Mathematical Models and Methods of Supporting the Solution of the Geometry Tasks In Systems of Computer Mathematics for Educational Purposes

The article is devoted to the problem of supporting the course of solving tasks in geometry in systems of computer mathematics of educational purposes. In the work: the mathematical model of the learning geometric task is defined; the object-oriented approach to the description of mathematical models of geometric training modules is presented; the methods of supporting step-by-step solving of learning geometric task are proposed; the classification of elementary transformations in geometric subject modules is proposed; the implementation of the concept of support for the solution of geometric tasks in the systems of computer mathematics of educational purposes is illustrated. Object-oriented analysis of the problem revealed three major classes of transformations of geometric objects. These are constructors, selectors, and converters (elementary geometric tasks).