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1 | Modern competence-based approach involves practical, professional orientation of mathematics education. In the acute shortage of teaching time it requires a special approach to the selection of the content of the discipline, methodology and technology of education. A methodical system of professionally-oriented tasks serves as a means of implementation of the relevant approach to teaching mathematics and the formation of readiness of future managers to professional activity. Discusses the purposes and principles of the system, the characteristics of the selected tasks. To illustrate the system was used a compliance matrix the elements of which are the task and the individual steps of their solution corresponding to the content of the sections of the discipline and form competencies. The article gives the examples of professionally-oriented tasks of the system, recommendations for their use in various forms of training. The introduction of methodical system of professionally-oriented tasks in the practice of teaching mathematics allows: to increase motivation of the discipline, and, consequently, to improve the quality of education; to implement general educational functions of education and development of students; to form a common cultural and professional competences of future specialists. Keywords: professional competence, teaching mathematics in higher professional institurion, specialized approach, professionally-oriented tasks | 1138 |