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RESEARCH PAPER
Research on visualization in probability problem solving
1
Department of Primary Education, Faculty of Social Sciences, University of the Aegean, Rhodes, GREECE
Online publication date: 2023-03-12
Publication date: 2023-04-01
EURASIA J. Math., Sci Tech. Ed 2023;19(4):em2247
KEYWORDS
ABSTRACT
The importance of visual representations in education and mathematics is well known.
Probabilities are a domain in mathematics that uses many visual representations since their theory
consists of a variety of diagrams and graphs. In the past, many studies have shown that the use
of various representations in teaching probabilities can greatly improve learning. Of course, the
use of a visual representation or a visual tool when teaching or solving an exercise can have a
variety of roles. The present work is based on the ancillary and informative role of the image. The
following research examines the extent to which students, by solving a probability problem, have
the need to use a visual representation or image. Additionally, the differences in student
performance are investigated, given the role of the image in the activity. This knowledge can
improve the teaching methods of probabilities and, with their appropriate use, school textbooks.
The results show that there are more perspectives but also needs for research on the use of visual
representations for the teaching of probabilities. The presence of the image works as a motivating
factor for children to solve a problem with a lack of probabilistic knowledge, but the role of the
image affects their final performance.
REFERENCES (38)
1.
Andreadakis, S., Katsargiris, B., Papastavridis, S., Polyzos, G., Sverkos, A., Adamopoulos, A., & Damianou, C. (2017). Algebra and probability elements: High school first class. ITYE-Diophantus.
2.
Astafieva, M., Bodnenko, D., Lytvyn, O., & Proshkin, V. (2022). The use of digital visualization tools to form mathematical competence of students. In Proceedings of the 16th International Conference on ICT in Education. Research, and Industrial Applications. Borys Grinchenko Kyiv University.
3.
Batanero, C., Chernoff, E. J., Engel, J., Lee, H. S., & Sánchez, E. (2016). Research on teaching and learning probability. Springer International Publishing.
4.
Binder, K., Krauss, S., & Wiesner, P. (2020). A new visualization for probabilistic situations containing two binary events: The frequency net. Frontiers in Psychology, 11. https://doi.org/10.3389/fpsyg.....
5.
Böcherer-Linder, K., Eichler, A., & Vogel, M. (2016). Proceedings of 13th International Congress on Mathematical Education. Springer.
6.
Bonnett, L., & White, S. (2018). May the odds be ever in your favor. Teaching Statistics, 40(3), 94-97. https://doi.org/10.1111/test.1....
7.
Carney, R. N., & Levin, J. R. (2002). Pictorial illustrations still improve students’ learning from text. Educational Psychology Review, 14(1), 101-120.
8.
Cioca, L., & Nerișanu, R. (2020). Enhancing creativity: Using visual mnemonic devices in the teaching process in order to develop creativity in students. Sustainability, 12(5), 1985. https://doi.org/10.3390/su1205....
9.
Clements, M. A. (2014). Fifty years of thinking about visualization and visualizing in mathematics education: A historical overview. In M. Fried, & T. Dreyfus (Eds.), Advances in mathematics education (pp. 177-192). Springer. https://doi.org/10.1007/978-94....
10.
de Oliveira, A. (2021). When risky decisions generate externalities. Journal of Risk and Uncertainty, 63(1), 59-79.https://doi.org/10.1007/s11166....
11.
Gao, Y., Zhai, X., Andersson, B., Zeng, P., & Xin, T. (2020). Developing a learning progression of buoyancy to model conceptual change: A latent class and rule space model analysis. Research in Science Education, 50(4), 1369-1388. https://doi.org/10.1007/s11165....
12.
Guzman, M. (2002). The role of visualization in the teaching and learning of mathematical analysis. In Proceedings of the International Conference on the Teaching of Mathematics.
13.
Hähkiöniemi, M. (2006). The role of representations in learning the derivative. Department of Mathematics and Statistics, University of Jyväskylä.
15.
Kadunz G., & Yerushalmy M. (2015). Visualization in the teaching and learning of mathematics. In S. Cho (Ed.), Proceedings of the 12th International Congress on Mathematical Education (pp. 463-468). Springer. https://doi.org/10.1007/978-3-....
16.
Konold, C. (2002). Understanding students’ beliefs about probability. In E. Von Glasersfeld (Ed.), Radical constructivism in mathematics education (pp. 139-156). Kluwer Academic Publishers. https://doi.org/10.1007/0-306-....
17.
Kress, G., & van Leeuwen, T. (2010). Reading images: The grammar of visual design. Epikentro.
18.
