О продолжении российского математического образования в XXI веке

We provide an infinite series of commutative finite-dimensional Gorenstein local algebras A_n for n ≥ 2. We give an elementary proof that the maximal ideal of every algebra A_n possesses a one-dimensional subspace that is different from the socle and invariant under the automorphism group of A_n. The latter implies that the algebras A_n fail ...

Added: October 17, 2026

Turbulent Exchange Tensor in the Atmospheric Boundary Layer: An Inverse-Problem Approach Using Radiosonde Wind Observations with High Vertical Resolution

Gordin V. A., Efremenko D., Boundary-Layer Meteorology 2026 Vol. 192 No. 51

An inverse problem of reconstructing the turbulent exchange tensor from large archives of observed wind profiles within the Åkerblom–Ekman (A-E) model framework is investigated using high-vertical-resolution radiosonde observations. The reconstructed tensor provides improved agreement between modeled and observed wind profiles compared to classical formulations based on real turbulent exchange coefficient. Instead of the classical A-E ...

Added: October 16, 2026

Diversity of chaos with additional zero Lyapunov exponents in heterogeneous ensemble of quasi-periodic and chaotic systems

Kuznetsov A. P., Sedova Y. V., Stankevich N., Chaos, Solitons and Fractals 2026 Vol. 213 No. 12 Article 119309

We analyze the interaction of a quasi-periodic subsystem, in which two-, three-, and four- frequency quasi-periodic oscillations are possible, with a chaotic subsystem. A discrete version is obtained via the Euler scheme from the corresponding flow model. The dynamics of individual subsystems are discussed, including quasi-periodic bifurcations of invariant tori and the occur rence of ...

Added: October 16, 2026

Наследие реформатора. Анатолий Пинский и профильное обучение в российских школах

Kasprzhak A. G., Образовательная политика 2026 Т. 26 № 3 С. 98–102

Статья посвящена вкладу педагога Анатолия Пинского в реформу российского образования начала 2000-х годов. Автор анализирует, как результаты исследования PISA-2000 и «Концепция модернизации до 2010 года» привели к запуску федерального эксперимента по профильному обучению (2003–2007). В тексте раскрываются ключевые механизмы реформы - внедрение индивидуальных учебных планов, разделение профильного и углубленного обучения, создание опорных школ. Показано, как ...

Added: October 15, 2026

A Reproducible Microscopy Acquisition Pipeline and Microscopy-Aware Attention for Classification, Detection, and Segmentation of Microorganisms

Aleksei Samarin, Nazarenko A., Nazarenko D. et al., Machine Learning and Knowledge Extraction 2026 Vol. 8 No. 10 Article 330

Automated microscopic image analysis is essential for quantitative microbiology, yet manual acquisition and generic recognition models struggle with morphological variability and scene artifacts. We address both ends of this pipeline. First, we present a low-cost, open-source acquisition system, based on an Arduino UNO R3 microcontroller and NEMA 17 stepper motors, that automates focusing, magnification, and ...

Added: October 14, 2026

On Calculation of Robustness and Stability of Formal Concepts Based on Delta Measure

Parkhomenko V., Kulikova S., Buzmakov A. V., Lobachevskii Journal of Mathematics 2026 Vol. 47 No. 6 P. 2979–2992

The stability of formal concepts and its generalization as robustness are considered in the paper. We use an approximation of stability in the form of Δ-measure for fast calculations. A computationally efficient method for calculating robustness based on subcontexts is presented. We also present a new method to analytically evaluate the number of preimages for ...

Added: October 14, 2026

Shrimps as a fundamental object of nonlinear dynamics. Overview, properties and quasi-periodic generalization

Kuznetsov A. P., Sedova Y. V., Sataev I. R. et al., Mathematics and Computers in Simulation 2027 Vol. 2 P. 574–592

Universal bifurcation structures on the parameter plane of nonlinear systems, known as shrimps, are discussed. An overview of numerous examples from various fields of science is given. Shrimps are typical for both maps of different dimensions and flows. The varieties of shrimp are discussed and relevant examples are given. The similarity property on the parameter ...

