Research Article

Proposal for Teaching Mathematical Modelling Using COVID-19 as an Example of an Infectious Disease Epidemic: The Case of Japan in the Corona Vortex

Yuki Sawada 1 *
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1 Faculty of Advanced Science and Technology, Ryukoku University, Otsu, Shiga, JAPAN* Corresponding Author
Contemporary Mathematics and Science Education, 3(2), 2022, ep22017, https://doi.org/10.30935/conmaths/12363
Published: 15 August 2022
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ABSTRACT

Someone with a mathematical background can understand that if a virus such as COVID-19 enters a country, it will increase exponentially and cause a pandemic. Are students watching daily news reports with this level of sensibility? It is not difficult for students already familiar with differential and integral calculus to use the susceptible-infected-recovered or removed model to predict the number of new infections and determine the effect of self-restraint. Current education practices emphasize the memorization of concepts. When confronted with unknown difficulties such as COVID-19, it is important to develop teaching materials that, rather than frightening and emotionally discouraging students, enable them to utilize their previous knowledge, confront the difficulties, and explore the significance of mathematics education. This study provides example mathematical modelling material. Students learned mathematical modelling using the example of the number of new infections in Japan’s first wave of COVID-19. A survey was conducted before and after instruction which revealed that students in Japan are not being taught how to build mathematical models, and teaching using mathematical models can be used successfully to help students learn construction of mathematical disease models and also about exponential change.

CITATION (APA)

Sawada, Y. (2022). Proposal for Teaching Mathematical Modelling Using COVID-19 as an Example of an Infectious Disease Epidemic: The Case of Japan in the Corona Vortex. Contemporary Mathematics and Science Education, 3(2), ep22017. https://doi.org/10.30935/conmaths/12363

