Abstract

The paper considers the need to develop some applied pedagogical issues of the general theory of modeling, as well as psychological and pedagogical problems solved by modeling in the learning process, in particular, in the formation of concepts, the interpretation of sign mathematical models and the solution of educational graphic problems, where modeling does not act as an additional method to the current verbal and logical method. The paper gives the examples of visualization in planimetry, the dynamics of proving the Pythagorean theorem by the method of equi partibility, the method of deformation of parts while preserving their areas and the method of cutting theory, as well as an example of an applied problem for three-dimensional modeling of the theoretical surface of a ship hull in a computer-aided design system KOMPAS-3D.

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