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AUTOMATED INTELLECTUAL TRAINING SYSTEMS IN MATHEMATICS AS A MEANS OF DEVELOPMENT OF PROBABILITY THINKING STYLE
Abstract
Currently relevant are the issues of improving the intellectual management of the educational process in the structure of subject mathematics teaching. The solution of this problem is aimed at ensuring the individual needs of each student in self-education and self-actualization, at the activation of cognitive, intellectual, motivational processes in the context of the new digital educational paradigm. The leading idea of the study is the development of an automated intelligent learning system in mathematics (ILS), serving as a means of developing a style of thinking (PST). Probabilistic style of thinking is a professional tool of the modern specialist, by means of which the efficiency of making optimal decisions in the context of incomplete data or redundant information is achieved. Effective development of probabilistic style of thinking is carried out through the individualization of mathematical training and its interactive management based on information about the dynamic individual characteristics of students, according to the criteria for the development of probabilistic style of thinking. The core of an intellectual educational system are logical modules that are implemented on the basis of a combination of artificial intelligence methods (fractal methods, fuzzy logic, neural computations, etc.). The study shows the main stages of the design of ILS: (I) the representation of the external interface of ILS; (II) description of the ILS core structure (user authentication block; information and guidance block; accumulative information bank for users; Internet interface; interface with administrators; graphic visualization module; educational information material; diagnostic material; artificial intelligence block; verification and qualimetry); (III) establishing the main links between the components of the core architecture. The proposed ILE allows you to form dynamic links of pedagogical control with training for effective management of the educational process, ensuring the maximum developmental effect for the future specialist. ILS is focused on improving the quality of the educational process both from the informational, prescription side, and in the context of the development of high-speed work on the basis of the implementation of artificial intelligence methods.
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