Added: October 14, 2026

Руководство для преподавателей английского языка по адаптации учебных материалов для студентов с ОВЗ по зрению: метод. пособие / Н.В. Гридина, А.П. Варкан, Н.А. Мишустина, Л.Ю. Рокотянская, Ю.М. Чантуридзе. – М.: Изд. Дом Высшей школы экономики, 2026.- 52 с.

Rokotyanskaya L. Y., Gridina N. V., Varkan A. et al., Изд. Дом Высшей школы экономики, 2026.

This methodological guide is based on a systematic approach, combining theoretical foundations with practical guidelines for organizing the educational process in inclusive settings. The manual consists of five sections, structured logically from general to specific. The first section includes general recommendations that take into account the specific ways blind and visually impaired students perceive learning materials. The ...

Added: October 13, 2026

Poincaré series of valuations on functions over a subfield of complex numbers

Gusein-Zade S., Campillo A., Delgado F., Mathematische Zeitschrift 2026 Vol. 314 No. 1 P. 1–22

For a subfield $\K$ of the field $\C$ of complex numbers, we consider curve and divisorial valuations on the algebra $\K[[x,y]]$ of formal power series in two variables with the coefficients in $\K$. We compute the semigroup Poincar\'e series and the classical Poincar\'e series of a (discrete, rank one) valuation on it. ...

Added: October 13, 2026

Losing time for oneself? Tutoring, organised activities, and self-directed leisure as predictors of psychological well-being and academic achievement in Russian adolescents

Ivanov I., Ostapenko E., World Leisure Journal 2026 P. 1–21

Adolescents’ leisure is increasingly compressed by tutoring and organized classes, raising concerns about time for self-directed recovery and agency. This study examines how structured and unstructured time relate to psychological well-being and academic achievement, and whether well-being helps explain time-achievement links. Using a 2024 school-based survey of 2,944 Russian students in grades 5–8, we measured ...

Added: October 13, 2026

Wave scattering by a sloping beach of an arbitrary angle. Revisited: regular solution

Mishuris G., Meylan M. H., Pelinovsky E., Journal of Fluid Mechanics 2026 Vol. 1045 Article A4

In this paper, we revisit the classic problem of a wave field on a sloping beach of an arbitrary angle and propose a general approach that allows the computation of regular solutions of the problem regardless of the angle. We use the Mellin-transform technique, reducing the problem to singular integral equations with fixed-point singularities of ...

Added: October 12, 2026

Teacher expectations and mathematics growth in primary school: a multilevel moderation analysis

Yusupova E., Ogundele K. S., Durodola F. A., Social Psychology of Education 2026 No. 29 Article 127

This study examines the association between teacher expectations and mathematics growth among first-grade students in Russia. The sample included 1,155 students and 48 teachers from public schools in two Siberian regions. Students’ mathematics performance was assessed using START, with vertical test alignment used to measure individual growth. Multilevel regression models estimated on 20 multiply imputed ...

Added: October 12, 2026

Дифференциальная геометрия и топология. Курс лекций

Gusein-Zade S., М.: МЦНМО, 2026.

Книга содержит курс лекций по дифференциальной геометрии и топологии, читавшихся автором на механико-математическом факультете МГУ в разные годы. В дополнениях приводятся некоторые сюжеты (связности в расслоениях, теорема Фробениуса, производные Ли и др.), которые были включены в курс в отдельные годы либо содержались в аналогичных курсах лекций в Независимом московском университете. Для студентов математических и физических специальностей. ...

Added: October 12, 2026

О воспроизводимости анализа временных рядов на основе матричных профилей

Брычков М. Е., Незнанов А.А., Программирование 2026 № 4 С. 50–66

The matrix profile (MP) quickly became one of the most important time series preprocessing methods when it was introduced in 2016, facilitating the solution of a wide range of time series analysis problems, in particular anomaly and pattern detection problems. The high significance has led to the emergence of various tools for MP calculating, but ...

Added: October 9, 2026

Теория вероятностей и математическая статистика. Олимпиадные задачи

М.: Юрайт, 2026.

