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Methodology of teaching graphic methods for solving problems with parameters as a means to achieve high mathematics learning outcomes at school

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dc.contributor.author Zakirova V.
dc.contributor.author Zelenina N.
dc.contributor.author Smirnova L.
dc.contributor.author Kalugina O.
dc.date.accessioned 2020-01-15T21:46:40Z
dc.date.available 2020-01-15T21:46:40Z
dc.date.issued 2019
dc.identifier.issn 1305-8215
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/155848
dc.description.abstract © 2019 by the authors. The introduction of new standards of mathematical education requires to stop understanding of the learning process as the transfer of ready-made knowledge and experience. Educational activity built on the principle of self-construction of knowledge by schoolchildren is highly demanded in new environment. Tasks with parameters have high learning, development, research and diagnostic potential. It allows to identify and in the process of teaching mathematics to prepare students who possess subject knowledge at the highest level, corresponding to the trends of the time. The urgency of the problem under study is determined by the need for students to form the ability to solve problems with parameters in order to achieve high results in mathematical, intellectual and personal development. The aim of the research is to develop a methodology for teaching students how to solve problems with parameters as an effective means of high-quality mathematical studies. The authors have identified main methods for solving problems with parameters and approaches to their study, and proved the theoretical basis for the application of these methods in the learning process. Therefore, they have shown the role of the propaedeutic stage of teaching graphic methods for solving problems with parameters, its goals, objectives and content. The authors suggest a methodology for designing a system of tasks that contributes to achieving high learning outcomes, which has passed multi-stage approbation. Moreover, they prove the need to use the Live Mathematics software as an effective visualization tool for studying graphic methods for solving problems with parameters. The methodology described in the article can be used by teachers at school and extracurricular mathematics classes, by the authors of textbooks for students and teachers, and it can also be the basis for a special course for students of pedagogical universities.
dc.relation.ispartofseries Eurasia Journal of Mathematics, Science and Technology Education
dc.subject Methods for solving problems with parameters
dc.subject Problems with parameters
dc.subject System of problems
dc.subject Teaching mathematics
dc.subject Teaching methods
dc.title Methodology of teaching graphic methods for solving problems with parameters as a means to achieve high mathematics learning outcomes at school
dc.type Article
dc.relation.ispartofseries-issue 9
dc.relation.ispartofseries-volume 15
dc.collection Публикации сотрудников КФУ
dc.source.id SCOPUS13058215-2019-15-9-SID85066490563


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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