Математическое моделирование и информационные технологии в образовании и науке (ММ ИТОН)», посвященная 70-летию со дня рождения профессора Е.Ю. Информационные технологии как фактор использования математического наследия аль-Фараби в современном образовании. Информационные технологии как фактор использования математического наследия аль-Фараби в современном образовании.
УДК 519.632.4
Кіріспе
Білікшенің теңдеуі үшін сызықтық емес есепке сәйкес келетін оператордың меншікті функцияларының екі жақты бағалаулары
0lim 0
Вспомогательные утверждения
Единственность решения краевых задач
Исследование существование решения задачи D и N
On the solvability of principal boundary value problems for a non-local Poisson equation // Turkish Journal of Mathematics. Analogues of classical boundary value problems for a second-order differential equation with deviating argument // Differential equation. Inverse problems for a nonlocal wave equation with an involution perturbation // Journal of Nonlinear Sciences and Applications.
Ob odnoj nelokal'noj kraevoj zadache s naklonnoj proizvodnoj[On a non-local boundary value problem with an oblique derivative]. 2004) Analogues of classical boundary value problems for a second-order differential equation with divergent argument. 2017). Inverse problems for a nonlocal wave equation with an involution perturbation //. Journal of Nonlinear Sciences and Applications. On solvability of some nonlocal boundary value problems for polyharmonic equation [On solvability of some nonlocal boundary value problems for polyharmonic equation].
Используется метод Чой-Хасанова, основанный на обратных парах символических операторов H a c и H ac , представленный в 2011 г. в статье Джунсанг Чой, Анвар Хасанов, «Применения оператора H a c к дуальным по Гумберту гипергеометрическим функциям». С помощью этих расширений мы можем исследовать разрешимость некоторых краевых задач для уравнений в частных производных.
Введение
Keywords: Appeal hypergeometric function, Lauricella hypergeometric function, Saran hypergeometric function, Four-variable hypergeometric series, decomposition formulas, Identities of operators, Inverse pairs of symbolic operators.
Операторные тождества
Формулы разложения
New York, Toronto and London: McGraw–Hill. 2007) Decomposition formulas associated with Lauricella multivariate hypergeometric functions. Wiley, New York, Brisbane, Chichester and Toronto: Halsted Press (Ellis Horwood Limited, Chichester). 1936) Introduction to the Theory of Linear Differential Equations.
ФИЗИКА, ФИЗИКАНЫ ОҚЫТУ ӘДІСТЕМЕСІ ФИЗИКА, МЕТОДИКА ПРЕПОДАВАНИЯ ФИЗИКИ
The functions of the change in the "diffusion-gravitational concentration convection" regimes in isothermal ternary gas mixtures have been investigated experimentally and numerically. Calculation results are compared with experimental data on the location of the instability limits in the studied gas mixtures. The intensity of convective mixing is also influenced by the content of the component with the highest molecular weight in the original mixture.
In work [2], high-quality shadow images of diffusion instability in the flasks of the diffusion apparatus are shown. The synergistic effect is associated with a significant increase in the degree of mixing of system components. The experimental values of the component concentrations within the experimental error coincide with the calculated results.
The intensity of convective mixing is also influenced by the content of the component with the highest molecular weight in the initial mixture. If the content of the component decreases, the intensity of convective mixing decreases, as a result, at a certain initial content, only diffusion occurs.
0,divν
Satisfactory agreement is found between the experimental and calculated data on the location of the instability limits in the gas mixtures studied. The content of the school physics course is the basis of science physics, a system of knowledge about the world around us. The elementary school physics course is a course that studies physical phenomena (mechanical, thermal, electrical, electromagnetic, light) and physical laws; the study material is grouped around physical phenomena, which are arranged in the course according to the complexity of the forms of movement of matter.
One of the elements of this system is the physical theory and methods of theoretical knowledge. Given the limits of applicability of the Drude-Lorentz theory, it will protect students from dogmatism in the study of physics. Theoretical conclusion, systematization of the content in learning physics is the basis of theoretical thinking ability.
Gathering and analyzing facts related to the person's action against the subject. When implementing the applied orientation of physics lessons, there are certain criteria for the selection of teaching material of an applied nature.
ИНФОРМАТИКА. ИНФОРМАТИКАНЫ ОҚЫТУ ӘДІСТЕМЕСІ
БІЛІМ БЕРУДІ АҚПАРАТТАНДЫРУ
Introduction
Nowadays, a transition from a knowledge paradigm to a competence-based approach is considered to be one of the priority areas of the educational policy of the Republic of Kazakhstan. The main idea of the competence-based approach in education is the development of key competences of future specialists, which form their professional competence [1]. So, today, the issue of training the professional competence of future specialists is considered important.
For these purposes, the professionally oriented foreign language has been taught since 2013 as a mandatory discipline for all specialties at Kazakh higher education institutions (HEIs) [2]. The discipline focuses on students acquiring the content of the subject through a foreign language, as well as on giving students opportunities to improve their foreign language knowledge through vocationally oriented teaching aids. In addition to this challenge, there are also others, as well as a lack of pedagogues with both subject and English skills, subject-oriented teaching guides in English, effective teaching approaches, etc.
