Journal of Educational Sciences

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Мектеп математика курсында тригонометриялық теңдеулерді шешу әдістерін қолдану
(Al-Farabi Kazakh National University, 2023-03-20)
N. Seidimbek
;
Syrym E. Kasenov
;
А. М. Тлеулесова
;
K. Shiyapov
;
A. Anuar
The article describes the program of the trigonometry section in the school mathematics course andthe application of trigonometry in life. The introduction defines trigonometric equations and mentionsthe types of solutions to the equation. The examples show methods for solving trigonometric equations.The ways of solving simple trigonometric equations and the possibilities of their independent solutionare illustrated. Separately, methods for solving equations were noted, which are actually little used inthe school mathematics course. According to the results of the study, about ten types of methods forsolving trigonometric equations were identified. In order to reveal the essence of the methods of solvingtrigonometric equations, the problems for each method are considered and the ways of deducingthese problems are shown. In addition, this article discussed the difficulties faced by students in solvingtrigonometric equations, and the methods proposed by A. G. Mordkovich in solving these problems.In the final part, the results of the methodological experience of teachers are summarized, whenstudents practiced solving a series of problems on the topic “Methods for solving trigonometric equations”and teachers identified abilities that can be developed in students to solve the equation. In thefuture, it is planned to publish a specific methodological manual on the topic “Trigonometric equationsand inequalities”.Key words: trigonometric equation, methodology, equation solution, methods.
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5 - 6 сынып оқушыларына арналған стандартты емес есептер бойынша элективті курсты ұйымдастырудың ерекшеліктері
(Al-Farabi Kazakh National University, 2022-12-20)
Sh. Rakhmet
;
Syrym E. Kasenov
;
С.Қ. Қалдан
;
A. Anuar
Currently, one of the relevant topics is the inclusion of elective courses in the school curriculum. The education of creative potential, the development of logical thinking, a certain contribution to hardening will lead to a significant result. This article will focus on the elective course program for solving non-standard tasks for grades 5-6 of secondary school. The introduction provides some information about the logical problem. At the same time, the definition of a non-standard report is given. Information about the elective course has been announced. In addition, approaches to the organization of an elective course are provided. About twenty topics have been selected for the organization of this elective course. The topics listed are listed according to the number of hours. We are talking about the logical sequence of the received topics. We are talking about the fact that it is compiled in a logical sequence, based on the shedule plan of the secondary school and comparison on the topics covered. In particular, importance is also attached to the sequential arrangement of algebraic and geometric problems. In order to reveal the meaning of the chosen topic, reports on each topic are provided. The solution of all problems is shown. In the final part, we are talking about preparing pupils for the release of a series of reports on these topics. In the future, it is planned to issue a specific methodological manual for the elective course. Keywords: non-standard problems, elective course, logic, secondary school, methodical manual, problem book.

Journal of Educational Sciences

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