  Lack of methodical support, low level of teachers' awareness of existing
effective teaching technologies such as computer modeling does not allow
students to form their own individual trajectory for development as well as
their competence in natural and mathematical education. The model of use of the
computer modeling system for developing students' competences in natural and
mathematical subjects has been developed. The peculiarities of this model
include its use on the basis of child-centric, systemic, activity,
differentiated approaches with the purpose of forming natural and mathematical
subject students' competences. An important result of the study is the
justification of CMODS selection criteria (variability, accessibility, tooling,
interactivity, intuition, complexity, data visuality, scientific ground of
models, independence, realism); forms and methods of applying CMODS in the
educational process, allocating the aspect of cognitive tasks application
(research, creative, applied) for the students competences formation; the
justification of such forms of evaluation as reflection, formative evaluation,
final evaluation. Computer modeling systems become an alternative to
conventional drawings in paper course books and posters. Imitation processes,
interactive exercises of various types, animation support as well as formative
assessment give each student the opportunity of developing competence and
exploring the world with enthusiasm. The use of CMODS diversifies the process
of obtaining knowledge, allows transfer from passive to active teaching
methods, activates educational and cognitive activity of students, as well as
the creation of an individual trajectory for development for each student in
the process of studying natural and mathematical subjects.
