Abstract
The article considers the issue of the formation of research competencies of future fire and techno sphere safety engineers in the process of teaching mathematical disciplines. It is proposed to organize the research activities of cadets, taking into account the principles of practice-oriented teaching. The methodological basis of the research is based on the key provisions of a practice-oriented approach to teaching mathematics, modern methods of scientific and pedagogical research, requirements for the level of development of research competencies among future rescue engineers. The structure of the research activity of cadets in the process of teaching mathematics is presented in the form of four components: motivational, cognitive, activity-based, reflexive. The characteristics of each component from the point of view of practice-oriented learning are given. The types of research activities that contribute to the formation of research competencies of cadets of fire-technical specialties in teaching mathematics are indicated, the goal and educational tasks of performing each type of activity. Requirements for the subject matter, the content of term papers and research work in teaching mathematics to future fire safety engineers are formulated. The examples of assignments for the course work in the discipline "Probability theory and mathematical statistics" are given. A fragment of tasks for research work in higher mathematics for cadets of the specified specialties is presented. The specifics of assessing the level of formation of cadets' readiness for research activities in the study of disciplines of mathematical training cycle are indicated. Incentive and operational criteria are dominant. Based on the results obtained, the goal of the practice-oriented research activity of cadets of fire-technical specialties in the process of teaching mathematics was formulated. The conditions that favor the formation of practice-oriented research competencies of a fire and techno sphere safety engineer in the study of mathematical disciplines are indicated.
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