Keyword: «educational technologies»

The relevance of the research stems from the increasing demand for skilled entrepreneurial talent in the knowledge economy and the ineffectiveness of existing educational programs in meeting this need. In the context of the ongoing transformation of economic systems worldwide, entrepreneurial education has become increasingly important for sustainable development. Current research is characterized by fragmented approaches and lack of unified understanding of entrepreneurial competences structure. The aim of the article is to provide theoretical justification for the system of entrepreneurial competences development in the educational process based on integration of modern pedagogical approaches and entrepreneurial practice. Research methodology includes systemic, activity-based, competency-based, and culturological approaches. The methodological foundation comprises general scientific methods of analysis, synthesis, comparison, as well as special methods of content analysis, conceptual modeling, and structural-functional analysis. The main results include: development of an integrated model of entrepreneurial competences incorporating cognitive, functional, personal, and social blocks; creation of a multi-level competence development model (basic, advanced, expert levels); substantiation of pedagogical principles system (practice-orientation, problem-based learning, individualization); development of a methodological system integrating interactive teaching methods, project-based technologies, and experiential learning. Theoretical significance lies in systematization of entrepreneurial education concepts, development of a comprehensive conceptual model of competency development, and substantiation of methodological foundations for educational process organization. Practical significance is determined by the possibility of using the results to improve educational programs, develop new pedagogical technologies, and enhance the effectiveness of entrepreneurial personnel training in higher and continuing professional education systems. Scientific novelty consists in theoretical substantiation of an integrated approach to entrepreneurial competences development, combining various methodological approaches and considering the specificity of entrepreneurial activity as a complex socio-economic phenomenon.

This study examines the possibility of using neural networks to improve the learning process in mathematics. Through a thorough analysis of the basic logical definition and development of neural networks, readers will be able to gain a complete understanding of their application in the educational field. This work is intended for a wide audience interested in modern technologies in the field of education. It is important to note that the possible negative impact of artificial intelligence on the development of education is not considered in this study.

The relevance of this research stems from the increasing role of human capital as a key factor in economic development amid digital transformation, coupled with the intensive implementation of pedagogical innovations despite inadequate understanding of their actual economic efficiency. A fundamental contradiction exists between the scale of global investments in education and the limited clarity regarding the mechanisms by which these investments translate into measurable socioeconomic outcomes. The absence of an integrative theoretical model impedes evidence-based decision-making in educational policy. The aim of the study is the theoretical analysis and conceptualization of the relationship between human capital investments and the effectiveness of pedagogical innovations within the context of the modern economics of education. The methodological basis is a systemic and interdisciplinary approach, integrating neoclassical human capital theory, institutional economics, and contemporary pedagogical concepts. The primary method is a systematic review of domestic and international literature for the period 2020–2025, supplemented by comparative analysis, critical analysis, and theoretical modeling. The main results include: the systematization of contemporary approaches to evaluating investments and innovation effectiveness; the identification of critical research gaps; the development of a typology of pedagogical innovations based on economic characteristics; and the formulation of an integrative theoretical model that reflects the nonlinear relationships among investments, innovations, mediating factors, and educational outcomes. The theoretical significance of the work lies in its contribution to the development of the economics of education through the conceptualization of the mechanisms for transforming investments into qualitative changes in human capital via pedagogical innovations. The practical significance lies in the applicability of the developed model for justifying investment decisions at the level of public educational policy and educational organization management, as well as for designing evidence-based programs for implementing pedagogical innovations. The scientific novelty of the research consists in the theoretical substantiation of the link between human capital investment and the effectiveness of pedagogical innovations based on an interdisciplinary synthesis of economic theory and pedagogical science. It marks the first attempt at a comprehensive systematization of the criteria for evaluating the effectiveness of pedagogical innovations within the framework of human capital theory.

The relevance of the study is due to the need to reflect on modern approaches to education under the influence of technological progress. In this regard, a technological approach to teaching students at a university is of particular importance. The aim of the study is to develop a technology for teaching in an electronic university environment based on self-education (using mathematics as an example). The methodological framework of the study is based on a systematic approach and comparative methods, which are used to analyze the works of Russian and foreign authors on the issues of pedagogical and information technologies in education. Special attention is given to the study of modern pedagogical and information technologies. Pedagogical technology is understood as the teacher's activity aimed at ensuring the achievement of guaranteed educational results and is considered in the context of communication between learning subjects. It is shown that the consistency of interactions between teachers and students can be regulated through the technology of learning contracts, which includes an individual student achievement sheet for evaluating students' self-educational activities. The pedagogical technologies used in the electronic information and educational environment of the university, as part of an electronic training course on a discipline, allow us to talk about the possibility of integrating pedagogical and information technologies, which leads to the technologicalization of the educational process. To organize and develop students' self-educational activities, a model of a self-educational module integrated into an electronic training course has been developed, which provides a flexible organization of the educational process. The authors have proposed a method of teaching students based on the integration of educational technologies, which has been implemented in the teaching of mathematics to engineering students at the Siberian Federal University. The theoretical significance of the study lies in the fact that, as a result of searching for a solution to the problem, the organization of students' self-educational activities within the framework of blended learning, taking into account the experience of various studies in this area, a pedagogical technology of a learning contract was proposed and developed. Its main idea is the introduction of formal agreements between a teacher and a student in the process of studying a discipline, the implementation of which is ensured by the responsibility of the parties and will lead to positive learning outcomes. The practical significance lies in the development of an electronic training course and an individual achievement sheet as an appendix to the learning contract, as well as methodological recommendations for teachers. The research results can be used by teachers of various disciplines to create teaching methods.

This study focuses on the analysis of the use of digital media in the German education system. It examines the modern methods and technologies used by German educators to enhance student motivation and improve the quality of learning. The article provides practical examples of the implementation of multimedia resources, online platforms, and mobile applications that promote the development of communicative skills within the framework of a plurilingual educational paradigm, taking into account the principles of neurodidactics. This article is intended for educators, methodologists, and researchers interested in current trends in foreign language teaching.