The Integration of Digital Technology in Task-Design on Eye-Tracking Studies in Geometry

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https://doi.org/10.17583/redimat.15041

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Abstract

Eye-tracking (ET) method provides a promising channel for educational researchers to connect learning outcomes to cognitive processes. The main principle of ET is that our gaze and our focus of attention are connected. Due to the advent of digital technologies, eye tracking studies are increasingly growing in different fields and in mathematics education. We assume that the provided task is one of the ways to analyse deeply cognitive processes, and we wonder how ET studies are dealing with the integration of digital technology in task-design in geometry. Starting from Strohmaier et al. (2020) we found three studies, one focused on geometric proofs and two based on construction of geometric objects. We highlight the contributions of integrating digital technology in learning and instruction, and in research in geometry.

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Alqassab, M., Strijbos, J.-W., & Ufer, S. (2018). The impact of peer solution quality on peer-feedback provision on geometry proofs: Evidence from eye-movement analysis. Learning and Instruction, 58, 182–192. https://doi.org/10.1016/j.learninstruc.2018.07.003

Google Scholar Crossref

Andrá, C., Lindström, P., Arzarello, F., Holmqvist, K., Robutti, O., & Sabena, C. (2015). Reading mathematics representations: An eye-tracking study. International Journal of Science and Mathematics Education, 13(2), 237-259. doi:10.1007/s10763-013-9484-y

Google Scholar Crossref

Bairral, M., Aldon, G. (submitted). A review based on task design on eye-tracking studies. JRAMathEdu.

Google Scholar Crossref

Bairral, M. A., Menezes, R. O., & Henrique, M. P. (2024). Uso do rastreamento ocular na formação de professores: uma revisão em geometria (Use of eye tracking in teacher training: a review in geometry). Boletim Gepem, 83.

Google Scholar Crossref

Campbell, S. R., Handscomb, K., Zaparyniuk, N. E., Sha, L., Cimen, O. A., & Shipulina, O. V. (2009). Investigating image-based perception and reasoning in geometry. Paper presented at the American Educational Research Association: Brain, Neuroscience, and Education SIG, San Diego, CA, U.S.A.

Google Scholar Crossref

Chen, Y-C; Yang, F-Y. (2014). Probing the relationship between process of spatial problems solving and science learning: An eye tracking approach. International Journal of Science and Mathematics Education, 12(3), p. 579-603.

Google Scholar Crossref

Deng, R., & Gao, Y. (2022). A review of eye tracking research on video-based learning. Education and Information Technologies. doi:10.1007/s10639-022-11486-7

Google Scholar Crossref

Epelboim, J.; Suppes, P. (2001). A model of eye movements and visual working memory during problem solving in geometry. Vision Research, 41(12), 1561-1574.

Google Scholar Crossref

Fry, C. J. (1988). Eye fixations during the reading and solution of word problems containing extraneous information: Relation to spatial visualization ability. In: BORBA, A. (Org.). Proceedings of the 12th PME International Conference, p. 326-333.

Google Scholar Crossref

Garcia Moreno-Esteva, E., Kervinen, A., Hannula, M. S., & Uitto, A. (2020). Scanning Signatures: A Graph Theoretical Model to Represent Visual Scanning Processes and A Proof of Concept Study in Biology Education. Education Sciences, 10(5), 141. Retrieved from https://www.mdpi.com/2227-7102/10/5/141

Google Scholar Crossref

Glenberg, A. M. (2008). Embodiment for Education. In P. Calvo & A. Gomila (Eds.), Handbook of Cognitive Science (pp. 355-372). San Diego: Elsevier.

Google Scholar Crossref

Haataja, E., Moreno-Esteva, E. G., Toivanen, M., & Hannula, M. S. (2018). Teacher’s gaze behaviour when scaffolding peer interaction and mathematical thinking during collaborative problem-solving activity. Paper presented at the Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education, Umeå

Google Scholar Crossref

Hannula, M. S., Toivanen, M., & Garcia Moreno-Esteva, E. (2019). Eye movements during collaborative geometry problem solving lesson. Paper presented at the Proceedings of the PME and Yandex Russian conference: Technology and Psychology for Mathematics Education.

