Archives
Current issue
About
About us
Aims and Scope
Abstracting and Indexing
Editorial Office
Open Access Policy
Publication Ethics
Journal History
Publisher
Follow us: Twitter
Contact
For Authors
Editorial Policy
Peer Review Policy
Manuscript Preparation Guidelines
Copyright & Licencing
Publication Fees
Fee Waiver Policy for Doctoral Students
EJMSTE Language Editing Service
More
Statistics
Special Issues
Special Issue Announcements
Published Special Issues
RESEARCH PAPER
Python-based simulations of the probabilistic behavior of random events for secondary school students
1
Department of Mathematics Statistics and Computers, Ubon Ratchathani University, Ubon Ratchathani, THAILAND
2
Department of Mathematics, Dongguk University, Seoul, SOUTH KOREA
3
School of General Science, Rajamangala University of Technology Rattanakosin, Prachaub Khiri Khan, THAILAND
4
Department of Mathematics, Mahasarakham University, Mahasarakham, THAILAND
Publication date: 2022-08-06
EURASIA J. Math., Sci Tech. Ed 2022;18(9):em2149
KEYWORDS
ABSTRACT
Simulation modeling is an effective tool for solving problems that cannot be explained analytically
or when data cannot be collected. This is done by simulating the observed behavior of a problem
under study using a computer program. In math education, this can develop knowledge and
fundamental competencies of simulation modeling at a higher level and foster its applications in
everyday life. This study created learning activities for secondary school students to simulate the
probabilistic behavior of random events using Python. 28 grade 12 students took part in these
activities using appropriate scaffolding strategies and a powerful mathematical tool, Python. After
completing the activities, student competency in simulating the probabilistic behavior of random
events with Python was evaluated using rubrics and the factors of student enjoyment, perceived
value, interest, and self-efficacy were determined through a Likert-scale questionnaire. The
assessment results showed that the activities had a positive effect on student competencies and
emotions. The outcomes of the study can serve guidelines for teachers who are interested in
expanding the results for further student development.
REFERENCES (46)
1.
Albright, B., & Fox, W.P. (2019). Mathematical modeling with Excel. Chapman and Hall/CRC. https://doi.org/10.1201/978042....
2.
Balakrishnan, G., Yen, Y. P., & Goh, E. L. E. (2010). Mathematical modelling in the Singapore secondary school mathematics curriculum. In Mathematical applications and modelling: Yearbook 2010 (pp. 247-257). Association of Mathematics Educators. https://doi.org/10.1142/978981....
3.
Blomhøj, M. (2020). Characterising modelling competency in students’ projects: Experiences from a natural science bachelor program. In G. Stillman, G. Kaiser, & C. Lampen (Eds.), Mathematical modelling education and sense-making. International perspectives on the teaching and learning of mathematical modelling. Springer. https://doi.org/10.1007/978-3-....
4.
Blum, W., & Leiß, D. (2006). How do students and teachers deal with modelling problems? In C. Haines, P. Galbraith, W. Blum, & S. Khan (Eds.), Mathematical modelling (ICTMA12): Education, engineering and economics (pp. 222-231). https://doi.org/10.1533/978085....
5.
Davadas, S. D., & Lay, Y. F. (2018). Factors affecting students’ attitude toward mathematics: A structural equation modeling approach. Eurasia Journal of Mathematics, Science and Technology Education, 14(1), 517-529. https://doi.org/10.12973/ejmst....
6.
English, L. D. (2012). Data modelling with first-grade students. Educational Studies in Mathematics, 81(1), 15-30. https://doi.org/10.1007/s10649....
7.
Farihah, U. (2019). Student modelling in solving the polynomial functions problems using GeoGebra approach. IOP Conference Series: Earth and Environmental Science, 243(1), 012104. https://doi.org/10.1008/1755-1....
8.
Ferri, R. B. (2017). Learning how to teach mathematical modeling in school and teacher education. Springer. https://doi.org/10.1007/978-3-....
10.
Frejd, P., & Ärlebäck, J. B. (2017). Initial results of an intervention using a mobile game app to simulate a pandemic outbreak. In G. Stillman, W. Blum, & G. Kaiser (Eds.), Mathematical modelling and applications. International perspectives on the teaching and learning of mathematical modelling. Springer. https://doi.org/10.1007/978-3-....
11.
Galbraith, P., Holton, D., & Turner, R. (2020). Rising to the challenge: Promoting mathematical modelling as real-world problem solving. In G. Stillman, G. Kaiser, & C. Lampen (Eds.), Mathematical modelling education and sense-making. International perspectives on the teaching and learning of mathematical modelling. Springer. https://doi.org/10.1007/978-3-....
12.
Geiger, V., Galbraith, P., Niss, M., & Delzoppo, C. (2022). Developing a task design and implementation framework for fostering mathematical modelling competencies. Educational Studies in Mathematics, 109(2), 313-336. https://doi.org/10.1007/s10649....
