Nurgali Ashirbayev

• Professor at M.Auezov South Kazakhstan State University

The method of mathematical modeling is a way of understanding the nature of objects described in other fields of knowledge or real-world objects. It is used to explore these subjects more deeply and solve specific problems by applying mathematical tools and techniques.This article discusses the relevance of using the method of mathematical modeling...

The state of the art for research focused on the formation of mathematical thinking and analytical skills in learners revolves around several key developments and approaches in modern education, cognitive science, and instructional technology. It should also be noted that this topic is not sufficiently studied by other researchers, educators, and m...

Relevance. In the era of global digitalisation, more and more spheres of public life are switching to the use of innovative technologies, which also applies to the educational process. Especially important is the process of using digital technologies for exact sciences and those requiring modelling and graphical operations, geometry being one of th...

The purpose of this study was to investigate the relationship between the use of technology and the development of research skills in future teachers, specifically current graduate students participating in Mathematical Olympiads. The study used a quantitative approach and analyzed data collected through a survey. The findings indicated that quanti...

This article addresses the critical need to enhance the professional training of teachers, specifically in the realm of teaching and research activities. The objective is to improve their cognitive and organizational skills to enhance the effectiveness of future educational endeavors. The article's primary focus is the development of a comprehensiv...

An analysis of algebra textbooks of 9 grades allowed to state that in the textbooks little attention is paid to the relationship of the quadratic function with real processes, in some textbooks this connection is completely absent. The purpose of the article is to study the kinematic processes in physics based on functional-graphical lines in mathe...

The purpose of this research is to obtain the opinions of teachers in order to create a mathematical culture of students based on the solution of parametric problems. The qualitative research method was used in this study. The study group of the research consists of 40 mathematics teachers who teach at various high schools in Almaty, Kazakhstan. Re...

The article is devoted to the problem of the formation of students' research skills when learning to solve Olympiad problems in mathematics. The peculiarity of the Olympiad task is that it is non-standard, outwardly similar to the academic task on the subject and requires logic and research. In this regard, the solution of the Olympiad problem in m...

The work is devoted to the generalization of the difference method of spatial characteristics to the case of the plane problem of the propagation of waves in a rectangular region of finite dimensions with a symmetrically-located rectangular cutout at the lateral boundaries. Based on the numerical technique developed in this work, the calculated fin...

In the work in linear formulation the problem of propagation of nonstationary stress waves in an elastic single-supported construction, which is a rectangular strip, is solved. Formulated in terms of stresses and velocities the mixed problem is modeled numerically by means of an explicit difference scheme of through counting, based on the method of...

In this paper, we introduce the higher order generalization of Bernstein type operators defined by (p,q)-integers. We establish some approximation results for these new operators by using the modulus of continuity.

In the article, in a linear formulation, it is solved the problem of the propagation of nonstationary stress waves in a rectangular region, containing within itself a noncentral rectangular hole. The wave process is caused by applying an external dynamic load on the front edge of a rectangular area, and its lateral boundaries are free of stresses....

The paper deals with the problem of propagation of unsteady elastic waves in an elastic multisupport construction, which is a rectangular strip. The mixed problem is formulated in terms of the stress and velocity and is numerically modeled using an explicit difference scheme through computation based on the method of spatial characteristics. The ma...

In this work we consider the problem of the propagation of non stationary stress waves in an elastic body with a rectangular hole in the linear formulation. The wave process is caused by applying an external dynamic load on the front boundary of the rectangular region and the lateral boundaries are free of the stress. The lower boundary of the rect...

Recently, Mursaleen et al. (On (p,q)-analogue of Bernstein operators, Applied Mathematics and Computation 266(2015), 874-882 ) introduced and studied the (p,q)-analog of Bernstein operators by using the idea of (p, q)-integers. In this paper, we generalize the q-Bernstein-Schurer operators using (p,q)-integers and obtain a Korovkin type approximati...

This work is devoted to the generalization of difference method of the spatial characteristics onto the case of the plane problem of wave propagation in a rectangular area of finite dimensions with breaks in the boundary conditions. On the basis of the developed in the work the numerical method it is obtained the calculated finite - difference rati...

Mathematical Education in Terms of Innovative Development A. Pardała, Rzeszów University of Technology, Poland R.A. Uteeva , Togliatti State University, Russia N. K. Ashirbayev, Shymkent University, Kazakhstan E - mail: pardala@prz.edu.pl ; R.Uteeva@tltsu.ur ; ank_56@mail.ru Mathematical Education in Terms of Innovative Development in the journa...

We are going to discuss some important classes of nonlinear integral equations such as integral equations of Volterra-Chandrasekhar type, quadratic integral equations of fractional orders, nonlinear integral equations of Volterra-Wiener-Hopf type, and nonlinear integral equations of Erdélyi-Kober type. Those integral equations play very significant...

We conduct some investigations concerning the solvability of a nonlinear integral equation of Erdélyi-Kober type. To facilitate our study we will first consider a nonlinear integral equation of Volterra-Stieltjes type. Since the mentioned Erdélyi-Kober integral equation turns out to be a special case of that of Volterra-Stieltjes type, we can apply...

The paper presents results concerning the solvability of a nonlinear integral equation of Volterra-Stieltjes type. We show that under some assumptions that equation has a continuous and bounded solution defined on the interval 0, ∞ and having a finite limit at infinity. As a special case of the mentioned integral equation we obtain an integral equa...