Google Scholar Crossref

Hodds, M., Alcock, L., & Inglis, M. (2014). Self-Explanation Training Improves Proof Comprehension. Journal for Research in Mathematics Education, 45(1), 62-101. doi:10.5951/jresematheduc.45.1.0062

Google Scholar Crossref

Inglis, M., & Alcock, L. (2012). Expert and Novice Approaches to Reading Mathematical Proofs. Journal for Research in Mathematics Education JRME, 43(4), 358-390. doi:10.5951/jresematheduc.43.4.0358

Google Scholar Crossref

Klein, P.; Viiri, J.; Mozaffari, S.; Dengel, A.; Kuhn, J. (2018). Instruction-based clinical eye-tracking study on the visual interpretation of divergence: How do students look at vector field plots? Physical Review Physics Education Research, 14(1).

Google Scholar Crossref

Krichevets, A. N.; Shvarts, A. Y.; Chumachenko, D. V. (2014). Perceptual action of novices and experts in operating visual representations of a mathematical concept. Психология. Журнал Высшей школы экономики, 11(3), 55-78.

Google Scholar Crossref

Lai, M.-L., Tsai, M.-J., Yang, F.-Y., Hsu, C.-Y., Liu, T.-C., Lee, S. W.-Y., . . . Tsai, C.-C. (2013). A review of using eye-tracking technology in exploring learning from 2000 to 2012. Educational Research Review, 10, 90-115. https://doi.org/10.1016/j.edurev.2013.10.001

Google Scholar Crossref

Lee, W.-K.; Wu, C.-J. (2017). Eye movements in integrating geometric text and figure: Scanpaths and given-new effects. International Journal of Science and Mathematics Education, 16(4), 699-714.

Google Scholar Crossref

Lilienthal, A. J., & Schindler, M. (2019). Current Trends in Eye Tracking Research in Mathematics Education: A PME Literature Review.

Google Scholar Crossref

Lin, T.-W., Wu, C.-J., & Sommers, S. (2012). The influence of reading figures in geometry text on eye movement. In T. Y. Tso (Ed.), Proceedings of the 36th Conference of the International Group for the Psychology of Mathematics Education (Vol. 3, pp. 147–152). Taipeh, Taiwan: PME.

Google Scholar Crossref

Lin, J.-H.; Lin, S. S. J. (2013). Cognitive load for configuration comprehension in computer-supported geometry problem solving: An eye movement perspective. International Journal of Science and Mathematics Education, 12(3), 605-627.

Google Scholar Crossref

Lin, J. J.-H.; Lin, S. S. J. (2014). Tracking eye movements when solving geometry problems with handwriting devices. Journal of Eye Movement Research, 7(1).

Google Scholar Crossref

Merschmeyer-Brüwer, C. (2001). How do primary school pupils “see” and structure two-dimensional representations of cube configurations? Case studies with analyses of eye movements during spatial structuring processes. In: TÖRNER, Günter et al. (Org.). Developments in mathematics education in German-speaking countries. Selected Papers from the Annual Conference on Didactics of Mathematics, Ludwigsburg, p. 83-97.

Google Scholar Crossref

Muldner, K. K. M. A. E., & Burleson, W. (2015). Utilizing sensor data to model students’ creativity in a digital environment. Computers in Human Behavior, 42, 127–137. https://doi.org/10.1016/j.chb.2013.10.060

Google Scholar Crossref

Nemirovsky, R., Kelton, M. L., & Rhodehamel, B. (2013). Playing mathematical instruments: Emerging perceptuomotor integration with an interactive mathematics exhibit. Journal for Research in Mathematics Education, 44(2), 372-415.

Google Scholar Crossref

Ögren, M.; Nyström, M.; Jarodzka, H. (2017). There’s more to the multimedia effect than meets the eye: is seeing pictures believing? Instructional Science, 45(2), 263-287, 2017.

