Voloshena V. The development of mathematical modeling skills of high school students in the process of natural and mathematical subjects learning

The thesis presents a theoretical generalization and new practical solution of the topical problem of high school students' mathematical modeling skills development in the process of natural and mathematical subjects learning. The essence, structure and meaning of the terms "model", "mathematical model", "mathematical modeling" is developed, types of mathematical models is selected, heuristic scheme of mathematical modeling is described. Didactic conditions of high school students' mathematical modeling skills development in the process of learning natural and mathematical subjects are identified; structural-didactic model of these skills formationt is developed and theoretically grounded as a result of reseach findings. An authorial elective course "Mathematical Modeling as a Method to Solve Applied Issues" aimed at practical realization of didactic model of high school students' mathematical skills modeling in the process of math and natural subjects learning as well as experimental verification of its effectiveness is developed. Main results of the sudy in implemented into the education process of the general secondary schools. The conducted experimental introduction of the research findings testify to the fact that application of the proposed didactic model for skills of mathematical modeling of high school students that takes into consideration educational requirements of the current generation, especially its education activities and the age factor, guarantees responsible mastering of mathematical modeling by students as a universal method to learn the environment; high level of creative abilities of students; activation of cognitive interest to the study of natural and mathematical subjects and learning efficiency.