The Collection of Olympiad Problems (COP) in Probability Theory and Mathematical Statistics (PTMS) is offered as a teaching aid primarily for university students and faculty as a developmental supplementary resource, expanding the range of problems to be solved in lectures, seminars, and out-of-class independent work with students in various formats, including (as the title suggests) ...

Added: October 9, 2026

Человеко-машинная система анализа и улучшения качества условий проживания населения

Aleskerov F. T., Вайншток А. П., Делахова А. М. et al., Информационные процессы 2026 Т. 26 № 3 С. 895–913

The development and effective management of territorial entities are priority issues for all states, particularly in the context of the digital transformation of public administration. Over the past decade, the integration of information technologies into municipal and regional planning has significantly altered approaches to strategic development, service delivery, and public engagement. This paper describes the ...

Added: October 9, 2026

Linear dependencies, polynomial factors in the Duke–Erdős forbidden sunflower problem

Kupavskii A., Noskov F., Forum of Mathematics, Sigma 2026 Vol. 14 Article 124

We call a family of $s$ sets $\{F_1, \ldots, F_s\}$ a sunflower with $s$ petals if, for any distinct $i, j \in [s]$, one has $F_i \cap F_j = \cap_{u = 1}^s F_u$. The set $C = \cap_{u = 1}^s F_u$ is called the {\it core} of the sunflower. It is a classical result of ...

Added: October 8, 2026

Generative AI and the balance of effort in group tasks: Appropriate, over-, and under-scaffolding

Korchak A., Hughes C., Costley J., Journal of Research on Technology in Education 2026 P. 1–17

Generative artificial intelligence (Gen-AI) is increasingly used in higher education, yet its role in collaborative learning remains unclear. This study examines how students use Gen-AI during group lesson-planning tasks in an undergraduate education course. Drawing on Vygotsky’s sociocultural theory, we introduce the concept of “an effort space” and apply the categories of appropriate, over-, and ...

Added: October 8, 2026

Потенциал физического воспитания как инструмента формирования метапредметных компетенций и целостно развитой личности

Selskiy A., Физическое воспитание и студенческий спорт 2024 Т. 3 № 3 С. 227–231

Physical education and the corresponding subject in educational programs are traditionally considered as the tools for mastering skills directly related to sport and its certain disciplines. Meanwhile, within the competency-based education approach, physical education can be understood in a much wider context, as a source of development of soft skills and even cognitive abilities. This ...

Added: June 23, 2026

Key Competences and New Literacies: From Slogans to School Reality

Springer, 2023.

This edited book is a unique comprehensive discussion of 21st century skills in education in a comparative perspective. It presents investigation on how eight very different countries (China, Canada, England, Finland, Poland, South Korea, the USA and Russia) have attempted to integrate key competences and new literacies into their curricula and balance them with the acquisition ...

Added: August 23, 2023

Читательская грамотность как образовательный результат основного общего образования

Lytaeva M. A., Пестрикова Е. А., Маршакова О. М., Мир психологии. Научно-методический журнал 2023 Т. 112 № 1 С. 143–155

The aim of this study is to determine the representation of groups of reading skills in the Federal State Educational Standards 2010 and 2021 and Universal Codifiers for 9th grade within all academic subjects. The main research method in this work is content analysis and comparison of reading literacy skills (RL) according to PISA, the ...

Added: May 7, 2023

Результативное образование в математической школе

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

Подходы к разработке вариантов заданий сценарного типа в рамках метода доказательной аргументации

Gracheva D., Tarasova K., Отечественная и зарубежная педагогика 2022 Т. 1 № 3 С. 83–97

В статье рассматриваются подходы к созданию заданий сценарного типа, разработанных в логике доказательной аргументации (Evidence-Centered Design (ECD)), которые предлагают цифровую тестовую среду для оценки критического мышления. Создание нескольких вариантов таких заданий является трудоемким процессом. Одно из решений этой проблемы предполагает определение подходов разработки, которые позволят упростить процесс создания вариантов. Цель статьи — описать и сравнить подходы ...

Added: May 31, 2022