Pre-service teachers’ professional noticing when viewing standard and holographic recordings of children’s mathematics

Karl W. Kosko

doi:10.29333/iejme/12310

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Karl W. Kosko ¹ ^*

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¹ Kent State University, Kent, OH, USA^* Corresponding Author

Abstract

Professional teacher noticing is a key skill in preparing future elementary mathematics teachers, with the goal of increasing the specificity and sophistication of noticing children’s mathematical reasoning. One common effort scholars have engaged to improve teachers’ professional noticing is to improve the quality of representation. Recently, various scholars have found that extended reality based representations, such as 360 video and virtual reality, positively affect teachers’ noticing by increasing the realism (via perceptual capacity). The present study explored the use of holographic representations to determine whether the increased perceptual capacity afforded by an ability to “lean in” and observe children’s mathematics affected professional noticing. Findings and results provide preliminary support for this medium.

Keywords

professional noticing
extended reality
holograms
representations of practice
pedagogical content knowledge

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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.

Article Type: Research Article

INT ELECT J MATH ED, 2022, Volume 17, Issue 4, Article No: em0706

https://doi.org/10.29333/iejme/12310

Publication date: 06 Aug 2022

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References

Amador, J., Weston, T., Estapa, A. Kosko, K., & De Araujo, Z. (2016). Animations as a transformational approximation of practice to communicate professional noticing. Journal of Technology and Teacher Education, 24(2), 127-151. https://www.learntechlib.org/p/171240/
Atsikpasi, P., & Fokides, E. (2022). A scoping review of the educational uses of 6DoF HMDs. Virtual Reality, 26, 205-222. https://doi.org/10.1007/s10055-021-00556-9
Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59(5), 389-407. https://doi.org/10.1177%2F0022487108324554
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
Buchbinder, O., Brisard, S., Butler, R., & McCrone, S. (2021). Preservice secondary mathematics teachers’ reflective noticing from 360-degree video recordings of their own teaching. Journal of Technology and Teacher Education, 29(3), 279-308.
Christ, T., Arya, P., & Chiu, M. M. (2017). Video use in teacher education: An international survey of practices. Teaching and Teacher Education, 63, 22-35. https://doi.org/10.1016/j.tate.2016.12.005
Copur-Gencturk, Y., Tolar, T., Jacobson, E., & Fan, W. (2019). An empirical study of the dimensionality of the mathematical knowledge for teaching construct. Journal of Teacher Education, 70(5), 485-497.https://doi.org/10.1177%2F0022487118761860
Creswell, J. W., & Plano Clark, V. L. (2018). Designing and conducting mixed methods research. SAGE.
Dick, L. K. (2017). Investigating the relationship between professional noticing and specialized content knowledge. In E. O. Schack, M. H. Fisher, & J. A. Wilhelm (Eds.), Teacher noticing: Bridging and broadening perspectives, contexts, and frameworks (pp. 339-358). Springer. https://doi.org/10.1007/978-3-319-46753-5_20
Extended Reality Initiative at Kent State [XRi] (2022a, June 22). Ben and Katherine – Fraction Division [Standard Video]. https://www.youtube.com/watch?v=NgvqcQzoUXc
Extended Reality Initiative at Kent State [XRi] (2022b, June 22). Ben and Katherine – Fraction Division [Volumetric Video]. https://holoxr.guans.cs.kent.edu
Ferdig, R. E., & Kosko, K. W. (2020) Implementing 360 video to increase immersion, perceptual capacity, and teacher noticing. TechTrends, 64, 849-859. https://doi.org/10.1007/s11528-020-00522-3
Ferdig, R. E., Kosko, K. W., & Gandolfi, E. (2020). Effect and influence of ambisonic audio in viewing 360 video. Journal of Virtual Worlds Research, 13(2-3), 1-14. https://jvwr.net/wp-content/uploads/2020-Assembled-The-Use-of-Ambisonic-Audio-to-Improve-Presence.pdf
Fisher, M. H., Thomas, J., Schack, E. O., Jong, C., & Tassell, J. (2018). Noticing numeracy now! Examining changes in preservice teachers’ noticing, knowledge, and attitudes. Mathematics Education Research Journal, 30(2), 209-232. https://doi.org/10.1007/s13394-017-0228-0
Francis, D. C., Eker, A., Liu, J., Lloyd, K., & Bharaj, P. (in press). (Mis)alignment between noticing and instructional quality: The role of psychological and cognitive constructs. Journal of Mathematics Teacher Education. https://doi.org/10.1007/s10857-021-09509-0
Friesen, M., & Kuntze, S. (2018). Competence assessment with representations of practice in text, comic and video format. In O. Buchbinder, & S. Kuntze (Eds.), Mathematics teachers engaging with representations of practice (pp. 113-130). Springer. https://doi.org/10.1007/978-3-319-70594-1_7
Gaudin, C., & Chaliès, S. (2015). Video viewing in teacher education and professional development: A literature review. Educational Research Review, 16, 41-67. https://doi.org/10.1016/j.edurev.2015.06.001
Gold, B., & Windscheid, J. (2020). Observing 360-degree classroom videos–Effects of video type on presence, emotions, workload, classroom observations, and ratings of teaching quality. Computers & Education, 156. https://doi.org/10.1016/j.compedu.2020.103960
Grossman, P., Compton, C., Igra, D., Ronfeldt, M., Shahan, E., & Williamson, P. W. (2009), Teaching practice: A cross-professional perspective. Teachers College Record, 111(9), 2055-2100. https://doi.org/10.1177%2F016146810911100905
Hackenberg, A. J. (2010). Students’ reasoning with reversible multiplicative relationships. Cognition and Instruction, 28(4), 383-432. https://doi.org/10.1080/07370008.2010.511565
Halliday, M. A. K., & Matthiessen, C. M. I. M. (2014). Halliday’s introduction to functional grammar. Routledge. https://doi.org/10.4324/9780203431269
Herbst, P. (2017). On dialogue and stories as representations of practice: An introduction. In R. Zazkis, & P. Herbst (Eds.), Scripting approaches in mathematics education: Mathematical dialogues in research and practice (pp. 1-20). Springer. https://doi.org/10.1007/978-3-319-62692-5_1
Herbst, P., Aaron, W., & Erickson, A. (2013, April 30). How preservice teachers respond to representations of practice: A comparison of animations and video [Paper presentation]. Annual Meeting of the American Educational Research Association, San Francisco, CA, United States.
