INTEGRATED APPROACH TO SELECTION OF THE CONTENT OF SCHOOL MATHEMATICS TEXTBOOKS

Abstract

It is substantiated that the integrated approach to the selection of the content of school mathematics textbooks contributes to the effective mathematical training of students, sufficient for successful study of other school subjects, the use of mathematics in life situations, various areas of future professional activity. The realization of this approach involves taking into account the peculiarities of educational activities of the modern students (focus on the practical use of knowledge, lack of desire to master the material without realizing its need for successful livelihoods, to process textbook texts if they are large, not enough structured and interconnected). Methodological techniques for the implementation of the integrated approach to the selection of content are given, in particular: consolidation of educational material (not to delay the study of analogical, similar, interconnected concepts, mutually inverse statements, theorems, functions, operations, etc.); study of concepts, statements, formulas, methods of activity taking into account the content and methodological lines of presentation of the educational material; grouping tasks with a focus on their application in practice; strengthening the links between algebra and geometry (the use of geometric methods and images in algebra and analytical interpretation of geometric facts, etc.). It is grounded the expediency of creating an integrated textbook on mathematics at the standard level by introducing generalizing concepts of modern mathematics, which allow from a single scientific position to interpret the basic algebraic and geometric concepts. Methodology of the integrated approach at the interdisciplinary level: mathematics and other subjects (physics, chemistry, biology, geography, art, etc.), mathematics and fields of activity (engineering, technology, production, economics, medicine, ecology, etc.) — should include the selection of those typical practical situations for which these mathematical models are most often used. It is recommended to first identify the magnitudes of practical situations and formulas for their calculation, and then solve the corresponding simple problems of practical content.