REFERENCES

  1. Anderson, R. M., Heesterbeek, H., Klinkenberg, D., & Hollingsworth, T. D. (2020). How will country-based mitigation measures influence the course of the COVID-19 epidemic? Lancet, 395(10228), 931-934. https://doi.org/10.1016/S0140-6736(20)30567-5
  2. Aoki, Y. (n. d.). Development of teaching materials for connecting calculus and physics, a collection of papers on education and teaching profession. https://www.sist.ac.jp/pdf/suugakukakyoikuhou1.pdf
  3. Arseven, A. (2015). Mathematical modelling approach in mathematics education. Universal Journal of Educational Research, 3(12), 973-980. https://doi.org/10.13189/ujer.2015.031204
  4. Blum, W. (2015). Quality teaching of mathematical modelling: What do we know, what can we do? In Proceedings of the 12th International Congress on Mathematical Education, Springer (pp. 73-96). https://doi.org/10.1007/978-3-319-12688-3_9
  5. Bora, A., & Ahmed, S. (2019). Mathematical modeling: An important tool for mathematics teaching. International Journal of Research and Analytical Reviews, 6(2), 252-256. https://ssrn.com/abstract=3388769
  6. Burghes, D. N., & Borrie, M. S. (1981). Modelling with differential equations. Prentice Hall Europe.
  7. Engelbrecht, J., Borba, M. C., Llinares, S. L., & Kaiser, G. (2020). Will 2020 be remembered as the year in which education was changed? ZDM, 52(5), 821-824. https://doi.org/10.1007/s11858-020-01185-3
  8. English, L. D. (2017). Advancing elementary and middle school STEM education. International Journal of Science and Mathematics Education, 15(S1), 5-24. https://doi.org/10.1007/s10763-017-9802-x
  9. English, L. D., Hudson, P., & Dawes, L. (2013). Engineering-based problem solving in the middle school: Design and construction with simple machines. Journal of Pre-College Engineering Education Research, 3(2), 43-55. https://doi.org/10.7771/2157-9288.1081
  10. Hallström, J., & Schönborn, K. J. (2019), Models and modelling for authentic STEM education: Reinforcing the argument. International Journal of STEM Education, 6, 6-22. https://doi.org/10.1186/s40594-019-0178-z
  11. Handel, A. (2017). Learning infectious disease epidemiology in a modern framework. PLoS Computational Biology, 13(10), e1005642. https://doi.org/10.1371/journal.pcbi.1005642
  12. Hankeln, C. (2020). Mathematical modeling in Germany and France: A comparison of students’ modeling processes. Educational Studies in Mathematics, 103(2), 209-229. https://doi.org/10.1007/s10649-019-09931-5
  13. Inaba, H. (2020). Mathematical model of infectious diseases. Baifukan, Tokyo, 50-265.
  14. Kawakami, T., Saeki, A., & Kaneko, M. (2019). A professional development program that intends to retransform a mathematics-textbook problem into mathematical modeling problems. Japan Journal of Mathematics Education and Related Fields, 60(3-4), 35-48. https://doi.org/10.34323/mesj.60.3-4_35
  15. Kertil, M., & Gurel, C. (2016). Mathematical modeling: A bridge to STEM education. International Journal of Education in Mathematics. International Journal of Education in Mathematics, Science and Technology, 4(1), 44-55. https://files.eric.ed.gov/fulltext/EJ1086722.pdf
  16. Kota, O. (1981). Recommendations for mathematics education, Japan. Journal of Mathematics Education and Related Fields, 22, 1-2. https://doi.org/10.34323/mesj.22.3-4_1
  17. Kuniya, T. (2020a). Evaluation of the effect of the state of emergency for the first wave of COVID-19 in Japan. Infectious Disease Modelling, 5, 580-587. https://doi.org/10.1016/j.idm.2020.08.004
  18. Kuniya, T. (2020b). Prediction of the epidemic peak of coronavirus disease in Japan, 2020. Journal of Clinical Medicine, 9(3), 789. https://doi.org/10.3390/jcm9030789
  19. Kurita, J. (2020). Pandemic simulation of the first wave of new coronavirus infection: Looking back from the mathematical model. Gijutsu Hyohronsya, Japan.
  20. Lingefjärd, T. (2007). Mathematical modeling in teacher education—Necessity or unnecessarily. Modelling and Applications in Mathematics Education, 333-340. https://doi.org/10.1007/978-0-387-29822-1_35
  21. Lyon, J. A., & Magana, A. J. (2020). A review of mathematical modeling in engineering education. International Journal of Engineering Education, 36(1), 101-116. https://www.ijee.ie/1atestissues/Vol36-1A/09_ijee3860.pdf
  22. Mikami, G. (2020), One week after the declaration, the target of an 80% reduction in contacts has not been reached, causing a sense of crisis for the government. Asahi Shimbun Digital. https://www.asahi.com/articles/ASN4G6GG5N4GULFA014.html
  23. Ministry of Education, Culture, Sports, Science and Technology, Bureau of Elementary and Secondary Education, Educational Support and Teaching Materials Division. (2022). The state of maintenance of computers for learners in senior high schools (estimated for 2022). https://www.mext.go.jp/a_menu/shotou/zyouhou/detail/mext_01773.html
  24. Muhammed, F. D., Ramazan, G., Zeynep, C., & Seda, S. (2019). Using mathematical modeling for integrating STEM disciplines: A theoretical framework. Turkish Journal of Computer and Mathematics Education, 10(3), 628-653. https://doi.org/10.16949/turkbilmat.502007
  25. NHK News. (2020). Special website new coronavirus: Number of infected people in Japan (NHK summary). NHK News. https://www3.nhk.or.jp/news/special/coronavirus/data-all/
  26. Nishiura, H. (2020). Challenge of theoretical epidemiologist Hiroshi Nishiura: Protect your life from the new corona! Chuokoron-Shinsha, Japan.
  27. Sun, T., & Weng, D. (2020). Estimating the effects of asymptomatic and imported patients on COVID-19 epidemic using mathematical modeling. Journal of Medical Virology, 92(10), 1995-2003. https://doi.org/10.1002/jmv.25939
  28. Tang, S., Mao, Y., Jones, R. M., Tan, Q., Ji, J. S., Li, N., Shen, J., Lv, Y., Pan, L., Ding, P., Wang, X., Wang, Y., MacIntyre, C. R., & Shi, X. (2020). Aerosol transmission of SARS-CoV-2? Evidence, prevention and control. Environment International, 144, 106039. https://doi.org/10.1016/j.envint.2020.106039
  29. The University of Tokyo Health Service Center. (2020). About new coronavirus infection. http://www.hc.u-tokyo.ac.jp/covid-19/symptomprogressprognosis/
  30. Watanabe, S. (2018). Deduction and induction. JSSE Research Report, 32(7), 75-80. https://doi.org/10.14935/jsser.32.7_75
  31. WHO. (2020). Coronavirus disease (COVID-2019) situation reports, the weekly epidemiological update. World Health Organization. https://www.who.int/emergencies/diseases/novel-coronavirus-2019/situation-reports
  32. Yanagimoto, A. (2008). Mathematical modeling and mathematical activity. Japan Journal of Mathematics Education and Related Fields, 49(3-4), 9-16. https://doi.org/10.34323/mesj.49.3-4_9
  33. Yoshimura, N., & Akita, M. (2021). Materials development in mathematical modeling: A study of transitions between the real world model and the real situation. Japan Journal of Mathematics Education and Related Fields, 62(1-2), 49-60.