Therefore, more effective ways must be sought to achieve vocationally-oriented competence development of non-linguistic specialization students. The use of modern digital technologies including Web 2.0 technology in the teaching of the professionally oriented foreign language can be considered as one of the possible ways to manage the current situation.
Literature review
In contrast to Russia, foreign language discipline in Kazakhstan is considered a prerequisite for teaching professionally oriented foreign language courses for all specialties at higher educational institutions. Kazakh researchers note the importance of teaching professionally oriented foreign language as a separate discipline, as it allows to concentrate more on professional orientation of a particular specialty. As it appears from [6], it is proposed to develop the students' communicative competence in academically oriented foreign language teaching through a communicative method.
Another group of researchers [7] highlights the essence of the use of a model for professionally oriented foreign language teaching by students of non-linguistic specialties. It is the students' readiness for professional verbal interaction and communication, readiness for creative professional activity and mastery of a professionally oriented foreign language, in other words the professionally oriented competence. The effectiveness of the proposed model for teaching professionally oriented foreign language for students of non-linguistic specialties has been proven by a pedagogical experiment.
By comparing the results of pre- and post-experiment procedures, the researchers identified the improvements in the formation of non-linguistic students' professionally-oriented competence, which again demonstrated the effectiveness of the proposed model. Despite the fact that the two view results show the effectiveness of scientists' studies, the proposed approaches to the formation of professionally-oriented competence of students of non-linguistic specialties cannot meet the current requirements of society and government.
Research methods
In addition, the researchers highlight that the traditional approach to teaching this discipline does not work properly and cannot meet the modern demands of society and government. This is explained by the fact that students in most cases find it difficult to speak a foreign language despite being good at grammar and having the necessary vocabulary to do so. During their investigations, the researchers used academically oriented materials, which they divided into three categories: text-based, task-based and authentic.
At the end of the investigation, the students took part in a survey which aimed to define the role of the communicative method in the development of the learners' communicative competence. According to the proposed model, it is recommended to carry out an educational process by implementing active teaching methods such as professionally oriented role-playing games, brainstorming and methods of projects. In the context of a digitization of education, it is required to take into account the didactic capabilities of digital technology, including Web 2.0 services, as well as interactive methods and organizational forms of teaching.
It is important to involve students in real professional-like activities through interactive teaching methods and organizational forms such as flipped classroom technology, brainstorming sessions, professionally-oriented role-playing, seminars/webinars, etc. It is mainly used to measure respondents' attitude by providing a series of answers to a given question or statement [9].
Research results and discussion
The survey included questionnaire items to identify students' attitudes towards teaching methods, methods of communication, digital tools, satisfaction or dissatisfaction, degree of agreement or disagreement with respect to classroom procedures, problems while studying the course, and so on. It should be noted that the survey was completely anonymous and organized online through Google Forms. It means that students highly appreciate the use of digital technologies while studying the Vocationally Oriented Foreign Languages course and confirm its practice-oriented nature.
It should be noted that two or three respondents chose the same option for all the statements of the Linker scale questions. Therefore, we cannot rule out that some respondents did not take the survey seriously.
Conclusion
So it is required to pay more attention to the formation of the professionally oriented competence of future specialists, especially students from non-linguistic professions. Order of the Acting Minister of Education and Science of the Republic of Kazakhstan of August 16, 2013 No. 2019). In Proceedings of the Second International Workshop on Computer Modeling and Intelligent Systems (CMIS-2019), Zaporizhzhia, Ukraine, April p.
6 Krasnobayev V., Kuznetsov A., Yanko A. and Kuznetsova K., The data errors control in the modular number system based on the nullification procedure in Proceedings of The Third International Workshop on Computer Modeling and Intelligent Systems (CMIS-2020), Zaporizhzhia, Ukraine, 27 April - 1 May 2020 (S. Subbotin, ed.), vol. In Proceedings of the Second International Workshop on Computer Modeling and Intelligent Systems (CMIS-2019), Zaporizhzhia, Ukraine, 241–252. The article examines the models and technologies of the digital ecosystem of the Abai KazNPU educational environment in the context of distance learning.
Проведен анализ проектов и решений в разрезе описанных компонентов интегрированной экосистемы вуза. Всего STEM представляет собой учебную программу из четырех конкретных дисциплин: Science (физика, биология, химия), Technology (информатика, робототехника и т. д.), Engineering (приобретение и применение технических, научных и математических знаний для разработки и внедрения материалов, конструкций, машин, устройств, систем и процессов, которые безопасно достигают желаемой цели) и Mathematics (математика). 17 марта 2018 года в Казахском национальном педагогическом университете имени Абая на базе международной научной лаборатории проблем информатизации образования и образовательных технологий состоялся международный казахстанско-российский семинар «Педагогический STEM-Парк».
Заранее подготовленные видеоуроки на сайте Педагогического STEM-парка (уроки доступны по адресу http://stempark.kaznpu.kz/onlinecourserobotech/page7.html).
