ABOUT PSYCHO-PEDAGOGICAL FEATURES OF THE TEACHING STOCHASTICS IN THE SCHOOL

Introduction. The psycho-pedagogical features of the teaching elements of stoxastics and understanding of probabilistic-statistical material in a school are discussing in the presents article. The growing international experience of probability theory and mathematical statistics elements teaching, puts forward a number of psycho pedagogical issues that are emerging at the process of probability theory and mathematical statistics elements teaching, as well as understanding of the material of stochastic by the pupils. Methods. System analysis, synthesis, analogy, comparison, pedagogical experiment. The purpose of the article is to identify and analyze the psychological and pedagogical problems that arise during the study of stochastic material. Results. One of the main psycho-pedagogical issues is to find effective ways of forming probabilistic-statistical thinking. Another issue is to determine the age-sensitive period for the formation of main concepts of probabilistic-statistical understanding. Also the problem is determined, which is, that at the beginning study students already have some intuitive understanding on random and lawful, as well as about the possibilities of random fact accruing, based on the experience of own life. These everyday ideas are partly incorrect and conflict with the new stochastic knowledge, obtained by learners at the learning process. The following issues are also discussed: what impact has stochastics in up-brining of a person, how is a process of formation of pre-statistical probabilistic concepts is realizing, is it a natural process, or the result of special training?. Many psychologists and educators –methodists made attempts to find the answers of mentioned problems and questions in their surveys. Conclusion. Researches of psychologists and educators prove the following:  For the formation of initial probabilistic concepts the most favorable age is 11-13 years.  For formation of stochastic thinking the most favorable age is 15-17 years.  Formation of probability-statistical understanding in the mathematics course of the school represents a process of step-by-step training of combinatorial, probabilistic and statistical content on the level, that corresponds to their age characteristics.  Passing on to the probabilistic-statistical material's presentation, it's necessary to take into account an intuitive understanding random's phenomena, already formed within the students, which might be partly in correct.  The teaching will be effective, if the life experience of the students in this area is always taken into account in this area and is appropriately emended.