Students in sight: Using mobile eye-tracking to investigate mathematics teachers’ gaze behaviour during task instruction-giving

Main Article Content

Olli Maatta
Nora McIntyre
Jussi Palomäki
Markku S. Hannula
Patrik Scheinin
Petri Ihantola

Abstract

Abstract


Mobile eye-tracking research has provided evidence both on teachers' visual attention in relation to their intentions and on teachers’ student-centred gaze patterns. However, the importance of a teacher’s eye-movements when giving instructions is unexplored. In this study we used mobile eye-tracking to investigate six teachers’ gaze patterns when they are giving task instructions for a geometry problem in four different phases of a mathematical problem-solving lesson. We analysed the teachers’ eye-tracking data, their verbal data, and classroom video recordings. Our paper brings forth a novel interpretative lens for teacher’s pedagogical intentions communicated by gaze during teacher-led moments such as when introducing new tasks, reorganizing the social structures of students for collaboration, and lesson wrap-ups. A change in the students’ task changes teachers’ gaze patterns, which may indicate a change in teacher’s pedagogical intention. We found that teachers gazed at students throughout the lesson, whereas teachers’ focus was at task-related targets during collaborative instruction-giving more than during the introductory and reflective task instructions. Hence, we suggest two previously not detected gaze types: contextualizing gaze for task readiness and collaborative gaze for task focus to contribute to the present discussion on teacher gaze

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How to Cite
Maatta, O., McIntyre, N., Palomäki, J. ., Hannula, M. S., Scheinin, P., & Ihantola, P. (2021). Students in sight: Using mobile eye-tracking to investigate mathematics teachers’ gaze behaviour during task instruction-giving. Frontline Learning Research, 9(4), 92–115. https://doi.org/10.14786/flr.v9i4.965
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References

Andersen, J. F. (1979). Teacher immediacy as a predictor of teaching effectiveness. Communication Yearbook, 3, 543. https://doi.org/10.1080/23808985.1979.11923782

Anderson, N. C., Anderson, F., Kingstone, A., & Bischof, W. F. (2015). A comparison of scanpath comparison methods. Behaviour Research Methods, 47(4), 1377-1392. https://doi.org/10.3758/s13428-014-0550-3

Baron-Cohen, S. (1997). How to build a baby that can read minds: Cognitive mechanisms in mindreading. The Maladapted Mind: Classic Readings in Evolutionary Psychopathology, 207-239.

Berliner, D. C. (2004). Describing the behaviour and documenting the accomplishments of expert teachers. Bulletin of Science, Technology & Society, 24(3), 200-212. https://doi.org/10.1177/0270467604265535

Christophel, D. M. (1990). The relationships among teacher immediacy behaviours, student motivation, and learning. Communication Education, 39(4), 323-340. https://doi.org/10.1080/03634529009378813

Cohen, P. R., & Levesque, H. J. (1990). Intention is choice with commitment. Artificial Intelligence, 42(2-3), 213-261. https://doi.org/10.1016/0004-3702(90)90055-5

Cortina, K. S., Miller, K. F., McKenzie, R., & Epstein, A. (2015). Where low and high inference data converge: Validation of CLASS assessment of mathematics instruction using mobile eye tracking with expert and novice teachers. International Journal of Science and Mathematics Education, 13(2), 389-403. https://doi.org/10.1007/s10763-014-9610-5

Csibra, G., & Gergely, G. (2009). Natural pedagogy. Trends in Cognitive Sciences, 13(4), 148-153. https://doi.org/10.1016/j.tics.2009.01.005

ELAN (Version 5.3) [Computer software]. (2018). Nijmegen: Max Planck Institute for Psycholinguistics, The Language Archive. Retrieved from https://archive.mpi.nl/tla/elan

Ericsson, K. A., & Simon, H. A. (1980). Verbal reports as data. Psychological Review, 87(3), 215. https://doi.org/10.1037/0033-295X.87.3.215