Kurniawan, H., Sutawidjaja, A., As’ari, A., & Muksar, M. (2018). The thinking process of students in representing images to symbols in fractions. Journal of Physics: Conference Series, 1028, 012138. https://doi.org/10.1088/1742-6....
19.
Loomes, G., & Pogrebna, G. (2014). Testing for independence while allowing for probabilistic choice. Journal of Risk and Uncertainty, 49, 189-211. https://doi.org/https://doi.or....
20.
Lowrie, T., Logan, T., & Hegarty, M. (2019). The influence of spatial visualization training on students’ spatial reasoning and mathematics performance. Journal of Cognition and Development, 20(5), 729-751. https://doi.org/10.1080/152483....
21.
Lukáč, S., & Gavala, T. (2019). Interactive learning environment supporting visualization in the teaching of probability. International Journal of Information and Communication Technologies in Education, 8(1), 48-60. https://doi.org/10.2478/ijicte....
22.
MacGillivray, H. (2018). Real probability and probabilistic thinking. Teaching Statistics, 40(2), 37-39. https://doi.org/10.1111/test.1....
23.
McCormick, J. B., Webb, P. A., Krebs, J. W., Johnson, K. M., & Smith, E. S. (1987). A prospective study of the epidemiology and Ecology of Lassa Fever. Journal of Infectious Diseases, 155(3), 437-444. https://doi.org/10.1093/infdis....
24.
Minarni, A., Napitupulu, E., & Husein, R. (2016). Mathematical understanding and representation ability of public junior high school in North Sumatra. Journal on Mathematics Education, 7(1), 43-56. https://doi.org/10.22342/jme.7....
25.
Munzner, T., & Maguire, E. (2015). Visualization analysis & design. CRC Press Taylor & Francis Group.
26.
Phillips, L., Norris, S., & Macnab, J. (2010). Visualization in mathematics, reading and science education. Springer. https://doi.org/10.1007/978-90....
27.
Pratt, D. (2000). Making sense of the total of two dice. Journal for Research in Mathematics Education, 31(5), 602-625. https://doi.org/10.2307/749889.
28.
Presmeg, N. (2006). Research on visualization in learning and teaching mathematics. In A. Gutiérrez, & P. Boero (Eds.), Handbook of research on the psychology of mathematics education: Past, present and future (pp. 205-236). Sense. https://doi.org/10.1163/978908....
29.
Rahman, M. M. (2019). 21st century skill “problem solving”: Defining the concept. Asian Journal of Interdisciplinary Research, 2(1), 64-74. https://doi.org/10.34256/ajir1....
30.
Rau, M. (2020). Comparing multiple theories about learning with physical and virtual representations: Conflicting or complementary effects? Educational Psychology Review, 32(2), 297-325. https://doi.org/10.1007/s10648....
31.
Schuman, C., Stofer, K. A., Anthony, L., Neff, H., Chang, P., Soni, N., Darrow, A., Luc, A., Morales, A., Alexandre, J., & Kirkland, B. (2022). Ocean data visualization on a touchable demonstrates group content learning, science practices use, and potential embodied cognition. Research in Science Education, 52(2), 445-457. https://doi.org/10.1007/s11165....
32.
Shvarts, A., & Chumachenko, D. (2011). Representations in the development of mathematical concepts. In Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education. PME.
33.
Sirivianou, Y., & Valanides, N. (2010). Science and mathematics education conference. In Facilitating authentic learning experiences in science and mathematics (pp. 131-135). CASTeL.
34.
Stavropoulou, S., & Gagatsis, A. (2006). Static and dynamic representations: the case of probabilities. In Proceedings 9th Conference of the Pedagogical Society of Cyprus.
35.
Sung, E. (2017). The influence of visualization tendency on problem-solving ability and learning achievement of primary school students in South Korea. Thinking Skills and Creativity, 26, 168-175. https://doi.org/10.1016/j.tsc.....
36.
Theodoulou, P., & Gagatsis, A. (2003). An image is worth a thousand words ... what kind of image does it help solve a mathematical problem? In Proceedings of the 2nd Conference on Mathematics in Secondary Education. Athens EKPA & University of Cyprus.
37.
Van Garderen, D. (2006). Spatial visualization, visual imagery, and mathematical problem solving of students with varying abilities. Journal of Learning Disabilities, 39(6), 496-506. https://doi.org/10.1177/002221....
38.
Zahner, D., & Corter, J. E. (2010). The process of probability problem solving: Use of external visual representations. Mathematical Thinking and Learning, 12(2), 177-204. https://doi.org/10.1080/109860....
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