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Applications of Otelbaev's Abstract Theorem to singular ODES
(SDU University, 2026) Zhumabayeva A.
This research focuses on analyzing well-posedness of a singular hyperbolic equation with time-varying coefficients, defined on a multidimensional cylindrical domain. Using the spectral decomposition method, the original problem was reduced to a family of one-dimensional singular differential equations. Furthermore, a comprehensive matrix representation of all regular regular boundary conditions is derived through the M. Otelbaev’s abstract theorem and the Riesz theorem. Finally, the existence and uniqueness of the solution for the original two-dimensional equation is established in the within weighted Sobolev space.
Using innovative educational technologies to enhance the learning motivation of school students
(SDU University, 2026) Sarbagys A.
This study examines the use of innovative educational technologies in the teaching process in schools with the aim of increasing student motivation. The study clearly shows the importance of integrating modern digital technologies into chemistry teaching in schools and emphasizes the role of chemistry teachers who are interested in engaging students and improving the quality of teaching by using various digital tools. In addition, there is currently much discussion about the impact of augmented reality (AR) and virtual reality, such as chat bots, artificial intelligence and blended learning models, on increasing motivation and academic performance during learning. The extent to which innovative teaching methods have changed the approach to teaching and positively influenced the quality of education is analyzed, as well as how they help to develop many skills, internal and external motivation, and achieve results at school. Innovative technologies are already being used, such as interactive whiteboards and virtual technologies. There is widespread discussion about how effectively computer technologies, games and multimedia programs can be used in chemistry lessons. The main problems associated with the development of intellectual and motivational processes during technologically advanced educational models are identified. The results of research and demonstrations also show that the use of innovative technologies has helped to increase motivation in chemistry lessons and consolidate this knowledge for a long time, as well as contributing to the development of active and competitive students.
The Role of Digital Competencies of Managers in Ensuring the Competitive Advantage of Business in the Republic of Kazakhstan (Focus on digitalization, intellectual potential, entrepreneurship)
(SDU University, 2026) Sagyn Zh.
The accelerating digital transformation of healthcare requires managerial leaders who can effectively integrate technology into strategic and operational decisionmaking. This study investigates the role of digital competencies of healthcare managers in fostering competitive advantage within the healthcare sector of the Republic of Kazakhstan. Drawing on dynamic capabilities theory, human capital theory, and resource-based view, the research positions managerial digital competencies as a key enabler of perceived competitive advantage. A quantitative survey design was employed, collecting data from 140 healthcare managers across hospitals and clinics in Kazakhstan using a four-block, 34-item Likertscale instrument. Block 1 assessed general digital competencies, Block 2 covered the application of digital tools in work, Block 3 captured perceived impact on managerial effectiveness, and Block 4 examined organisational opportunities for digital skill application. Blocks 1–2 operationalised the independent variable (DC: digital competency composite) and Blocks 3–4 the dependent variable (CA: perceived competitive advantage composite). Statistical analyses included descriptive statistics, reliability analysis (Cronbach's alpha), Spearman's rank correlation, and simple linear regression. All scales demonstrated excellent internal consistency (α = 0.879–0.945). The DC–CA correlation was moderate (ρ = 0.490, p < .001), and the regression model was statistically significant (β = 0.551, R² = .307, p < .001), explaining 30.7% of the variance in perceived competitive advantage. The findings support H1: managerial digital competencies are positively and significantly associated with perceived competitive advantage in Kazakhstan's healthcare organisations. The study highlights digital tool application (Block 2, M = 3.17) and organisational enabling conditions (Block 4, M = 3.21) as priority areas for investment. Limitations include convenience sampling, cross-sectional design, common method bias risk, and reliance on perceived rather than objective competitive advantage measures. vii This research fills a contextual gap by delivering empirical insights from a Central Asian healthcare system undergoing digital transformation and provides a validated measurement instrument for future research.
Motivational And Decision-Making Factors Influencing The Choice Of Physics As A Major Among Students In Kazakhstan
(SDU University, 2026) Sabitova A.
This study examines motivational factors influencing the choice of physics as a major among Kazakhstani university students. A 24-item questionnaire adapted from Meli et al. (2018) was administered to 216 students, measuring three domains: schoolbased influences, informal learning experiences, and career motivation. Confirmatory factor analysis confirmed a robust three-factor structure (CFI = 0.948, RMSEA = 0.062). Results indicated that academic performance and inspiring teachers are the primary drivers, while family role models play a significant role among female and fourth-year students. The study provides Kazakhstan-specific empirical data and offers actionable recommendations for curriculum policy and teacher training.
Peer Teaching in ELT: pre-service teachers' perception
(SDU University, 2026) Rsymbet B.
This study explores pre-service English language teachers' perceptions and experiences of peer teaching within an English Language Teaching (ELT) teacher education context in Kazakhstan. The study addresses the limited empirical attention given to peer teaching in post-Soviet and Kazakhstani teacher education, where collaborative and studentcentered approaches are still developing alongside traditional instructional practices. The purpose of the research is to examine how peer teaching contributes to pre-service teachers' professional development and what challenges they encounter. The study employed a qualitative case study design supported by descriptive questionnaire analysis. Data were collected through a structured questionnaire consisting of Likert-scale items, a multiple-choice item, and open-ended questions, as well as semistructured interviews. The questionnaire involved 26 senior undergraduate pre-service English language teachers, while six participants took part in individual interviews. Quantitative data were analyzed descriptively through percentages, and qualitative data were examined through thematic analysis. The findings show that participants generally perceived peer teaching as a meaningful component of ELT teacher preparation. Peer teaching supported the development of teaching skills, classroom management awareness, instructional strategies, reflective practice, and initial classroom preparedness. However, participants also reported persistent anxiety, low peer engagement, limited teaching time, and the artificiality of simulated classroom settings, suggesting that peer teaching is beneficial but incomplete as a form of professional preparation. The study concludes that peer teaching can effectively support pre-service teachers' professional growth when carefully structured, repeatedly implemented, and supported by constructive feedback. Its effectiveness may be strengthened through longer sessions, more realistic simulations, and systematic feedback from both peers and instructors.