MATHEMATICAL MODELING AND ITS ROLE IN EDUCATION
Article Sidebar
This work is licensed under a Creative Commons Attribution 4.0 International License.
Main Article Content
Abstract:
This article examines the pivotal role of mathematical modeling in educational settings, highlighting its significance in enhancing students' comprehension of mathematical concepts through real-world applications. It explores how mathematical modeling fosters problem-solving abilities, promotes interdisciplinary learning, and encourages the integration of technology in the classroom. The article also discusses the impact of mathematical modeling on improving communication skills, preparing students for future careers, and supporting personalized learning. By illustrating the various benefits of incorporating mathematical modeling into the curriculum, the article underscores its value in not only deepening students' mathematical understanding but also in equipping them with critical skills essential for success in various professional fields.
Article Details
How to Cite:
References:
Blum, W., & Leiß, D. (2007). How do students and teachers deal with mathematical modelling problems? The example of Germany. In C. Haines, P. Galbraith, W. Blum, & S. Khan (Eds.), Mathematical modelling (pp. 222–231). Chichester, UK: Horwood.
Kaiser, G., & Sriraman, B. (2006). A global survey of international perspectives on modelling in mathematics education. ZDM Mathematics Education, 38(3), 302-310.
Lesh, R., & Doerr, H. M. (2003). Beyond constructivism: Models and modeling perspectives on mathematics problem solving, learning, and teaching. Mahwah, NJ: Lawrence Erlbaum Associates.
Niss, M., Blum, W., & Galbraith, P. (2007). Modelling and applications in mathematics education: The 14th ICMI Study. New York: Springer.
Stillman, G., Galbraith, P., Brown, J., & Edwards, I. (2007). A framework for success in implementing mathematical modelling in the secondary classroom. In J. Watson & K. Beswick (Eds.), Mathematics: Essential research, essential practice (Vol. 2, pp. 688-697).
Y. M. Upadhyaya, “Mathematical analysis in static equilibrium of economics: as support to microeconomics course,” Interdisciplinary Journal of Management and Social Sciences, vol. 1, no. 1, pp. 135–148, 2021.
D. Kim, D. Jeong, and Y. Seo, “Intelligent design for simulation models of weapon systems using a mathematical structure and case-based reasoning,” Applied Sciences, vol. 10, no. 21, p. 7642, 2020.
J. Liu, M. Yang, E. Tian, J. Cao, and S. Fei, “Event-based security control for state-dependent uncertain systems under hybrid-attacks and its application to electronic circuits,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 66, no. 12, pp. 4817–4828, 2019.
F. Arena, G. Pau, and A. Severino, “An overview on the current status and future perspectives of smart cars,” Infrastructures, vol. 5, no. 7, p. 53, 2020.
H. Zhou, W. Xu, J. Chen, and W. Wang, “Evolutionary V2X technologies toward the internet of vehicles: challenges and opportunities” Proceedings of the IEEE, vol. 108, no. 2, pp. 308–323, 2020.
