Abstract
The article describes the aspects of forming general professional competences (GPC-1) through the study of mathematical disciplines; reveals the features of the methodology for the application of problems (profile content problems, case tasks, problem-situations), which are the main means of assessing the formation of the corresponding indicators of competence achievement: AI-1, AI-2, AI-3, etc. The work analyzes textbooks on mathematical disciplines for the presence of problems for objective assessment of professional competence formation level (GPC-1), the problem of the development of the criteria content and assessment tools for formation of professional competences is identified. The authors give examples of problems in the discipline of Mathematics and Mathematical Statistics, designed to form skills for identifying and defining the problem, choosing research methods, analyzing, interpreting the result and transferring fundamental knowledge to the professional activity language.
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