New Opportunities of Computer Assessment of Knowledge Based on Fractal Modeling

Abstract

Foreign Affairs of the Russian Federation, RussiaIn this article, the urgent problem of control systems modeling of professional competences and knowledge assessment of students is discussed. Pedagogical expediency in management of students' cognitive activity by using of new informational technologies instruments in monitoring and assessment of knowledge is proved. The possibility of fractal methods application in perfecting of the system of computer monitoring of students' knowledge of as a part of the adaptive training systems is considered and realized. The design of the technology of computer monitoring of students' knowledge on the basis of fractal methods includes the following stages: development of cross-disciplinary fractal and organized base of key concepts; the creation of the expansible bank of educational and cognitive research tasks, which is coordinated with fractal structure of the conceptual framework; the development of the program module, which is focused on individual estimation of quality of students' educational cognitive activity in two characteristics-depth of knowledge based on the Hurst exponent and the size of synergetic effect of educational cognitive activity. The software realization of technology of the computerized control of training in disciplines quality as a part of the adaptive training system is enabled in the programming language C#. The experience of implementation and operation of the controlling systems realized in the adaptive training systems based on the fractal model operation showed reliability of their work and allowed to increase the quality of educational process management and its effectiveness in general. Using of fractal techniques in computer assessment of students' knowledge makes it possible to increase the accuracy and speed of evaluation of the students' knowledge to diagnose a wide range of cross-disciplinary knowledge within one discipline.

Founding complexes of multi-stage mathematical and informational tasks in the hybrid intellectual environment of school mathematics

“…Multiple goal-setting of the content and processes in the studying of complex knowledge generalized construct in "problem zone" of mastering mathematics, taking into account of student's interests and readiness (S.N. Dvoryatkina [8]):…”

Integration of Fractal and Neural Network Technologies in Pedagogical Monitoring and Assessment of Knowledge of Trainees

“…Расчет H-показателя Херста позволяет прогнозировать динамику процесса усвоения учебного материала. Ал-горитм расчета H-показателя Херста для одномерного временного ряда, опреде-ляющего количество междисциплинарных понятий, связанных с усвоением клю-чевого понятия, подробно представлен в работе (Dvoryatkina, Smirnov, Lopukhin, 2017).…”

Parameters and Structure of Neural Network Databases for Assessment of Learning Outcomes

“…At the same time, according to the classification of Ostroukh and Surkova (2020), as demonstrated in their monograph, the system that is developed by the authors should be soft and hybrid, with an intellectual interface, with expressed features of expert, self-learning, and adaptive systems. The use of the new technology implies taking into account the specifics of the following set of the system synergistic features: the quality and operability of decision-making; the fuzziness of goals and institutional boundaries; the multiplicity of subjects involved in solving the problem; the randomness, fluctuating and discrete behavior of the environment; the multiplicity of mutually influencing factors; the weak formalizability, uniqueness, and irregularity of situations; the latency and implicitness of information; deviation of plan implementation and the importance of small actions; paradoxicality of decision logic, as is proven in works (Dvoryatkina, Melnikov, and Smirnov, 2017;Dvoryatkina, Smirnov, and Lopukhin, 2017;Dvoryatkina and Shcherbatykh, 2020). The quality assessment system of trainees' knowledge on the basis of neural networks has been proposed by Zhuikov (2014).…”