13.
Giordano, F. R., Fox, W. P., & Horton, S. B. (2013). A first course in mathematical modeling. Cengage Learning.
14.
Gordon, S. I., & Guilfoos, B. (2017). Introduction to modeling and simulation with MATLAB® and Python. Chapman and Hall/CRC. https://doi.org/10.1201/978131....
15.
Greefrath, G., & Siller, H. S. (2017). Modelling and simulation with the help of digital tools. In G. Stillman, W. Blum, & G. Kaiser (Eds.), Mathematical modelling and applications. International perspectives on the teaching and learning of mathematical modelling. Springer. https://doi.org/10.1007/978-3-....
16.
Greefrath, G., & Vorhölter, K. (2016). Teaching and learning mathematical modelling: Approaches and developments from German speaking countries. In Teaching and learning mathematical modelling. ICME-13 topical surveys. Springer. https://doi.org/10.1007/978-3-....
17.
Hartmann, L. M., Krawitz, J., & Schukajlow, S. (2021). Create your own problem! When given descriptions of real-world situations, do students pose and solve modelling problems? ZDM Mathematics Education, 53, 919-935. https://doi.org/10.1007/s11858....
18.
Hidayat, R., Adnan, M., & Abdullah, M. F. N. L. (2022). A systematic literature review of measurement of mathematical modeling in mathematics education context. Eurasia Journal of Mathematics, Science and Technology Education, 18(5), em2108. https://doi.org/10.29333/ejmst....
19.
Kaiser, G., Schwarz, B., & Buchholtz, N. (2011). Authentic modelling problems in mathematics education. In G. Kaiser, W. Blum, R. Borromeo Ferri, & G. Stillman (Eds.), Trends in teaching and learning of mathematical modelling. International perspectives on the teaching and learning of mathematical modelling. Springer. https://doi.org/10.1007/978-94....
20.
Kazak, S. (2010). Modeling random binomial rabbit hops. In R. Lesh, P. Galbraith, C. Haines, & A. Hurford (Eds.), Modeling students’ mathematical modeling competencies. Springer. https://doi.org/10.1007/978-1-....
21.
Kazak, S., Pratt, D., & Gokce, R. (2018). Sixth grade students’ emerging practices of data modelling. ZDM Mathematics Education, 50, 1151-1163. https://doi.org/10.1007/s11858....
22.
Kin, W., & Chan, V. (2011). Foundations of simulation modeling. In Wiley encyclopedia of operations research and management science. John Wiley & Sons. https://doi.org/10.1002/978047....
23.
Kotelawala, U. (2011). Stochastic case problems for the secondary classroom with reliability theory. In G. Kaiser, W. Blum, R. Borromeo Ferri, & G. Stillman (Eds.), Trends in teaching and learning of mathematical modelling. International perspectives on the teaching and learning of mathematical modelling. Springer. https://doi.org/10.1007/978-94....
24.
Krawitz, J., & Schukajlow, S. (2018). Do students value modelling problems, and are they confident they can solve such problems? Value and self-efficacy for modelling, word, and intra-mathematical problems. ZDM, 50(1), 143-157. https://doi.org/10.1007/s11858....
25.
Krutikhina, M. V., Vlasova, V. K., Galushkin, A. A., & Pavlushin, A. A. (2018). Teaching of mathematical modeling elements in the mathematics course of the secondary school. Eurasia Journal of Mathematics, Science and Technology Education, 14(4), 1305-1315. https://doi.org/10.29333/ejmst....
26.
Leung, I. K. C. (2013). Beyond the modelling process: An example to study the logistic model of customer lifetime value in business marketing. In G. Stillman, G. Kaiser, W. Blum, & J. Brown (Eds.), Teaching mathematical modelling: Connecting to research and practice. International perspectives on the teaching and learning of mathematical modelling. Springer. https://doi.org/10.1007/978-94....
27.
Lingefjärd, T. & Holmquist, M. (2005). To assess students’ attitudes, skills and competencies in mathematical modeling. Teaching Mathematics and Its Applications: International Journal of the IMA, 24(2-3), 123-133. https://doi.org/10.1093/teamat....
28.
Liu, J. (2020). Simulus: Easy breezy simulation in python. In 2020 Winter Simulation Conference (WSC) (pp. 2329-2340). IEEE. https://doi.org/10.1109/WSC485....
29.
Maria, A. (1997). Introduction to modeling and simulation. In Proceedings of the 29th Conference on Winter Simulation (pp. 7-13). https://doi.org/10.1145/268437....
30.
Ortega, M., & Puig, L. (2017). Using modelling and tablets in the classroom to learn quadratic functions. In G. Stillman, W. Blum, & G. Kaiser (Eds.), Mathematical modelling and applications. International perspectives on the teaching and learning of mathematical modelling. Springer. https://doi.org/10.1007/978-3-....
