期刊名称：Eurasia Journal of Mathematics, Science & Technology Education
印刷版ISSN：1305-8223
电子版ISSN：1305-8223
出版年度：2019
卷号：15
期号：9
页码：1-12
DOI：10.29333/ejmste/108451
出版社：Pamukkale Univ Dept Sci Education
摘要：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.
关键词：teaching mathematics; problems with parameters; methods for solving;
problems with parameters; system of problems; teaching methods
