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.

Обсуждается проблема обучения иностранных студентов теории вероятностей. Рассмотрены приемы обучения, направленные на повышение качества обучения иностранных студентов с недостаточным уровнем знаний русского языка решению текстовых задач. Предложено использование в обучении теории вероятностей совокупности приемов визуализации учебного материала и информационной структуры задачи, приведены примеры учебных вопросов различных типов, направленных на понимание ситуаций, описанных в задаче. The problem of teaching probability theory to foreign students is discussed. The methods of teaching are considered, aimed at improving the quality of teaching foreign students with an insufficient level of knowledge of the Russian language in solving word problems. It is proposed to use of a set of techniques for visualizing educational material and the information structure of a problem in teaching probability theory; examples of educational questions of various types aimed at understanding the situations described in the problem are given.