RESEARCH OF THE APPLICATION OF ITERATIVE OPERATIONS IN SCHOOL MATHEMATICS – ONE OF THE SPHERES OF THE ORGANIZATION OF SCIENTIFIC RESEARCH ACTIVITY OF STUDENTS

Zh.A. Sartabanov, A. Shaukenbaeva, A. Baiganova
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Abstract

The article draws attention to the emergence of new operator operations through the reuse of simple mathematical operations and their application in everyday life, scientific and technical processes. An example of this idea is the fact that arithmetic and geometric progressions known from school mathematics arise from the repetition of simple operations. In addition, noting that the concept of a higher order derivative is a derivative of the multiple use of the derivative method, the final part of the article considers the original problem for a differential equation to determine an unknown function given by a higher order product. Of course, the solution to this problem requires a large number of solving problems from the student, subtle cognitive abilities. For example, a function with an upper limit of a variable integral, the application of the partial integration method to such functions, and other transformations require a great deal of mastery of explanation on the part of the teacher and considerable preparation in mastering the mastery of the student. Note that the purpose of this article is to deepen differential equations and expand the field of application in high school. Therefore, the main task is to describe the methods of integrating differential equations in the pedagogical and methodological base of school mathematics.
研究迭代运算在学校数学中的应用——学生科研活动组织的一个领域
本文通过对简单数学运算的重用,以及在日常生活和科技过程中的应用,来关注新的运算符运算的出现。这种想法的一个例子是,学校数学中已知的算术和几何级数是由简单运算的重复产生的。此外,注意到高阶导数的概念是导数的多次使用的导数方法,文章的最后部分考虑原问题为微分方程确定未知函数的高阶乘积。当然,解决这个问题需要学生大量的解决问题,微妙的认知能力。例如,一个函数的上限是变量积分,部分积分法在这类函数上的应用,以及其他的变换,都需要教师掌握大量的解释,也需要学生掌握大量的准备。请注意,本文的目的是深化微分方程并扩大其在高中的应用领域。因此,本文的主要任务是在学校数学的教学和方法论基础上描述微分方程的积分方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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