FORMATION OF MATHEMATICAL MODELING METHODS OF PEDAGOGICAL STUDENTS IN THE PROCESS OF SOLVING PRACTICE-ORIENTED PROBLEMS
The article substantiates the possibility and expediency of forming methods of mathematical modeling for students of the pedagogical direction in the process of solving practice-oriented problems. Interpretations of the concepts «mathematical model», «mathematical modeling», «practice-oriented task» are considered, the content of the stages of mathematical modeling in the process of solving practice-oriented problems is disclosed. Mathematical modeling is considered as a necessary competence in the mathematical education of future teachers, as a factor in the continuity of teaching mathematics at a university and school. In the course of the study, methods for the formation of mathematical modeling in the process of studying mathematical analysis and the actions that make up each method were identified; the main types of practice-oriented tasks for the formation of selected actions are determined. A model has been developed for the formation of mathematical modeling techniques in the process of solving practice-oriented problems, including the following components: target, content, procedural and result-evaluative. It is substantiated that the formation of methods of mathematical modeling of practice-oriented tasks is most effective if this process is carried out in stages, 5 stages are distinguished: preparatory, motivational, indicative, the stage of formation of individual actions, the formation of the technique as a whole. Examples of solving practice-oriented problems of a production nature, illustrating the methods of mathematical modeling, from different areas are given.