GENERATING SIGNS OF SCIENTIFIC AESTHETICS IN THE PROCESS OF TEACHING MATHEMATICS: HARMONY

Harmony is one of the most important elements of an аesthetics and has thousand-year history. Harmony is shown everywhere: since Solar system and the Universe, the smallest particles of the nature, human genes, each certain person and public units to society in general. Harmony is also widely shown in Mathematics, becoming one of its most important principles of aesthetic attractiveness of its architectural structure. The number, numerical comparing, the size, the geometrical figures, symmetry participating in harmony creation give esthetic attractiveness to objects and natural phenomena and arts not only because "the gold book of the nature is written in mathematical language", but also because this mathematical book is written beautifully. One of the basic principles which are the cornerstone of this beauty is harmony between mathematical objects. And harmony in mathematician doesn't come down only to mathematical harmony at all: to the quantitative expression of things and phenomena or to their intrinsic manifestation. All mathematical theorems are a manifestation of internal communications between objects and regularities, or harmony. And what is surprising, initially having motives of harmony with the nature, the mathematics develops, proceeding from own laws and regularities, the principles of harmony, but in the new mathematics created and generated in the way it finds the application in a nature research that, besides, in harmony with the nature. The first feature of harmony of course the internal unity of these mathematical materials which in a mathematical technique is characterized by the term "interdisciplinary communication" shall appear. We will add that this unity of parts, representing the partial trait phrasing of a scientific aesthetics of unity of sets, also promotes increasing the general attractiveness of aesthetic architecture. School course of mathematics, considering the public and educational purposes, includes separate sections of mathematics (the general mathematics), and also contains the most various materials concerning the fields of its application: science, technique, economy, sport and other aspects of human activity. Harmony shall be shown not only in the organization of mathematical material, but also in presentation of application-oriented elements. Harmony shall be shown also in numerous and various interobject relations of mathematics with other learning disciplines, in the teacher's relations with pupils in educational process and out of it, etc.