ОБЩАЯ ТЕОРИЯ РЕШЕНИЯ ЗАДАЧ ПРИМЕНИТЕЛЬНО К НАЧЕРТАТЕЛЬНОЙ ГЕОМЕТРИИ

Abstract

One of the drawbacks of the domestic educational system is the inadequate ability of the graduates of educational institutions to apply the obtained knowledge in the solution of practical problems. The general theory of problems solution can help them in overcoming it, and at the same time it is the basis of a new science - the science of ratiology. This theory is concerned with the precise formulation of problems and the schematic methods of their solution invariantly to subject domains. Due to it, the apparatus of this theory (R-methodology of problems solution) can be applied in any of them. An example of using R-methodology for the solution of rather specific problems of descriptive geometry is considered in the article. The good scientific basis, modern nature and subject invariance of R-methodology allow using it as a unified tool for teaching to solve a wide variety of problems in educational institutions of different levels and directions. At the same time, a number of interesting possibilities of the modernization of the entire educational process appear: the formation and wide use of local and integral databases, an emphasis on students’ independent work with them, decrease in the part of insufficiently effective forms of teaching and so on.