Improving student learning efficiency using an online simulator for solving unconditional optimization problems
https://doi.org/10.32517/0234-0453-2023-38-5-65-77
Abstract
The article describes the process of developing an online simulator for solving uconditional optimization problems using the Python programming language and the Flask framework. The functional requirements for the simulator as an information system are considered. In the course of the research models describing the system were created and algorithms of its operation were built. The simulator reproduces the process of step-by-step training of two methods for finding the extremum of a function of two variables — the method of finding a stationary point and the Newton’s method. The article considers the process of developing and testing an online simulator.
Testing of the online simulator was carried out on the basis of Murom Institute (branch) of the Vladimir State University within the discipline “Decision Theory”. The test confirmed that the simulator allows to consolidate the studied material, to acquire skills in solving problems on finding the extremum of a function of two variables, to track errors in the course of solving and to see the results of checking the solution of problems. The simulator generates equations by templates, which leads to a high variability of tasks for students. At the same time, the program can automatically step by step check the solution of the problem by the student, which leads to a decrease in the routine workload on the teacher in terms of checking solutions.
About the Authors
E. S. RomanovaRussian Federation
Ekaterina S. Romanova, Informatics Teacher; a master student of the educational program “Applied Mathematics and Informatics”, profile “Data Intellectual Analysis”, the Department of Physics and Applied Mathematics, Faculty of Information Technologies and Radioelectronics
Bolshoe Okulovo, Navashinsky Urban District, Nizhny Novgorod Region
Murom, Vladimir Region
M. N. Ryzhkova
Russian Federation
Marya N. Ryzhkova, Candidate of Sciences (Engineering),
Docent, Associate Professor at the Department of Physics and Applied Mathematics, Faculty of Information Technologies and Radioelectronics
Murom, Vladimir Region
References
1. Rannikh V. N. Electronic workshop as a didactic means of improving training in high school. Bulletin of Tula State University. Humanities. 2013;(3-2):280–285. (In Russian.) EDN: RVMCOX.
2. RannikhV. N. The role of virtual laboratory workshops in improving cognitive and motivational training in high school indicators. Bulletin of Tula State University. Humanities. 2014:(4-2):205–210. (In Russian.) EDN: TVWVJR.
3. Zakirova E. I. Using virtual laboratory workshops in the educational process of a technical university. Discussion. 2015;(7(59)):122–126. (In Russian.) EDN: UIXYYF.
4. Portnov Yu. A., Malshakova I. L. Organizing laboratory classes in the context of distance learning. Problems of Modern Education. 2021;(3):218–226. (In Russian.) EDN: OMFWYQ. DOI: 10.31862/2218-8711-2021-3-218-226.
5. Bodryakov V. Yu., Bykov A. A. Digital mathematical laboratory works as a modern tool for forming the studentresearcher. Pedagogical Education in Russia. 2022;(3):148– 159. (In Russian.) EDN: WJLXUU.
6. Yulukova S. Z. Applications of virtual mathematical laboratory at geometry lessons. Information and Education: Boundaries of Communications. Proc. of X Int. Scientific and Practical Conf. INFO’18. Gorno-Altaisk, Gorno-Altaisk State University; 2018;(10(18)):188–190. (In Russian.) EDN: XVXZKX.
7. Shabanova M. V., Ovchinnikova R. P., Yastrebov A. V. et al. Experimental mathematics at school. Research training: A collective monograph. Moscow, Publishing House “Akademija Estestvoznanija”; 2016. 300 p. (In Russian.) EDN: WASRVL. DOI: 10.17513/np.141.
8. Savkina T. A., Vada O. V., Zaltsman E. G., Shtangovets E. S. Virtual laboratory practice. Reshetnev Readings. Proc. XIV Int. Scientific and Practical Conf., Dedicated to the Memory of the General Designer of Rocket and Space Systems AcademicianM.F.Reshetnev. Krasnoyarsk; 2013;2:506–507. (In Russian.) EDN: SJCPBJ.
9. Sidorova E. N. Virtual laboratory as a method of teaching mathematics. Innovative Development of Vocational Education. 2019;(3(23)):43–48. (In Russian.) EDN: RDJPDG.
10. Fomicheva E. E. Laboratory classes in the context of distance learning. Modern Education: Content, Technologies, Quality. Proc. XXVII Int. Scientific and Methodological Conf. Saint Petersburg, Saint Petersburg Electrotechnical University (“LETI”); 2021;1:207–208. (In Russian.) EDN: PCUGCA.
11. Fomicheva E. E. Virtual laboratory classes in distance learning physics. Mir Nauki, Kul’tury, Obrazovaniya. 2022;(1(92)):64–69. (In Russian.) EDN: QIPDHH. DOI: 10.24412/1991-5497-2022-192-64-69.
12. Pets A. V. Digital laboratories as the cognitive method of training. Bulletin of the Immanuel Kant Russian Federal University. Pedagogical and Psychological Sciences. 2008;(11):81–84. (In Russian.) EDN: JWPAGR.
13. Nikulina T. V., Starichenko Ye. B. Virtual educational laboratories principles and opportunities. Pedagogical Education in Russia. 2016;(7):62–66. (In Russian.) EDN: UEQOXE. DOI: 10.26170/po16-07-09.
14. Ryzhkova M. N., Titarenko D. U. The use of virtual laboratory works in mastering the physics course when training radio engineering students. Radio Engineering and Telecommunication Systems. 2022;(3(47)):76–83. (In Russian.) EDN: AKLIXB. DOI: 10.24412/2221-2574-2022-3-76-83.
15. PoptsovA.V. Experience in the development and application of information technologies in the laboratory practice of special physical and mathematical disciplines. Information Technologies in the Provision of Federal State Educational Standards. Proc. of Int. Scientific and Practical Conf. Yelets, Bunin Yelets State University; 2014;1:66–73. (In Russian.) EDN: SNEMVB.
16. Chirkova L. N., Chirkova V. V., ChirkovaM. V. Virtual information and educational laboratory as a means of educating a creative personality. Training and Education: Methods and Practice. 2015;(21):39–44. (In Russian.) EDN: UBGAAR.
17. MikhailovaI. G. Using MS Excel in teaching optimization problem solving. Problems and Prospects for the Development of Education in Russia. 2013;(18):108–111. (In Russian.) EDN: RINJFR.
18. Bolotsky A. V., Beldyagina E. Yu., Gubanova O. M. The use of modern information technologies for solving optimization problems in the preparation of future specialists. Vestnik of Penza State University. 2019;(2(26)):3–9. (In Russian.) EDN: UOGRBW.
19. Efimchik E. A. Virtual laboratory for testing the skills of performing operations on sets. Problems and Prospects for the Development of Education in Russia. 2013;(18):102–108. (In Russian.) EDN: RINJFH.
20. Averina E. S. Development of a functional model of an online simulator for solving problems of unconditional optimization. The Scientific Potential of Youth— the Future of Russia. XIV All-Russian Scientific Zworykin Readings:Collection of Abstracts of Reports of the All-Russian Interuniversity Sci. Conf. Murom, Murom branch of Vladimir State University; 2022:526–528. (In Russian.) Available at: https://www.mivlgu.ru/conf/molodezh2022/pdf/sec14/sec14_pap8.pdf
Review
For citations:
Romanova E.S., Ryzhkova M.N. Improving student learning efficiency using an online simulator for solving unconditional optimization problems. Informatics and education. 2023;38(5):65-77. (In Russ.) https://doi.org/10.32517/0234-0453-2023-38-5-65-77