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Організація вивчення об'ємів геометричних тіл у старшій профільній школі на рівні стандарту

Електронна бібліотека НАПН України

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Relation http://lib.iitta.gov.ua/715020/
http://ped-ejournal.cdu.edu.ua/article/view/3102/3299
DOI 10.31651/2524-2660-2018-16-57-73
 
Title Організація вивчення об'ємів геометричних тіл у старшій профільній школі на рівні стандарту
Organization of the study of volumes of solids in the senior specialized school at the level of standard
 
Creator Тарасенкова, Н.А.
Сердюк, Зоя Олексіївна
 
Subject 37.02 General questions of didactics and method
 
Description Розглянуто особливості організації вивчення об’ємів геометричних тіл на рівні стандарту в курсі геометрії 11 класу (об’єми многогранників, об’єми циліндра і конуса, об’єм
кулі). З’ясовано, що вдалий добір практичних й прикладних задач та дидактично виважена організація їх розв’язування сприяють більш ефективному засвоєнню учнями старшої профільної школи матеріалу зі стереометрії.
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.
 
Publisher Чекркський національний університет ім. Б. Хмельницького
 
Date 2018
 
Type Article
PeerReviewed
 
Format text
 
Language uk
 
Identifier http://lib.iitta.gov.ua/715020/1/2018_%D0%92%D0%B5%D1%81%D1%82%D0%BD%D0%B8%D0%BA%20%D0%A7%D0%A3.pdf
- Тарасенкова, Н.А. (orcid.org/0000-0002-6418-6380 <http://orcid.org/0000-0002-6418-6380>) and Сердюк, Зоя Олексіївна (orcid.org/0000-0002-9376-4346 <http://orcid.org/0000-0002-9376-4346>) (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