Farroni, T., Csibra, G., Simion, F., & Johnson, M. H. (2002). Eye contact detection in humans from birth. Proceedings of the National Academy of Sciences, 99(14), 9602-9605. https://doi.org/10.1073/pnas.152159999

Foulsham, T., & Underwood, G. (2008). What can saliency models predict about eye movements? spatial and sequential aspects of fixations during encoding and recognition. Journal of Vision, 8(2), 6. https://doi.org/10.1167/8.2.6

Frey, N., & Fisher, D. (2010). Identifying instructional moves during guided learning. The Reading Teacher, 64(2), 84-95. https://doi.org/10.1598/RT.64.2.1

Frymier, A. B. (1994). A model of immediacy in the classroom. Communication Quarterly, 42(2), 133-144. https://doi.org/10.1080/01463379409369922

Gegenfurtner, A., Lehtinen, E., & Säljö, R. (2011). Expertise differences in the comprehension of visualizations: A meta-analysis of eye tracking research in professional domains. Educational Psychology Review, 23(4), 523-552. https://doi.org/10.1007/s10648-011-9174-7

Gest, S. D., & Rodkin, P. C. (2011). Teaching practices and elementary classroom peer ecologies. Journal of Applied Developmental Psychology, 32(5), 288-296. https://doi.org/10.1016/j.appdev.2011.02.004

Haataja, E., Garcia Moreno-Esteva, E., Salonen, V., Laine, A., Toivanen, M., & Hannula, M. S. (2019). Teacher's visual attention when scaffolding collaborative mathematical problem solving. Teaching and Teacher Education, 86, 102877. https://doi.org/10.1016/j.tate.2019.102877

Haataja, E., Toivanen, M., Laine, A., & Hannula, M. S. (2019). Teacher-student eye contact during scaffolding collaborative mathematical problem-solving. LUMAT: International Journal on Math, Science and Technology Education, 7(2), 9-26.

Hattie, J. (2003). Teachers make a difference: What is the research evidence? Paper presented at the Building Teacher Quality: What does research tell us ACER Research Conference, Melbourne, Australia. Retrieved from http://research.acer.edu.au/research_conference_2003/4/

Hendrickx, M. M., Mainhard, M. T., Boor-Klip, H. J., Cillessen, A. H., & Brekelmans, M. (2016). Social dynamics in the classroom: Teacher support and conflict and the peer ecology. https://doi.org/10.1016/j.tate.2015.10.004

Holmqvist, K., & Andersson, R. (2017). Eye tracking: A comprehensive guide to methods, paradigms, and measures. Lund: Eye-Tracking Research Institute.

Holmqvist, K., Nyström, M., Andersson, R., Dewhurst, R., Jarodzka, H., & Van de Weijer, J. (2011). Eye tracking: A comprehensive guide to methods and measures. OUP Oxford.

Jarodzka, H., Holmqvist, K., & Gruber, H. (2017). Eye tracking in educational science: Theoretical frameworks and research agendas. Journal of Eye Movement Research, 10(1):3, 1-18. https://doi.org/10.16910/jemr.10.1.3

Jennings, P. A., & Greenberg, M. T. (2009). The prosocial classroom: Teacher social and emotional competence in relation to student and classroom outcomes. Review of Educational Research, 79(1), 491-525. https://doi.org/10.3102/0034654308325693

Johnson, H. L., Coles, A., & Clarke, D. (2017). Mathematical tasks and the student: Navigating “tensions of intentions” between designers, teachers, and students. Zdm, 49(6), 813-822. https://doi.org/10.1007/s11858-017-0894-0

Kaakinen, J. K. (2020). What can eye movements tell us about visual perception processes in classroom contexts? commentary on a special issue. Educational Psychology Review, 1-11. https://doi.org/10.1007/s10648-020-09573-7

Kounin, J. S. (1970). Discipline and group management in classrooms. New York: Holt, Rinehart & Winston.

