Formation of competences in the field of mathematical modeling among teachers of vocational training in the conditions of the information and educational environment of the university

Introduction: the article deals with the formation of competences in the field of mathematical modeling of teachers of vocational training in the conditions of the information and educational environment of the university. A model of teaching mathematical modeling in the process of teacher training is proposed. The model is based on the following theoretical principles: the teaching of mathematical modeling of students at the university is ensured by the achievement of systemic integration and continuity of the components of the interdisciplinary space of future professional activity; a system-forming factor in the integration of interdisciplinary knowledge is mathematical modeling, ensuring the integrity, structure, hierarchy and dynamism of knowledge; implementation of the learning process of mathematical modeling is provided by the creation of organizational and pedagogical conditions

Materials and methods: in the process of  writing the article, the following methods were used - a theoretical methodological analysis and synthesis of the available special domestic and foreign scientific and methodical literature, a conceptual analysis of scientific articles and publications on the topic; the study and synthesis of both domestic and foreign developments; application of methods of generalization, comparison, forecasting.

Results: The issues related to the content and structure of the process of teaching mathematical modeling in the framework of professional training of future teachers of vocational training are considered. A modular training program "Mathematical modeling in vocational education" was developed and introduced into the educational practice of the university. An electronic teaching and methodical complex for teaching students to mathematical modeling, integrated into the information and educational environment of the university, which corresponds to the principles of fundamentality, openness, integration, interactivity, personification, has been developed.

Discussion and Conclusions the problem of the formation of competences in the field of mathematical modeling among teachers of vocational training is relevant and considered with identifying, understanding and clarifying the complex pedagogical conditions that ensure the effectiveness of teaching mathematical modeling in the process of professional training of university students.

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