Google Scholar Crossref

Radford, L. (2014). Towards an embodied, cultural, and material conception of mathematics cognition. ZDM – The international journal on Mathematics Education, 46(3), 349-361. doi:10.1007/s11858-014-0591-1

Google Scholar Crossref

Roach, V. A.; Frazer, G. M.; Kryklywy, J. H.; Mitchell, D. G.V.; Wilson, T. D. (2016). The eye of the beholder: Can patterns in eye movement reveal aptitudes for spatial reasoning? Anatomical Sciences Education, 9(4), 357-366.

Google Scholar Crossref

Schimpf, F., & Spannagel, C. (2011). Reducing the graphical user interface of a dynamic geometry system. ZDM, 43(3), 389-397. doi:10.1007/s11858-011-0325-6

Google Scholar Crossref

Schindler, M., Lilienthal, A. J., Chadalavada, R., & Ögren, M. (2016). Creativity in the eye of the student. Refining investigations of mathematical creativity using eye-tracking goggles. In C. Csíkos, A. Rausch, & J. Szitányi (Eds.), Proceedings of the 40th Conference of the International Group for the Psychology of Mathematics Education (vol. 4, pp. 163–170). Szeged, Hungary: PME.

Google Scholar Crossref

Shvarts, A. (2018). A dual eye-tracking study of objectification as student-tutor joint activity appropriation, in Bergqvist, E., Österholm, M., Granberg, C., & Sumpter, L. (Eds.). Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education (Vol. 4, pp. 171-178). Umeå, Sweden: PME.

Google Scholar Crossref

Soares, R. d. S., Lukasova, K., Carthery-Goulart, M. T., & Sato, J. R. (2021). Student’s Perspective and Teachers’ Metacognition: Applications of Eye-Tracking in Education and Scientific Research in Schools. Frontiers in Psychology, 12. https://doi.org/10.3389/fpsyg.2021.673615

Google Scholar Crossref

Stein, M. K., & Lane, S. (1996). Instructional Tasks and the Development of Student Capacity to Think and Reason: An Analysis of the Relationship between Teaching and Learning in a Reform Mathematics Project. Educational Research and Evaluation, 2(1), 50-80. https://doi.org/10.1080/1380361960020103

Google Scholar Crossref

Stein, M. K., & Smith, M. S. (1998). Mathematical Tasks as a Framework for Reflection: From Research to Practice. Mathematics Teaching in the Middle School, 3(4), 268-275. Retrieved from http://blog.ncue.edu.tw/sys/lib/read_attach.php?id=3954

Google Scholar Crossref

Stein, M. K., Smith, M. S., Henningsen, M., & Silver, E. A. (2000). Implementing standards-based mathematics instruction: A casebook for professional development. New York: Teachers College Press.

Google Scholar Crossref

Strohmaier, A. R., MacKay, K. J., Obersteiner, A., & Reiss, K. M. (2020). Eye-tracking methodology in mathematics education research: A systematic literature review. Educational Studies in Mathematics, 104(2), 147-200. https://doi.org/10.1007/s10649-020-09948-1

Google Scholar Crossref

Verdine, B. N.; Bunger, A.; Athanasopoulou, A.; Golinkoff, R. M.; Hirsh-Pasek, K. (2017). Shape up: An eye-tracking study of preschoolers’ shape name processing and spatial development. Developmental Psychology, 53(10), 1869-1880.

Google Scholar Crossref

Xolocotzin, U., Inglis, M., & Medrano, A. (2020). Eye-tracking the effects of visual representations: Linking vision and mathematical reasoning. Paper presented at the Proceedings of the 42nd Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Mexico. Cinvestav.

Google Scholar Crossref

Wang, H.-S.; Chen, Y-T.; Lin, C-H. (2013). The learning benefits of using eye trackers to enhance the geospatial abilities of elementary school students. British Journal of Educational Technology, 45(2), 340-355.

Google Scholar Crossref

Wilson, A., & Golonka, S. (2013). Embodied Cognition is Not What you Think it is. Frontiers in Psychology, 4. doi:10.3389/fpsyg.2013.00058

Google Scholar Crossref

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2024-06-21

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