RADIOELECTRONIC AND COMPUTER SYSTEMS

The approach to the formalization of the generation of problem situations applicable to the development of tutoring programs consisting of many tasks is considered. The main errors arising during the software-based generation of parameters are specified. Mathematical modeling of parametrical generation algorithms examined by examples of tasks that make up complex tests on mathematics for secondary schools. The parametric generation method proposed in the article allows getting the large quantitative variations in task problem situations. Thereby, every learner will get a personal unique set of tasks. The structure and functionality of web-tests complex consisting of tasks generated via the proposed method are described. The subject of research in the article is the process of computer training in mathematics. The goal is to develop a method for task generation for mathematical disciplines. Tasks. Research and analysis of the set of mathematical problems. Parameterization of each task and development method and algorithms for automated generation parameters with the determination of incorrect combinations of parameters or problem situations that have no solution. Estimation of borders of admissible for approximate answers. Evaluation of the user solution of a single task and a sequence of tasks. The general objective of the work is to make the software product consisting of a sequence of mathematics tasks. The software should have an extended user interface for the graphical presentation of various problem situations in various mathematical topics. The program must be accessible via the Internet. The following results were obtained: developed methods and algorithms of task generation, which provide correct problem situations and unique parameter sets for each user; described the program complex structure and developed the software system of mathematical web-tests provides two levels of difficulty. Conclusion. The scientific novelty lies in the development of the method of task generation for interactive web tests on the mathematics and its computer implementation with the possibility of graphical representation of tasks and checking of tasks correctness.

computer tutoring programs; tasks generation algorithms; mathematical modelling

Han, J., Zhao, W., Jiang, Q., Oubibi, M. and Hu, X. Intelligent Tutoring System Trends 2006-2018: A Literature Review. 2019 Eighth International Conference on Educational Innovation through Technology (EITT), 2019, pp. 153-159, DOI: 10.1109/EITT.2019.00037.

Hooshyar, D., Pedaste, M., Saks, K., Leijen, Ä., Bardone, E., Wang, M. Open learner models in supporting self-regulated learning in higher education: A systematic literature review. Computers & Education, 2020, vol. 154, pp. 103-108, Article Id: 103878. DOI: 10.1016/j.compedu.2020.103878.

Melis, E., Siekmann, J. ActiveMath: An Intelligent Tutoring System for Mathematics. International Conference on Artificial Intelligence and Soft Computing - ICAISC 2004. Lecture Notes in Computer Science, Springer, Berlin, Heidelberg, 2004, vol. 3070, pp. 91-101. DOI: 10.1007/978-3-540-24844-6_12.

VanLehn, K., Milner, F., Banerjee, C., Wetzel, J. Teaching Underachieving Algebra Students to Construct Models Using a Simple Intelligent Tutoring System. International Conference on Artificial Intelligence in Education. AIED 2021. Lecture Notes in Computer Science, Springer, Cham, 2021, vol. 12749, pp. 367-371. DOI: 10.1007/978-3-030-78270-2_65.

Hooshyar, D., Ahmad, R. B., Yousefi, M., Yusop, F. D. and Horng, S. J. A flowchart‐based intelligent tutoring system for improving problem‐solving skills of novice programmers. Journal of Computer Assisted Learning, 2015, vol. 31, iss. 4, pp. 345-361. DOI: 10.1111/jcal.12099.

Hooshyar, D, Ahmad, R. B., Yousefi, M, Fathi, M, Abdollahi, A., Horng, S. J., Lim, H. A solution-based intelligent tutoring system integrated with an online game-based formative assessment: development and evaluation. Educational Technology Research and Development, 2016, vol. 64, no. 4, pp. 787-808. Eric Id: EJ1108006.

Wang, Y., Nguyen, H., Harpstead, E., Stamper, J., McLaren, B. M. How Does Order of Gameplay Impact Learning and Enjoyment in a Digital Learning Game? International Conference on Artificial Intelligence in Education. AIED 2019. Lecture Notes in Computer Science, Springer, Cham, 2019, vol. 11625, pp. 518-531. DOI: 10.1007/978-3-030-23204-7_43.

Sanz, María T., Arnau, David., González-Calero, José A., Arevalillo-Herráez, Miguel. Using System Dynamics to Model Student Performance in an Intelligent Tutoring System. Proceedings of the 25th Conference on User Modeling, Adaptation and Personalization (UMAP '17). Association for Computing Machinery, New York, NY, USA, 2017, pp. 385-386. DOI: 10.1145/3079628.3079635.

Corbeil, J. P., Gagnon, M., & Richard, P. R. Probabilistic Approaches to Detect Blocking States in Intelligent Tutoring System. International Conference on Intelligent Tutoring Systems, Springer, Cham, 2020, vol. 12149, pp. 79-88. DOI: 10.1007/978-3-030-49663-0_11.

Chukhray, A., Havrylenko, O. Proximate objects probabilistic searching method. Integrated Computer Technologies in Mechanical Engineering. Advances in Intelligent Systems and Computing. Springer, Cham, 2020, vol. 1113, pp. 219-227. DOI: 10.1007/978-3-030-37618-5_20.

San Pedro, M. O. Z., Baker, R. S. J. d., Rodrigo, M. M. T. Carelessness and Affect in an Intelligent Tutoring System for Mathematics. International Journal of Artificial Intelligence in Education, 2014, vol. 24, iss. 2, pp. 189-210. DOI: 10.1007/s40593-014-0015-y.

Feng, M., Heffernan, N. T., Koedinger, K. R. Predicting State Test Scores Better with Intelligent Tutoring Systems: Developing Metrics to Measure Assistance Required. Intelligent Tutoring Systems. ITS 2006. Lecture Notes in Computer Science, Springer, Berlin, Heidelberg, 2006, vol. 4053, pp. 31-40. DOI: 10.1007/11774303_4.

Chukhray, A. Metodologiya obucheniya algoritmam : monografiya [Methodology for learning algorithms, monograph]. Kharkiv, National Aerospace University “KhAI” Publ., 2017. 336 p.

Gaydachuk, D., Havrylenko, O., Martínez Bastida, J. P., Chukhray, A. Structural diagnosis method for computer programs developed by trainees. Proceedings of 15 th International Conference on ICT in Education, Research, and Industrial Applications, Kherson, Ukraine, 2019, pp. 485-490.

Chukhray, A., Havrylenko, O. The method of student's query analysis while intelligent computer tutoring in SQL. Radioelektronni i komp'uterni sistemi – Radioelectronic and computer systems, 2021, no. 2, pp. 78-86. DOI: 10.32620/reks.2021.2.07.

Chukhray, A., Havrylenko, O. The engineering skills training process modeling using dynamic bayesian nets. Radioelektronni i komp'uterni sistemi – Radioelectronic and computer systems, 2021, no. 2, pp. 87-96. DOI: 10.32620/reks.2021.2.08.