Hill, H. C., Ball, D. L., & Schilling, S. G. (2008). Unpacking pedagogical content knowledge: Conceptualizing and measuring teachers’ topic-specific knowledge of students. Journal for Research in Mathematics Education, 39(4), 372-340. https://doi.org/10.5951/jresematheduc.39.4.0372
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. https://doi.org/10.1111/j.1949-8594.2012.00161.x
Huang, Y., Richter, E., Kleickmann, T., Wiepke, A., & Richter, D. (2021). Classroom complexity affects student teachers’ behavior in a VR classroom. Computers & Education, 163. https://doi.org/10.1016/j.compedu.2020.104100
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. https://doi.org/10.5951/jresematheduc.41.2.0169
Jong, C., Schack, E. O., Fisher, M. H., Thomas, J., & Dueber, D. (2021). What role does professional noticing play? Examining connections with affect and mathematical knowledge for teaching among preservice teachers. ZDM–Mathematics Education, 53(1), 151-164. https://doi.org/10.1007/s11858-020-01210-5
Kosko, K. W., Ferdig, R. E., & Roche, L. (2021a). Editorial: Conceptualizing a shared definition and future directions for extended reality (XR) in teacher education. Journal of Technology and Teacher Education, 29(3), 257-278. https://www.learntechlib.org/primary/p/219894/
Kosko, K. W., Ferdig, R. E., & Zolfaghari, M. (2021b). Preservice teachers’ professional noticing when viewing standard and 360 video. Journal of Teacher Education, 72(3), 284-297. https://doi.org/10.1177/0022487120939544
Kosko, K. W., Heisler, J., & Gandolfi, E. (2022). Using 360-degree video to explore teachers’ professional noticing. Computers and Education, 180, 1-13. https://doi.org/10.1016/j.compedu.2022.104443
Luke, S. E., Ford, D., Vaughn, M., & Fulchini-Scruggs, A. (2021). Using mixed reality simulation and roleplay to develop preservice teachers’ metacognitive awareness. Journal of Technology and Teacher Education, 29(3), 389-413.
Prestridge, S., Exley, B., Pendergast, D., O’Brien, M., Cox, D., & Schmid, M. (2021). Teaching in a 3D virtual world–Defining teacher practices. Journal of Technology and Teacher Education, 29(3), 415-445.
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. https://doi.org/10.1007/s10857-013-9240-9
Seidel, T., Sturmer, K., Blomberg, G., Kobarg, M., & Scwindt, K. (2011). Teacher learning from analysis of videotaped classroom situations: Does it make a difference whether teachers observe their own teaching or that of others? Teaching and Teacher Education, 27, 259-267. https://doi.org/10.1016/j.tate.2010.08.009
Sherin, M. G., Russ, R. S., Sherin, B. L., & Colestock, A. (2008). Professional vision in action: An exploratory study. Issues in Teacher Education, 17(2), 27-46.
Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4-14. https://doi.org/10.3102%2F0013189X015002004
Siegel, S., & Castellan Jr., N. J. (1988). Nonparametric statistics for the behavioral sciences. McGraw-Hill Humanities/Social Sciences/Languages.
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, 335-355. https://doi.org/10.1007/s10857-016-9352-0
Somers, R. H. (1962). A new asymmetric measure of association for ordinal variables. American Sociological Review, 27(6), 799-811. https://doi.org/10.2307/2090408
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., & Rupnow, R. L. (2017). Measuring noticing within complex mathematics classroom interactions. In E. O. Schack, M. H. Fischer, & J. A. Wilhelm (Eds.), Teacher noticing: Bridging and broadening perspectives, contexts, and frameworks (pp. 281-301). Springer. https://doi.org/10.1007/978-3-319-46753-5_17
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. Fischer, & J. A. Wilhelm (Eds.), Teacher noticing: Bridging and broadening perspectives, contexts, and frameworks (pp. 31-48). Springer. https://doi.org/10.1007/978-3-319-46753-5_3
Theelen, H., van den Beemt, A., & den Brok, P. (2022). Enhancing authentic learning experiences in teacher education through 360-degree videos and theoretical lectures: Reducing preservice teachers’ anxiety. European Journal of Teacher Education, 45(2), 230-249. https://doi.org/10.1080/02619768.2020.1827392
Tyminski, A. M., Simpson, A. J., Land, T. J., Drake, C., & Dede, E. (2021). Prospective elementary mathematics teachers’ noticing of childrens’ mathematics: A focus on extending moves. Journal of Mathematics Teacher Education, 24(6), 533-561. https://doi.org/10.1007/s10857-020-09472-2
van Es, E. A., & Sherin, M. G. (2021). Expanding on prior conceptualizations of teacher noticing. ZDM–Mathematics Education, 53(1), 17-27. https://doi.org/10.1007/s11858-020-01211-4
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. https://doi.org/10.1080/07370008.2017.1317125
van Es, E. A., Stockero, S. L., Sherin, M. G., Van Zoest, L. R., & Dyer, E. (2015). Making the most of teacher self-captured video. Mathematics Teacher Educator, 4(1), 6-19. https://doi.org/10.5951/mathteaceduc.4.1.0006
van Es, E., & Sherin, M. (2002). Learning to notice: Scaffolding new teachers’ interpretations of classroom interactions. Journal of Technology and Teacher Education, 10(4), 571-596.
Walshe, N., & Driver, P. (2019). Developing reflective trainee teacher practice with 360-degree video. Teaching and Teacher Education, 78, 97-105. https://doi.org/10.1016/j.tate.2018.11.009
Weston, T. L., & Amador, J. M. (2021). Investigating student teachers’ noticing using 360 video of their own teaching. Journal of Technology and Teacher Education, 29(3), 309-338.
Yang, X., Kaiser, G., König, J., & Blömeke, S. (2021a). Relationship between Chinese mathematics teachers’ knowledge and their professional noticing. International Journal of Science and Mathematics Education, 19, 815-837. https://doi.org/10.1007/s10763-020-10089-3
Yang, X., König, J., & Kaiser, G. (2021b). Growth of professional noticing of mathematics teachers: A comparative study of Chinese teachers noticing with different teaching experiences. ZDM–Mathematics Education, 53(1), 29-42. https://doi.org/10.1007/s11858-020-01217-y
Yoo, H., Jang, J., Oh, H., & Park, I. (2022). The potentials and trends of holography in education: A scoping review. Computers & Education, 186, 1-16. https://doi.org/10.1016/j.compedu.2022.104533
Zolfaghari, M., Austin, C. K., & Kosko, K. W. (2021). Exploring teachers’ pedagogical content knowledge of teaching fractions. Investigations in Mathematics Learning, 13(3), 230-248. https://doi.org/10.1080/19477503.2021.1963145
Zolfaghari, M., Kosko, K. W., & Austin, C. K. (in press). Examining the nature of pedagogical content knowledge (PCK) with a validation argument for the PCK-Fractions measure. In Proceeding of the 44^rd annual meeting of the North American Chapter for the Psychology of Mathematics Education. Nashville, TN.