Turabdjanov Sadritdin, Toshov Javohir, Saitov Elyor, Axmedov Usmonjon, Research of electrophysical parameters of different types of solar panels taking into account degradation processes, AIP Conf. Proc. 2552, 030019 (2023), https://doi.org/10.1063/5.0117592
Yu.M.Kurbonov, E.B.Saitov and B.M.Botirov, Analysis of the influence of temperature on the operating mode of a photovoltaic solar station, IOP Conference Series: Earth and Environmental Science, Volume 614, 1st International Conference on Energetics, Civil and Agricultural Engineering 2020 14-16 October 2020, Tashkent, Uzbekistan, Sci. 614 012034, https://doi:10.1088/1755-1315/614/1/012034
Zikrillayev, N.F., Saitov, E.B., Ayupov, K.S., Yuldoshev, I.A. Determination of the resistance of external parameters to the degradation of the parameters of silicon photocells with input nickel atoms. Physical Sciences and Technology, 2022, 9(1), pp. 30–36, https://doi.org/10.26577/phst.2022.v9.i1.04
Saitov, E.B., Kodirov, Sh., Beknazarova, Z.F., Nortojiyev, A., Siddikov, N. Developing Renewable Sources of Energy in Uzbekistan Renewable Energy Short Overview: Programs and Prospects. AIP Conference Proceedings, 2022, 2432, 020015, https://doi.org/10.1063/5.0090438
Saitov E.B., Akhmedov U.M. Tracking maximum power point of photovoltaic modules, AIP Conference Proceedings, 2023, 2789, 060005, https://doi.org/10.1063/5.0145470
Zikrillayev N., Ayupov K.a Mamarajabova Z.b, Yuldoshev I.a, Saitov E.a, Sabitova I.a Adaptation and optimization of a photovoltaic system for a country house, E3S Web of Conferences, 2023, 383, 04054, https://doi.org/10.1051/e3sconf/202338304054
Saitov, E., Kudenov, I., Qodirova, F., Askarov, D., Sultonova, M. Analysis of the performance and economic parameters of different types of solar panels taking into account degradation processes. E3S Web of Conferences, 2023, 383, 04059 https://doi.org/10.1051/e3sconf/202338304059
Saitov, E., Khushakov, G., Masharipova, U., Mamasaliyev, O., Rasulova, S. Investigation of the working condition of large power solar panel cleaning device. E3S Web of Conferences, 2023, 383, 04060, https://doi.org/10.1051/e3sconf/202338304060
Zikrillayev, N., Saitov, E., Toshov, J., Muradov, B., Muxtorov, D. Autonomous Solar Power Plant for Individual use Simulation in LTspice Software Package Booster Voltage Converter. Proceedings of International Conference on Applied Innovation in IT, 2023, 11(1), pp. 207–211, https://doi:10.25673/101939
Yuldoshov, B., Saitov, E., Khaliyarov, J., Toshpulatov, S., Kholmurzayeva, F. Effect of Temperature on Electrical Parameters of Photovoltaic Module. Proceedings of International Conference on Applied Innovation in IT, 2023, 11(1), pp. 291–295, https://doi:10.25673/101957
Saitov, E., Jurayev, O., Axrorova, S., Ismailov, J., Baymirzaev, B. Conversion and use of Solar Energy Calculation Methodology for Photovoltaic Systems, Proceedings of International Conference on Applied Innovation in IT, 2023, 11(1), pp. 227–232, https://doi:10.25673/101942
Zikrillayev, N.F., Shoabdurahimova, M.M., Kamilov, T., Norkulov, N., Saitov, E.B. Obtaining manganese silicide films on a silicon substrate by the diffusion method. Physical Sciences and Technology, 2022, 9(2), pp. 89–93, https://doi.org/10.26577/phst.2022.v9.i2.011
Zikrillayev, N.F., Saitov, E.B., Ayupov, K.S., Yuldoshev, I.A. Determination of the resistance of external parameters to the degradation of the parameters of silicon photocells with input nickel atoms. Physical Sciences and Technology, 2022, 9(1), pp. 30–36, https://doi.org/10.26577/phst.2022.v9.i1.04
Saitov, E.B., Kodirov, Sh., Beknazarova, Z.F., Nortojiyev, A., Siddikov, N. Developing Renewable Sources of Energy in Uzbekistan Renewable Energy Short Overview: Programs and Prospects. AIP Conference Proceedings, 2022, 2432, 020015, https://doi.org/10.1063/5.0090438