Lester Jr, F. K. (1989). The role of metacognition in mathematical problem solving: A study of two grade seven classes. Final report.

Lukander, K., Toivanen, M., & Puolamäki, K. (2017). Inferring intent and action from gaze in naturalistic behavior: a review. International Journal of Mobile Human Computer Interaction (IJMHCI), 9(4), 41-57. https://doi.org/10.4018/IJMHCI.2017100104

Lukander, K., Toivanen, M., & Puolamäki, K. (2017). Probabilistic approach to robust wearable gaze tracking. https://doi.org/10.16910/jemr.10.4.2

McCroskey, J. C., Richmond, V. P., Sallinen, A., Fayer, J. M., & Barraclough, R. A. (1995). A cross-cultural and multi-behavioural analysis of the relationship between nonverbal immediacy and teacher evaluation. Communication Education, 44(4), 281-291. https://doi.org/10.1080/03634529509379019

McCluskey, R., Dwyer, J., & Sherrod, S. (2017). Teacher immediacy and learning mathematics: Effects on students with divergent mathematical aptitudes. Investigations in Mathematics Learning, 9(4), 157-170. https://doi.org/10.1080/19477503.2016.1245047

McIntyre, N. A., & Foulsham, T. (2018). Scanpath analysis of expertise and culture in teacher gaze in real-world classrooms. Instructional Science, 46(3), 435-455. https://doi.org/10.1007/s11251-017-9445-x

McIntyre, N. A., Jarodzka, H., & Klassen, R. M. (2019). Capturing teacher priorities: Using real-world eye-tracking to investigate expert teacher priorities across two cultures. Learning and Instruction, 60, 215-224. https://doi.org/10.1016/j.learninstruc.2017.12.003

McIntyre, N. A., Mainhard, M. T., & Klassen, R. M. (2017). Are you looking to teach? cultural, temporal and dynamic insights into expert teacher gaze. Learning and Instruction, 49, 41-53. http://dx.doi.org/10.1016/j.learninstruc.2016.12.005

McIntyre, N. A. (2016). Teach at First Sight: Expert Teacher Gaze Across Two Cultural Settings (Doctoral dissertation). University of York, York.

Mehrabian, A. (1970). A semantic space for nonverbal behaviour. Journal of Consulting and Clinical Psychology, 35(2), 248-257. https://doi.org/10.1037/h0030083

Mennie, N., Hayhoe, M., & Sullivan, B. (2007). Look-ahead fixations: Anticipatory eye movements in natural tasks. Experimental Brain Research, 179(3), 427-442. https://doi.org/10.1007/s00221-006-0804-0

Noton, D., & Stark, L. (1971). Scanpaths in saccadic eye movements while viewing and recognizing patterns. Vision Research, 11(9), 929-IN8. https://doi.org/10.1016/0042-6989(71)90213-6

Orquin, J. L., & Holmqvist, K. (2018). Threats to the validity of eye-movement research in psychology. Behaviour Research Methods, 50(4), 1645-1656. https://doi.org/10.3758/s13428-017-0998-z

Polya, G. (1948). How to solve it. Princeton, NJ. Princeton University Press.

Pouta, M., Lehtinen, E., & Palonen, T. (2020). Student teachers’ and experienced teachers’ professional vision of students’ understanding of the rational number concept. Educational Psychology Review, 1-20. https://doi.org/10.1007/s10648-020-09536-y

Richmond, V. P. (1990). Communication in the classroom: Power and motivation. Communication Education, 39(3), 181-195. https://doi.org/10.1080/03634529009378801

Rothkopf, C. A., Ballard, D. H., & Hayhoe, M. M. (2007). Task and context determine where you look. Journal of vision, 7(14), 16-16. https://doi.org/10.1167/7.14.16

Schurter, W. A. (2002). Comprehension monitoring: An aid to mathematical problem solving. Journal of Developmental Education, 26(2), 22.

