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Актуальные проблемы обучения математике и физике в школе и вузе в условиях обновленного содержания образования. Материалы международной научно-практической конференции 25-26 ноября 2021 года, Алматы
Almaty :
КазНПУ имени Абая, Ұлағат, 2022.
Under the general editorship: Д. Н. Билялов
Chapters
Semenov A., В кн.: Актуальные проблемы обучения математике и физике в школе и вузе в условиях обновленного содержания образования. Материалы международной научно-практической конференции 25-26 ноября 2021 года, Алматы.: Алматы: КазНПУ имени Абая, Ұлағат, 2022. С. 11–17.
Скорость цивилизационных изменений растет: на протяжении даже не жизни нынешнего поколения, как обычно говорят в таких случаях, а нашей собственной жизни: в течение последнего десятилетия в окружающем нас мире произошли разнообразные фундаментальные изменения. И это – не просто появление тех или иных информационных технологий, с которым мы сталкиваемся буквально каждый день. Важна даже не скорость, ...
Added: March 11, 2023
Language:
Russian
Смирнов С. В., Миллионщиков Д. В., Уфимский математический журнал 2021 Т. 13 № 2 С. 44–73
В данной работе изучаются характеристические алгебры для систем экспоненциального типа, соответствующих вырожденным матрицам Картана. Эти системы обобщают хорошо известные в теории интегрируемых систем гиперболические уравнения синус-Гордон и Цицейки. Для таких систем, соответствующих матрицам Картана ранга 2, характеристические алгебры описаны явно в терминах образующих и соотношений, и доказано, что они имеют линейный рост. Исследуется связь между ...
Added: September 11, 2026
Смирнов С. В., Glasgow Mathematical Journal 2026 Vol. 68 No. 2 P. 299–316
In the second half of the 19th century Darboux obtained determinant formulae that provide the general solution for a linear hyperbolic second order PDE with finite Laplace series. These formulae played an important role in his study of the theory of surfaces and, in particular, in the theory of conjugate nets. During the last three ...
Added: September 11, 2026
Смирнов С. В., Journal of Physics A: Mathematical and Theoretical 2023 Vol. 56 No. 26 Article 265204
There are different methods of discretizing integrable systems. We consider semi-discrete analog of two-dimensional Toda lattices associated to the Cartan matrices of simple Lie algebras that was proposed by Habibullin in 2011. This discretization is based on the notion of Darboux integrability. Generalized Toda lattices are known to be Darboux integrable in the continuous case ...
Added: September 11, 2026
JOURNAL OF INTERDISCIPLINARY STUDIES IN EDUCATION 2026 Vol. 15 No. 7
Soyut
Bu makale, Rusça eğitim veren yükseköğretim kurumlarında öğrenim gören Türk öğrencilerin akademik yeterliliklerinin tanınması ve yanlış tanınmasını nasıl deneyimlediklerini incelemektedir. 15 görüşmenin ikincil nitel analizine dayanarak, dilsel performansın sınıf içi katılım ve sözlü değerlendirmede güvenilirlik yargılarını nasıl şekillendirdiğini açıklamak için dilsel olarak aracılık edilen tanıklık adaletsizliği kavramını geliştirmektedir. Üçbiriyle ilişkili dinamik ortaya çıkmıştır: değerlendirmede epistemik ...
Added: September 11, 2026
Enatskaya N., Труды Карельского научного центра РАН. Серия 10: Математическое моделирование и информационные технологии 2026 № 6 С. 132–138
In schemes S for placing r particles in n distinguishable cells, their placement in selected m cells – schemes S∗ is studied, for which the analysis is carried out by a new enumerative method (EM) in extended areas of enumerative combinatorics: finding the number of outcomes and, based on the construction of a model of ...
Added: September 11, 2026
Enatskaya N., Труды Карельского научного центра РАН. Серия 10: Математическое моделирование и информационные технологии 2026 № 6 С. 139–147
The class of particle cell arrangements under consideration is characterized by the introduction of an upper limit on the filling levels of the cells, which must be achieved in at least one cell of each outcome of each arrangement. The circuits are distinguished by the paired qualities of their constituent elements (cells and particles) according ...
Added: September 11, 2026
Tikhomirova A., Chowdhury M. A., Мир России: Социология, этнология 2026 Vol. 35 No. 4 P. 98–117
Cooperation between Russia and China in the field of education has expanded significantly.
