Altai State Pedagogical University

One of the key factors determining the quality of inclusive education is the continuous professional development of teaching staff who work with students with disabilities and special educational needs. Based on an analysis of current legislation, the article offers practical recommendations for heads of educational institutions on creating conditions for the further development of teachers’ professional competencies in inclusive education.

In this paper, the finite element method is used to study two-dimensional polymer melt flows in channels with a rectangular cross-section and a sudden contraction. The mathematical model is based on the Vinogradov-Pokrovsky rheological equation. Particular attention is paid to the effect of polymer melt temperature on the size of the recirculation zone formed upstream of the channel contraction. It is shown that a sudden contraction leads to the formation of a vortex flow region whose size increases with increasing melt temperature, in agreement with experimental observations. The dynamics of the vortex region variation in size is also investigated as a function of flow characteristics. It is found that, up to a certain critical value, an increase in the volumetric flow rate promotes faster attenuation of the vortex region. Thus, the corresponding temperature-dependence curves are located below. Beyond this point, the size of the vortex region continues to decrease; however, the rate of its reduction becomes lower as the flow rate increases. As a result, the corresponding temperature-dependence curves are shifted upward. In all cases considered, good agreement is observed between the numerical predictions and the experimental data. The obtained results show that the modified Vinogradov-Pokrovsky rheological model provides an adequate description of polymer melt flows in complex geometries. They also confirm the effectiveness of finite-element-based computational methods for simulating non-stationary two-dimensional flows of nonlinear viscoelastic media governed by a differential rheological equation.

Introduction. This article analyzes the interactions between key institutions of spiritual and moral education – the family, school, culture, and public organizations in the context of digital transformation. The relevance of this work stems from a contradiction: despite the obvious need to consolidate educational efforts, actual connections between these entities remain weak, and traditional forms of cooperation are insufficiently adapted to the communicative practices of a digital society. The goal of the study is to identify systemic problems in this interaction and outline prospects for developing new, more effective models. The objectives include identifying problem areas in communication between entities involved in spiritual and moral education at different levels of education, analyzing the potential of digital tools for organizing meaningful dialogue, and developing principles for creating a holistic educational environment. Results. Demonstrate that overcoming the disunity among entities involved in spiritual and moral education is possible through a transition from isolated activities to the design of a networked ecosystem. Conclusion. The article characterizes the main problem areas in spiritual and moral education, presents an overview of promising digital solutions, and provides principles for interaction between its entities in the digital age.

The article explores how the semiotics of dreams increases the communicative potential and cre-ates a full-fledged dialogue between the cultures of humans and fantastic creatures. After reaching a communicative agreement, the novel changes its usual “formulaic” structure and approaches high literature.

This article examines the emergence of field-based research in local and regional history at the Barnaul State Pedagogical Institute, beginning with the first expedition organized by A. D. Sergeyev in 1976. Drawing on an analysis of the field diaries of Aleksei Dmitrievich Sergeev preserved in the State Archive of Altai Krai, the study reconstructs the chronology of the expeditionary work carried out by him as a faculty member and his students throughout his tenure at the institute (1974-1990). The article also examines issues related to the organization of the expeditions, the objects of study, the research methods employed, and the principal results obtained.