Grybyuk O. Mathematical modelling as a means of ecological education of pupils in the process of teaching mathematics in forms of specialized study of chemistry and biology

The dissertation contains well-grounded scientific and methodological foundations for development of stages of mathematical modelling as a means of ecological education and implementing them according to a heuristic scheme into the process of teaching mathematics in a secondary school. The didactic essence as well as psychological and pedagogical background for using the system of problems of applied (ecological) direction received an extensive coverage. The classification of the problems was carried out and their place in the system of experimental school teaching and at the lesson was defined. The mechanisms of stimulating influence on shaping a cognitive interest were systemized and modelled. A functional model was worked out concerning a regulatory process of pupils' activity in conditions of individualization and enhancing operational approach to the teaching process. The carried out research enabled us to single out a structure of the system of problems which realizes their educational, developing and upbringing functions. The appropriately selected system of problems ensured formation of habits and skills of mathematical modelling at a rather high level. The expediency of combining new information technologies and traditional methodological teaching systems has been revealed. Тhе using of information communicative texchnologies gieves considerable pedagogical effect, when we solve applied problems, we model objects create obvious imagine about concept in teaching mathematics. The application of the information technology GRAN ensures a considerable pedagogical effect on solving problems, modelling objects; it creates a clear vision of the concepts under study. By means of GRAN we check the correctness of the construction and expediency of a certain mathematical model. The pedagogical effectiveness of the suggested methods was checked during experimental teaching.