In 2026, the number of Russian students studying in China reached 21,000. However, empirical
evidence shows that students face many difficulties adapting to the new environment. Given
the growing popularity of Chinese universities among Russian students, the present study
aimed to identify the factors and mechanisms ...
Added: September 11, 2026
Koval A., Gorbunova A., Podolsky A. I. et al., Psychology in Russia: State of the Art 2026 Vol. 19 No. 3 P. 89–105
Background. Self-monitoring is critical for online learning, yet many students struggle due to cognitive load. Students with higher self-monitoring skills man- age this demand better, but which load types they handle effectively remains unknown. Metacognitive prompts are a common support tool, but it is unclear whether they amplify or compensate for skill differences.
Objective. To examine ...
Added: September 10, 2026
Podinovskiy V. V., Нелюбин А. П., Автоматика и телемеханика 2026 № 8 С. 110–123
Для многокритериальных задач принятия решений по аналогии с качественной вероятностью введены понятия полной и частичной качественной важности как бинарных отношений, обладающих постулируемыми
свойствами. Предложено новое определение отношения нестрогого предпочтения на множестве вариантов решений, порождаемое качественной
важностью. Исследованы его свойства. Указаны аналитические правила,
позволяющие попарно сравнивать варианты по предпочтительности. Проведено сравнение новых отношений предпочтения с разработанными ранее для задач, ...
Added: September 9, 2026
Podinovskiy V. V., Нелюбин А. П., Автоматика и телемеханика 2026 № 7 С. 113–126
Рассматриваются задачи принятия решений, когда предпочтения оцениваются в порядковой шкале, а возможности реализации значений
неопределенного фактора описываются качественной вероятностью (полной или только частичной). Вводятся определения отношений предпочтения и безразличий на множестве стратегий. Предлагаются простые
решающие правила, позволяющие сравнивать стратегии по предпочтительности, и приводятся иллюстративные примеры. ...
Added: September 9, 2026
Зиновьева С. А., Педагогические измерения 2026 № 2 С. 82–89
The article analyzes the methodology for assessing written assignments that require an extended response; the approach is used at the Anhalt University of Applied Sciences in Germany, where the author worked from 2016 to 2025 as a teacher of German as a foreign language and an expert. The methodology is applied as part of midterm ...
Added: September 9, 2026
Chemical Papers 2026
Benzenoid hydrocarbons are structurally regular aromatic compounds, which makes them well suited for quantitative structure–property relationship (QSPR) studies. This study presents a QSPR analysis of nineteen benzenoid hydrocarbon species using degree-based topological co-indices. We developed a Python program to compute eleven degree-based topological co-indices from molecular graphs and evaluated their ability to explain variations in ...
Added: September 8, 2026
Ребрейкина А. Б., Liaukovich K., Современная зарубежная психология 2024 Т. 13 № 2 С. 33–43
Создание методик диагностики на основе анализа движений глаз является особенно актуальным для оценки когнитивных функций у детей, которые не могут дать речевой или моторный ответ в силу своего возраста или из-за нарушений развития. Для таких детей использование объективных методов оценки когнитивных функций на основе айтрекинга может стать полезным диагностическим инструментом, дополняющим традиционные поведенческие опросники и ...
Added: September 8, 2026
Gurina D., Fashchevsky K. A., Oparin R. D. et al., Surfaces and Interfaces 2026 Vol. 98 Article 110545
In this work, we combine experimental characterization and molecular dynamics (MD) simulations to elucidate the molecular mechanisms governing the impregnation of mefenamic acid (MFA) into nanocrystalline cellulose (NCC) aerogels. NCC aerogels were impregnated with MFA in scCO2, and low-temperature nitrogen adsorption revealed a concentration-dependent decrease in surface area, pore volume, and pore size, with an ...
Added: September 8, 2026
Glutsyuk A., / Series arXiv "math". 2026.
B.Josephson (Nobel Prize, 1973) predicted a tunnelling effect for a system of two superconductors separated by a narrow dielectric (such a system is called Josephson junction): existence of a supercurrent through it and equations governing it. The overdamped Josephson junction is modeled by the family of differential equations on the 2-torus, dθdτ=1ω(cosθ+B+Acosτ), which is known as ...