E. B. Saitov; T. B. Sodiqov. Modeling an autonomous photovoltaic system in the MATLAB Simulink software environment, AIP Conf. Proc. 2432, 020022 (2022), https://doi.org/10.1063/5.0089914
E. B. Saitov, Sh. Kodirov, B. M. Kamanov, N. Imomkulov, I. Kudenov, Increasing the efficiency of autonomous solar photovoltaic installations for power supply of agricultural consumers, AIP Conf. Proc. 2432, 040036 (2022), https://doi.org/10.1063/5.0090439
F. Zikrillayev, E. B. Saitov, J. B. Toshov, B. K. Ilyasov, M. B. Zubaydullayev, A software package for determining the optimal composition and parameters of a combined autonomous power supply system based on renewable energy sources, AIP Conf. Proc. 2432, 020021 (2022), https://doi.org/10.1063/5.0090460
Zikrillayev Nurullo, Toshov Javohir, Saitov Elyor, Sodikov Temur, Development and selection of equipment for a peak autonomous photo power plant, AIP Conf. Proc. 2552, 030020 (2023) https://doi.org/10.1063/5.0117594
Turabdjanov Sadritdin, Toshov Javohir, Saitov Elyor, Axmedov Usmonjon, Research of electrophysical parameters of different types of solar panels taking into account degradation processes, AIP Conf. Proc. 2552, 030019 (2023), https://doi.org/10.1063/5.0117592
Yu.M.Kurbonov, E.B.Saitov and B.M.Botirov, Analysis of the influence of temperature on the operating mode of a photovoltaic solar station, IOP Conference Series: Earth and Environmental Science, Volume 614, 1st International Conference on Energetics, Civil and Agricultural Engineering 2020 14-16 October 2020, Tashkent, Uzbekistan, Citation 2020 IOP Conf. Ser.: Earth Environ. Sci. 614 012034, https://doi:10.1088/1755-1315/614/1/012034
E.B. Saitov, Optimal model for additional operation of the storage system for photovoltaic wind power plants, E3S Web of Conferences 220, 01080 (2020), https://doi.org/10.1051/e3sconf/202022001080
E.B.Saitov, Y.B.Sobirov, I.A.Yuldoshev, I.R. Jurayev and Sh.Kodirov, Study of Solar Radiation and Wind Characteristics in Various Regions of Uzbekistan, E3S Web of Conferences 220, 01061 (2020), https://doi.org/10.1051/e3sconf/202022001061
E.B.Saitov, J.B.Toshov, A.O.Pulatov, B.M.Botirov and Yu.M.Kurbanov, Networked interactive solar panels over the roof photovoltaic system (PVS) and its cost analysis at Tashkent state technical University, E3S Web of Conferences 216, 01133 (2020), https://doi.org/10.1051/e3sconf/202021601133
E.B. Saitov, Renewable energy development in Uzbekistan: current status, problems and solutions, E3S Web of Conferences 216, 01134 (2020), https://doi.org/10.1051/e3sconf/202021601134
Sanjar Shoguchkarov, Isroil Yuldoshev, Elyor Saitov and Alisher Boliev, The effect of the surface geometry of a photovoltaic battery on its efficiency, E3S Web of Conferences 216, 01149 (2020), https://doi.org/10.1051/e3sconf/202021601149
I.Sapaev, E.Saitov, N.Zoxidov and B.Kamanov, Matlab-model of a solar photovoltaic station integrated with a local electrical network, IOP Conference Series: Materials Science and Engineering, Volume 883, International Scientific Conference Construction Mechanics, Hydraulics and Water Resources Engineering (CONMECHYDRO – 2020) 23-25 April 2020, Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, Tashkent, Uzbekistan, https://doi:10.1088/1757-899X/883/1/012116
Javoxir Toshov and Elyor Saitov, Portable autonomous solar power plant for individual use, E3S Web of Conferences 139, 01087 (2019), https://doi.org/10.1051/e3sconf/201913901087
M. K. Bakhadyrkhanov, S. A. Valiev, N. F. Zikrillaev, S. V. Koveshnikov, E. B. Saitov & S. A. Tachilin, Silicon photovoltaic cells with clusters of nickel atoms, Direct Conversion of Solar Energy into Electric Energy, Published: 22 February 2017. Volume 52, pages 278–281, (2016), https://doi.org/10.3103/S0003701X1604006X