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THE ROLE AND PLACE OF THE COMPUTING APPARATUS IN MODERN TEACHING OF MATHEMATICS

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PDF: Author(s): Melnikov Yu. B., Suetov A. P.,
Number of journal: 3(56) Date: August 2021
Annotation:

Now computer technology has entered professional activity and everyday life. This has led to a dramatic reduction in the need to perform manual calculations. Even among professional mathematicians, symbolic calculations are often performed using software tools: Maple, GAP, Maxima, MathCAD, etc. Therefore the priorities of mathematical education should change and even the nature of teaching mathematics should change, since in practice the main advantage of mathematics was considered to be its powerful and an efficient computing apparatus. It is intuitively clear that a complete refusal to study the computing apparatus will lead to a catastrophe not only in the perception of the mathematical apparatus, which is far from being exhausted by its computational component, but also in the system of engineering, economics, and other areas of education. Under these conditions, the words of M. Lomonosov “Mathematics should be taught for at least the one reason that it puts the mind in order” acquire special significance and should be reflected in mathematics teaching programs and the corresponding educational and methodological support. Currently, the question of the role, place and functions of the traditional computing apparatus in modern society and the education system is relevant. In the work, a model of the computing apparatus of mathematics is built, the directions of using the computing apparatus of mathematics are highlighted: 1) the use of the computing apparatus of mathematics in modeling, i. e. 1.1) modeling of non-mathematical objects by means of mathematics; 1.2) modeling of mathematical objects by means of mathematics; 1.3) modeling of mathematical objects by non-mathematical means; 2 he use of the computing apparatus of mathematics in modeling activities, i. e. 2.1) modeling of a management system of mathematical and “near-mathematical” activities; 2.2) modeling of a system of tools of mathematical and “near-mathematical” activities. A system for selecting components of a computing apparatus for the formation of a training course is briefly presented.

Keywords:

computing apparatus, analytical apparatus of mathematics, theory and methods of teaching mathematics, models of mathematics, models of computing apparatus of mathematics, selection of components of the mathematical computing apparatus, management of mathematical activity, tools of mathematical activity, activity strategies, models-polyads, modeling.

For citation:

Melnikov Yu. B., Suetov A. P. The role and place of the computing apparatus in modern teaching of mathematics. Business. Education. Law, 2021, no. 3, pp. 365—373. DOI: 10.25683/VOLBI.2021.56.309.