Bochkareva L.V. 1
1 Polytechnical College of Ishim
As a result of the carried out research the theoretical principles of the development of analytic-synthetic competence are defined. It is revealed that such subject as “Probability theory and mathematical statistics” promotes the organization of purposeful work in students’ analytic-synthetic competence development. The analysis of problems in “Probability theory and mathematical statistics” subject has shown that the strategic problems are one of the types of problems promoting the development above-mentioned competence. In a strategic problem it is required to count advantageous strategy. To solve a strategic problem the students have to unite knowledge from different educational fields, offer new ways of argumentation, refutation of hypotheses, forecasting and assessment of results. When solving a problem students develop strategy of its solution, form and prove hypotheses by experimental way, predict results of their activity, analyze and find rational ways of the solution of a problem by means of optimization, specification of the created algorithm. During the solution of a strategic problem it is possible to model a situation (carrying out experiment) that makes it easier to find the way of the solution.