Digital Library NAES of Ukraine

Organization of the study of volumes of solids in the senior specialized school at the level of standard

- Тарасенкова, Н.А. ( and Сердюк, Зоя Олексіївна ( (2018) Organization of the study of volumes of solids in the senior specialized school at the level of standard Вісник Черкаського університету, 16. pp. 57-73. ISSN 2076-586X

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Introduction. A state-of-art education is characterized by intensive attention to the schoolchildren and their universal development, their ability to find personal place in society and to be able to highest possible self-actualization in society. Therefore, one of main goals of school education is the development of those abilities of personality, which are needed both for a person and to society. The intensive formation of schoolchildren ability to think reasonably and consistently, analyze, compare, generalize, etc., namely the ability to make correct conclusions and build realistic predictions is considered as most important contribution of mathematical education to the general development of schoolchildren. All these skills students can form and develop during the study of geometry. However, the perception of the course of stereometry causes many difficulties for schoolchildren. Purpose – to consider the peculiarities of the organization of study of the volumes of solids in the course of geometry at 11 grade on the level of standard. Originality. In this paper, the some peculiarities of organization of the study of volumes of solids on the level of standard have been considered, namely: 1) volumes of polyhedrons; 2) volumes of cylinder and cone; 3) volume of sphere. During the study of these topics, it is necessary to familiar the schoolchildren with the notion of volume of geometrical figure, computing formulas of volume of prism, pyramid, parallelepiped, cube, cone, cylinder, sphere and respective rules. Also it is necessary to form the ability to calculate the volumes of mentioned bodies, use the volume as an additional element in problem solving procedure, interpret the graphically represented on figures solids and data, build the auxiliary planimetric drawings. In order to introduce on the lesson main notions from these topics on the level of standard it is appropriate to organize the practical work or demonstration experiment, when schoolchildren would consider the methods of volume measurements by pouring into another container, and also the rule of finding of volumes of solids should be defined with schoolchildren. Conclusion. Therefore, the using of competence-based approach to organization of study of solids (polyhedrons, cylinder, cone, sphere) in the senior specialized school on the level of standard needs the development of system of special tasks and specific learning methodology of learning material presentation and mastering. Apt choosing of mathematical, interdisciplinary, practically-oriented and applied tasks and didactically grounded organization of their solving is interpreted as guarantee of efficient schoolchildren learning of stereometry on the level of standard. At the result the well-grounded schoolchildren knowledge, skills and abilities, which are related to this topic are formed, also the important skills of person at whole are improved.

Item Type: Article
Keywords: Study of stereometry, volumes of solids, level of standard.
Subjects: Science and knowledge. Organization. Computer science. Information. Documentation. Librarianship. Institutions. Publications > 3 Social Sciences > 37 Education > 37.01/.09 Special auxiliary table for theory, principles, methods and organization of education > 37.02 General questions of didactics and method
Divisions: Institute of Pedagogics > Department of Mathematical and Informatics Education
Depositing User: професор Ніна Анатоліївна Тарасенкова
Date Deposited: 27 Feb 2019 08:33
Last Modified: 27 Feb 2019 08:34


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