Online simulator for practicing the skills of performing mathematical operations
https://doi.org/10.32517/0234-0453-2023-38-4-68-79
Abstract
The article describes a tool to solve the problem of insufficient development of schoolchildren’s arithmetic operations skills. The authors believe that the use of computer technologies in the process of teaching mathematics will allow the building of individual learning trajectories for each student and ensure the development of arithmetic operations skills to a stable state. The authors introduce a new concept of “skill architecture” and demonstrate the possibilities of building the skill architecture of a school mathematics course: structuring skills into groups and creating a new approach to practicing mathematical skills from simple to complex, starting from elementary school. The article presents the rationale for the development, concept, and requirements for an online simulator for practicing the skills of performing mathematical operations. The concept of the simulator is based on the results of research: analysis of the subject area of the school mathematics course; identification of the architecture of skills that allows building individual learning trajectories; development of a methodology for evaluating the effectiveness of tasks for practicing a particular skill by analyzing learning curves. The online application “Mathematical Operations Simulator” has been developed. The concept of the proposed online mathematics simulator can be used as a basis for developing similar solutions for any subject area of the school curriculum. The simulator can also be used in distance learning conditions.
About the Authors
D. B. BergRussian Federation
Doctor of Sciences (Physics and Mathematics), Professor, Professor at the Basic Department “Big Data Analytics and Video Analysis Methods”, Engineering School of Information Technologies, Telecommunications and Control Systems (IRIT-RTF)
N. V. Papulovskaya
Russian Federation
Candidate of Sciences (Education), Associate Professor at the Department of Information Techno logies and Control Systems, Engineering School of Information Technologies, Telecommunications and Control Systems (IRIT-RTF)
A. Yu. Vishnyakova
Russian Federation
Senior Lecturer at the Department of Systems Analysis and Decision-Making, School of Economics and Management, Graduate School of Economics and Management
N. N. Dubinin
Russian Federation
Head of Educational Programs
References
1. Gladwell M. Outliers: The Story of Success. New York, Little, Brown and Company; 2008. 321 p.
2. Lebedev S. A. Mathematics and technical sciences as a basic unity of the scientific knowledge system. Journal of Natural Sciences Research. 2018;3(3):22–48. (In Russian.) EDN: VMVISO
3. Chigintseva A. A., Konyaeva E. A. The current problems in distance learning. Skiff. Questions of Student Science. 2018;(3(19)):10–21. (In Russian.) EDN: UQGIAO
4. Barysheva I. V., Malkina E. V., Kozlov O. A. The influence of self-isolation on the level of programming knowledge of school graduates. Innovative Approaches in Computer Science within Higher Education — InnoCSE-2021. Proc. III Int. Scientific and Practical Conf. Ed. by N. V. Papulovskaya. Ekaterinburg, UrFU; 2022:5–9. (In Russian.) EDN: DSSPLV
5. Shangina E. I., Shaikhutdinova K. R. A model for adapting university students to distance learning during the pandemic. Innovative Approaches in Computer Science within Higher Education — InnoCSE-2021. Proc. III Int. Scientific and Practical Conf. Ed. by N. V. Papulovskaya. Ekaterinburg, UrFU; 2022:10–13. (In Russian.) EDN: IVCIEX
6. Dzhamalidinova M. E. Interpretation of the results of the All-Russian Verification Work in Mathematics as a means of determining tasks for improving preparation methods. Pedagogical Science and Education in Dialogue with Time. Proc. VI Int. Scientific and Practical Conf. Dedicated to the Memory of V. A. Pyatin. Astrakhan, Astrakhan State University; 2021:222–224. (In Russian.) EDN: YOROKV
7. Maikova N. S. Types of student errors when learning geometrical problems, causes of errors and ways of prevention thereof. Izvestia: Herzen University Journal of Humanities & Science. 2008;(73-2):113–118. (In Russian.) EDN: MVQFPP
8. Dalinger V. A. Typical mistakes of students in mathematics and their causes. Modern High Technologies. 2014;(121):94–97. (In Russian.) EDN: TBWIDB
9. Mugallimova S. R. About typical mistakes of students in mathematics. Actual Problems of Mathematical Education. Proc. of the Interuniversity Conf. Surgut, Chetyre Tsveta; 2015:28–33. (In Russian.) EDN: IVLLVC. Available at: https://stud.surgpu.ru/media/medialibrary/2015/03/Статья_Мугаллимова.pdf
10. Uvarov A. Yu. Two crises of education, educational architecture and the Internet. Pedagogical University Bulletin of Altai. 2002;(2):260–266. (In Russian.) EDN: SBIIQD
11. Vodyaho A. I., Puzankov D. V., Gritskaya T. S., Somov S. V. Architectural approach to educational resources creation and support. Proceedings of Saint Petersburg Electrotechnical University Journal. 2014;(3):23–28. (In Russian.) EDN: RZOOEF
12. Drobotenko Y. B. Architectural ideas development within the framework of pedagogical science in the information society context. Scientific Problems of Humanitarian Research. 2011;(10):128–137. (In Russian.) EDN: LXSPYD
13. Malenkova L. O. The theoretical substantiation of school architecture of the educational process in the modern information society. Izvestia: Herzen University Journal of Humanities & Science. 2012;(145):142–150. (In Russian.) EDN: OZPUSH
14. Vishnyakova A. Yu., Dubinin N. N., Berg D. B. Development of the school education architecture concept. Russian Regions in the Focus of Change. Proc. XV Int. Conf. Ekaterinburg, Publishing House UMC UPI, LLC; 2021;1:162–165. (In Russian.) EDN: BVIDVI
15. Dubinin N. N., Nazarova Yu. Yu. Technology of tasks solving by method of tabular analysis. Modern Problems of Science and Education. 2018;(4):127. (In Russian.) EDN: YMGZPF. DOI: 10.17513/spno.27974
Review
For citations:
Berg D.B., Papulovskaya N.V., Vishnyakova A.Yu., Dubinin N.N. Online simulator for practicing the skills of performing mathematical operations. Informatics and education. 2023;38(4):68-79. (In Russ.) https://doi.org/10.32517/0234-0453-2023-38-4-68-79