Shteynberg, G. (2015). Shared attention. Perspectives on Psychological Science, 10(5), 579-590.

https://doi.org/10.1177/1745691615589104

Shteynberg, G., Hirsh, J. B., Apfelbaum, E. P., Larsen, J. T., Galinsky, A. D., & Roese, N. J. (2014). Feeling more together: Group attention intensifies emotion. Emotion (Washington, D.C.), 14(6), 1102-1114. https://doi.org/10.1037/a0037697

Simon, H. A. (1992). What is an “explanation” of behaviour? Psychological Science, 3(3), 150-161.

https://doi.org/10.1111/j.1467-9280.1992.tb00017.x

Stuermer, K., Seidel, T., & Holzberger, D. (2016). Intra-individual differences in developing professional vision: Preservice teachers’ changes in the course of an innovative teacher education program. Instructional Science, 44(3), 293-309. https://doi.org/10.1007/s11251-016-9373-1

Tatler, B. W., Kirtley, C., Macdonald, R. G., Mitchell, K. M., & Savage, S. W. (2014). The active eye: Perspectives on eye movement research. In Current trends in eye tracking research (pp. 3-16). Springer, Cham. https://doi.org/10.1007/978-3-319-02868-2_1

Tatler, B. W., & Land, M. F. (2016). Everyday visual attention. Handbook of Attention, 391-422.

Tomasello, M., & Carpenter, M. (2007). Shared intentionality. Developmental Science, 10(1), 121-125. https://doi.org/10.1111/j.1467-7687.2007.00573.x

Tomasello, M., Carpenter, M., Call, J., Behne, T., & Moll, H. (2005). Understanding and sharing intentions: The origins of cultural cognition. Behavioural and Brain Sciences, 28(5), 675-735. https://doi.org/10.1017/S0140525X05000129

Toom, A. (2006). Tacit pedagogical knowing at the core of teacher's professionality.

Van de Pol, J., Volman, M., & Beishuizen, J. (2010). Scaffolding in teacher-student interaction: A decade of research. Educational Psychology Review, 22(3), 271-296. https://doi.org/10.1007/s10648-010-9127-6

van den Bogert, N., van Bruggen, J., Kostons, D., & Jochems, W. (2014). First steps into understanding teachers' visual perception of classroom events. Teaching and Teacher Education, 37, 208-216. https://doi.org/10.1016/j.tate.2013.09.001

van der Want, A. C., den Brok, P., Beijaard, D., Brekelmans, M., Claessens, L. C., & Pennings, H. J. (2015). Teachers' interpersonal role identity. Scandinavian Journal of Educational Research, 59(4), 424-442. https://doi.org/10.1080/00313831.2014.904428

Van Manen, M. (1991). Reflectivity and the pedagogical moment: The normativity of pedagogical thinking and acting. Journal of Curriculum Studies, 23(6), 507-536. https://doi.org/10.1080/0022027910230602

Van Tartwijk, J., Brekelmans, M., Wubbels, T., Fisher, D. L., & Fraser, B. J. (1998). Students’ perceptions of teacher interpersonal style: The front of the classroom as the teacher’s stage. Teaching and Teacher Education, 14(6), 607-617. https://doi.org/10.1016/S0742-051X(98)00011-0

Witt, P. L., Wheeless, L. R., & Allen, M. (2004). A meta-analytical review of the relationship between teacher immediacy and student learning. Communication Monographs, 71(2), 184-207. https://doi.org/10.1080/036452042000228054

Wolff, C. E., Jarodzka, H., van den Bogert, N., & Boshuizen, H. P. (2016). Teacher vision: Expert and novice teachers’ perception of problematic classroom management scenes. Instructional Science, 44(3), 243-265. https://doi.org/10.1007/s11251-016-9367-z

Wolff, C. E., Jarodzka, H., & Boshuizen, H. P. (2017). See and tell: Differences between expert and novice teachers’ interpretations of problematic classroom management events. Teaching and Teacher Education, 66, 295-308. https://doi.org/10.1016/j.tate.2017.04.015