31.
Patel, A., & Pfannkuch, M. (2018). Developing a statistical modeling framework to characterize year 7 students’ reasoning. ZDM Mathematics Education, 50, 1197-1212. https://doi.org/10.1007/s11858....
32.
Rodríguez Gallegos, R. & Quiroz Rivera, S. (2015). Developing modelling competencies through the use of technology. In G. Stillman, W. Blum, & M. Salett Biembengut (Eds.), Mathematical modelling in education research and practice. International perspectives on the teaching and learning of mathematical modelling. Springer. https://doi.org/10.1007/978-3-....
33.
Rodríguez Gallegos, R. (2015). A differential equations course for engineers through modelling and technology. In G. Stillman, W. Blum, & M. Salett Biembengut (Eds.), Mathematical modelling in education research and practice. International perspectives on the teaching and learning of mathematical modelling. Springer. https://doi.org/10.1007/978-3-....
34.
Schukajlow, S., Kolter, J., & Blum, W. (2015a). Scaffolding mathematical modelling with a solution plan. ZDM, 47(7), 1241-1254. https://doi.org/10.1007/s11858....
35.
Schukajlow, S., Krug, A., & Rakoczy, K. (2015b). Effects of prompting multiple solutions for modelling problems on students’ performance. Educational Studies in Mathematics, 89, 393-417. https://doi.org/10.1007/s10649....
36.
Schukajlow, S., Leiss, D., Pekrun, R., Blum, W., Müller, M., & Messner, R. (2012). Teaching methods for modelling problems and students’ task-specific enjoyment, value, interest and self-efficacy expectations. Educational Studies in Mathematics, 79(2), 215-237. https://doi.org/10.1007/s10649....
37.
Shahbari, J.A., & Peled, I. (2017). Modelling in primary school: Constructing conceptual models and making sense of fractions. International Journal of Science and Mathematics Education, 15, 371-391. https://doi.org/10.1007/s10763....
38.
Stender, P., & Kaiser, G. (2015). Scaffolding in complex modelling situations. ZDM, 47(7), 1255-1267. https://doi.org/10.1007/s11858....
39.
Stillman, G. (2010). Implementing applications and modelling in secondary school: Issues for teaching and learning. In Mathematical applications and modelling: Yearbook 2010 (pp. 300-322). Association of Mathematics Educators. https://doi.org/10.1142/978981....
40.
Tendeloo, Y. V., Vangheluwe, H., & Franceschini, R. (2019). An introduction to modeling and simulation with (Python (P)) DEVS. In 2019 Winter Simulation Conference (WSC) (pp. 1415-1429). IEEE. https://doi.org/10.1109/WSC400....
41.
Tobrawa, S., Münch, G. V., Denkena, B., & Dittrich, M. A. (2022). Design of simulation models. In J. Stjepandić, M. Sommer, & B. Denkena (Eds.), DigiTwin: An approach for production process optimization in a built environment. Springer. https://doi.org/10.1007/978-3-....
42.
Tropper, N., Leiss, D., & Hänze, M. (2015). Teachers’ temporary support and worked-out examples as elements of scaffolding in mathematical modeling. ZDM, 47(7), 1225-1240. https://doi.org/10.1007/s11858....
43.
Volosencu, C., & Ryoo, C. S., (Eds.). (2022). Simulation Modeling. IntechOpen. https://doi.org/10.5772/intech....
44.
Wake, G. (2015). Preparing for workplace numeracy: a modelling perspective. ZDM Mathematics Education, 47, 675-689. https://doi.org/10.1007/s11858....
45.
Yanagimoto, A., & Yoshimura, N. (2013). Mathematical modelling of a real-world problem: The decreasing number of bluefin tuna. In G. Stillman, G. Kaiser, W. Blum, & J. Brown (Eds.), Teaching mathematical modelling: Connecting to research and practice. International perspectives on the teaching and learning of mathematical modelling. Springer. https://doi.org/10.1007/978-94....
46.
Zárate Ceballos, H., Parra Amaris, J. E., Jiménez Jiménez, H., Romero Rincón, D. A., Agudelo Rojas, O., & Ortiz Triviño, J. E. (2021). Introduction to simulation. In Wireless network simulation. Apress. https://doi.org/10.1007/978-1-....
Share
RELATED ARTICLE
| eISSN: | 1305-8223 |
| ISSN: | 1305-8215 |
We process personal data collected when visiting the website. The function of obtaining information about users and their behavior is carried out by voluntarily entered information in forms and saving cookies in end devices. Data, including cookies, are used to provide services, improve the user experience and to analyze the traffic in accordance with the Privacy policy. Data are also collected and processed by Google Analytics tool (more).
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