How to cite this article

APA

Kosko, K. W. (2022). Pre-service teachers’ professional noticing when viewing standard and holographic recordings of children’s mathematics. International Electronic Journal of Mathematics Education, 17(4), em0706. https://doi.org/10.29333/iejme/12310

Vancouver

Kosko KW. Pre-service teachers’ professional noticing when viewing standard and holographic recordings of children’s mathematics. INT ELECT J MATH ED. 2022;17(4):em0706. https://doi.org/10.29333/iejme/12310

AMA

Kosko KW. Pre-service teachers’ professional noticing when viewing standard and holographic recordings of children’s mathematics. INT ELECT J MATH ED. 2022;17(4), em0706. https://doi.org/10.29333/iejme/12310

Chicago

Kosko, Karl W.. "Pre-service teachers’ professional noticing when viewing standard and holographic recordings of children’s mathematics". International Electronic Journal of Mathematics Education 2022 17 no. 4 (2022): em0706. https://doi.org/10.29333/iejme/12310

Harvard

Kosko, K. W. (2022). Pre-service teachers’ professional noticing when viewing standard and holographic recordings of children’s mathematics. International Electronic Journal of Mathematics Education, 17(4), em0706. https://doi.org/10.29333/iejme/12310

MLA

Kosko, Karl W. "Pre-service teachers’ professional noticing when viewing standard and holographic recordings of children’s mathematics". International Electronic Journal of Mathematics Education, vol. 17, no. 4, 2022, em0706. https://doi.org/10.29333/iejme/12310