Added: September 8, 2026
Glutsyuk A., / Series arXiv "math". 2026.
A planar dual billiard is a planar curve γ equipped with a family (σP)|P∈γ of projective involutions of the projective lines LP tangent to γ at P that fix P. A dual billiard is called rationally integrable, if there exists a rational function R(x,y) of two variables (called first integral) whose restriction to each tangent ...
Added: September 8, 2026
Alexandrov A., Glutsyuk A., Journal of Differential Equations 2026 Vol. 465 Article 114178
The overdamped Josephson junction in superconductivity theory can be modeled by the family of dynamical systems on the torus, which is known as the RSJ model. This family admits an equivalent description by a family of second-order differential equations: special double confluent Heun equations. In the present paper, we construct two new families of dynamical systems on ...
Added: September 8, 2026
Glutsyuk A., Inventiones Mathematicae 2026 Vol. 245 P. 977–1058
A caustic of a strictly convex planar bounded billiard is a smooth curve whose tangent lines are reflected from the billiard boundary to its tangent lines. The famous Birkhoff Conjecture, studied by many mathematicians, states that if the billiard boundary has an inner neighborhood foliated by closed caustics, then it is an ellipse. In the paper we study ...
Added: September 8, 2026
Ермоленко Г. А., Ахмадуллин В. А., Базилико Э. А. et al., М.: Издательско-торговая корпорация «Дашков и Ко», 2026.
The monograph is devoted to reconstructing the uniqueness of Russia’s historical path — its culture, social system, and religious, philosophical, and political thought. Based on a synthesis of various sciences and approaches, the authors summarize and comprehensively demonstrate the distinctiveness of Russian traditions.
The uniqueness of Russia is revealed through a vast body of factual material as a ...
Added: September 8, 2026
Yu E. C., Lui A., Andrade H. et al., Educational Assessment 2026 P. 1–26
Feedback often promotes student learning. Research has focused on delivering high-quality feedback, yet too little is known about how students respond to feedback, and whether and why it serves its intended purposes. This study is an investigation of how college students responded to feedback on their self-regulated learning (SRL). After taking an online assessment of ...
Added: September 8, 2026
Prikhodko Artem, Kubrak D., Compositio Mathematica 2026 Vol. 162 No. 6 P. 1377–1438
In this follow-up paper we show that smooth Hodge-proper stacks over O𝐾 are ℚ𝑝-locally acyclic: namely the natural map between étale ℚ𝑝-cohomology of the algebraic and Raynaud generic fibers is an equivalence. This establishes the ℚ𝑝-case of general conjectures made in D. Kubrak and A. Prikhodko [p-adic Hodge theory for Artin stacks, Mem. Amer. Math. ...
Added: September 7, 2026
Huang D., Chen Y., Luo X. et al., Chinese Journal of Physics 2026 Vol. 103 P. 1803–1814
Using self-consistent Bogoliubov-de Gennes calculations for kagome flakes framed by armchair
and flat edges, we observe a configuration-dependent spatial inhomogeneity of an 𝑠-wave superconducting
condensate. Specifically, at half-filling, the local pair potential is significantly enhanced
by up to 77.8% at edge centers and up to 148.9% at corners, subsequently boosting their
local critical temperatures by up to 13.5% and ...
Added: September 7, 2026
Semenov A., Поликарпов С. А., Рудченко Т. А., Մաթեմատիկան դպրոցում/ Математика в школе 2022 № 1 (114) С. 10–15
Завтра человечество будет не менее цифровым, чем сегодня. Школа сохранится, только если ей удастся преодолеть цифровую пропасть между ней и окружающим миром. В результате применения цифровых технологий мы будем достигать всех тех результатов, которых достигаем сегодня. Конечно, все эти результаты будут демонстрировать именно учащиеся, имеющие в своем распоряжении цифровые технологии, например, систему компьютерной алгебры. ...
Added: March 14, 2023
Константинов Н. Н., Semenov A., Чебышевский сборник 2021 Т. 22 № 1(77) С. 413–446
The article examines the reasons why mathematical schools (mathschools) have become an important and very productive phenomenon in Russian education in recent decades. A brief description of the modern model of productive education traced back to the established tradition of teaching in mathschools, which can lead to the construction of a reproducible model of productive ...
Added: March 10, 2023