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COMPUTER MODELING OF POLYHEDRAL AREAS OF CONE SURFACE AS A FACTOR OF PROFESSIONAL DEVELOPMENT OF THE PERSONALITY
Abstract
In this paper computer and mathematical modeling with synergetic effects present one of the В«problem zonesВ» in mathematics concerned with the surface area of three-dimensional bodies. The main activity of students is to construct the multifaceted surfaces (for example, Schwartz cylinder (or "boot")) using computer and mathematical and adapt the most important generalized constructions of surface area to the actual positions of mathematical knowledge and fractal parameters. The computer design and mathematical modeling of nonlinear dynamics of synergetic effects manifestation are developed by systematically and dynamic invariants are revealed in the course of surface area mastering. Namely, the means of the QT Creator and GeoGebra environment are used for computer design of non-linear dynamics of functional and fractal parameters and technological constructs and students reveal the regularities and irregularities of surface area of Schwartz cylinder, sphere and cone approximations. The investigation was carried out on the basis of surface triangulations with regular and irregular limiting grinding by layered polyhedral complexes using computer and mathematical modeling tools.
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References10
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