In today’s rapidly changing socio-economic conditions, people often have to face the problems, the solution of which is non-standard. A potentially possible means of the creative problem solving is a probabilistic style of thinking, which implies a departure from stereotypes. It is often connected with a refusal to act according to strictly determined rules, and a deviation of the negative attitude to the randomness of many phenomena and processes of the world. The order is born out of chaos as a result of self-organization. The article proposes a solution to the problem of achieving the quality and productivity of education through the development of schoolchildren’s probabilistic thinking style while training them for the Unifi ed State Examination in mathematics of the profi le level. A substantial component of the elective course “Probabilistic nature of mathematical problems of the Unifi ed State Exam” in mathematics in the system of general education is proposed. A group of tasks is presented which are done with the use of operations: the analysis and synthesis, combination, transposition, evaluation. The actualization of the components of the probabilistic style of thinking is aimed at improving the effi ciency of the learning process, improving the entire holistic system of development and self-development of the student’s personality. The main task of the informative fi lling of the elective course in mathematics in general education is to form a unifi ed scientifi c picture of the world in students, to develop a new culture of thinking, to identify interdisciplinary connections and to combine diff erent activities in the learning process. The reported study was funded by RFBR according to the research project № 18-313-20002 “Theoretical and methodical ensuring the fractal formation and development of the probabilistic style of thinking in the conditions of global informatization of education (on the example of teaching mathematics)”.
Life in today's world is characterized by high speed, abundance of events and changes that entail states of instability and instability, misunderstanding of oneself, one's attitude towards events and changes. The daily flow of all kinds of information is already so great that its constructive perception and analysis in this environment becomes difficult. In this regard, it is important, already in school years (in particular, at the senior level of education) to form an "objective" worldview of students, designed to help justify the cause-and-effect relationship of events and phenomena, based on a system of accurate common scientific knowledge about the world, man and methods of knowledge. The most complete and systematized set of knowledge about the surrounding reality allows students to form a holistic view of the world, its attitudes and features, determine the structure of the scientific picture of the world, expand their horizons, develop creative skills. Mathematical education brings a specific contribution to the development of thinking and worldview of students through the pronounced practicality of mathematical knowledge, skills and abilities, the ability to act in the conditions of uncertainty and ambiguity. Forming stochastic worldview of high school students, it will be possible to bring them closer to the real reality with its problems and paradoxes, to evaluate the globality and universality of stochastics as one of the sections of mathematics, which has a practical output in any science. The specificity of stochastics is reduced to the procedure of understanding, which permeates all acts of thinking by perception and cognition of the surrounding world in the system of complex interconnections, comprehension and application of systemforming relations invariant under the influence of processes of reality. The presence of stochastic elements in the educational system is an important condition for increasing the intellectual abilities of students.
The article is devoted to the study of the peculiarities of the stochastic worldview of high school students. Stochastic world outlook lays the landmarks of creative and practical activities, helps to create favorable conditions for development of intellectual potential of a pupil. Digitalization in education determines the dominant nature of both the active use of modern methods, tools and technologies of education, and the formation of students' digital skills, training in data processing and analysis, which is closely related to the teaching of stochastics and indicates the relevance of research. In this regard, the untapped potential of stochasticity is greater than any other field of knowledge. Widely used probabilistic-statistical methods contribute to the study of variability and complexity of political, economic, social processes. In this regard, a model of formation of stochastic worldview of high school students in the conditions of digitalization of mathematical education is developed. This model is a set of educational and digital information content, which gives the results of the educational process a new quality of education, allows you to realize the integrity of the worldview, values and motivational constructs, creates the necessary conditions under which it becomes possible to generate knowledge by students themselves based on self-development and self-actualization, their active and productive creativity.
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