(3), 165–187.
van Es, E. A., & Sherin, M. G. (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
Vondrová, N., & Žalská, J. (2015). Ability to notice mathematics specific phenomena: What exactly do student teachers attend to? Orbis scholae, 9(2), 77–101. https://doi.org/10.14712/23363177.2015.81
Walkoe, J. (2015). Exploring teacher noticing of student algebraic thinking in a video club. Journal of Mathematics Teacher Education, 18(6), 523–550. https://doi.org/10.1007/s10857-014-9289-0
Walkoe, J., Sherin, M., & Elby, A. (2019). Video tagging as a window into teacher noticing. Journal of Mathematics Teacher Education. https://doi.org/10.1007/s10857-019-09429-0
Acknowledgements
This work was funded in part by the National Science Foundation (NSF) under Grant no. 1052958. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author and do not necessarily reflect the views of the NSF. The author thanks Anna Pascoe, Rachel Rupnow, and Jacob Babb for their contributions to the data collection and analysis.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Stockero, S.L. Transferability of teacher noticing. ZDM Mathematics Education 53, 73–84 (2021). https://doi.org/10.1007/s11858-020-01198-y
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11858-020-01198-y