Eurasian Journal of Mathematical Theory and Computer Sciences

This article covers the use of interactive applications by higher education teachers during lessons, their ability to fully convey the topic to students, and their use of interactive methods. Students also extract information that is important for solving the given problem on the topic. It is also analyzed that management disciplines are undoubtedly taught as a holistic and complete set of authoritative and consistent knowledge.

This article analyzes the theory of complex functions and their role in conformal mapping processes in physics. The fundamental properties of conformal mappings are discussed, highlighting the ability to transform complex-shaped physical domains into simpler geometric forms. The Joukowski transformation is analyzed based on graphical representation, emphasizing its practical significance in fields such as aerodynamics and electrostatics. Through table and graphical analyses, the importance of conformal mappings in modeling physical processes is revealed.

This article explores the pedagogical foundations of teaching information technology in primary education, considering the psychological and developmental characteristics of young learners. It highlights the role of IT in developing learning motivation and cognitive activity. Special focus is given to pedagogical principles, methods, and the organization of lessons in accordance with national educational standards. Practical aspects of digital learning are analyzed, along with recommendations for primary school teachers.

The article examines the key psychological and pedagogical aspects of the introduction of digital technologies into speech therapy activities. It analyzes the transformation of the interaction between a speech therapist and a student in the context of digitalization of education, the peculiarities of the perception of the digital environment by children with speech disorders, as well as the requirements for the professional training of specialists. The risks and prospects of digitalization of speech therapy practice from the standpoint of modern pedagogical science are reflected.

The article examines the history of the emergence and stages of development of TIPS (Theory of Inventive Problem Solving), founded by Genrikh Saulovich Altshuller in the middle of the 20th century. The key principles and methods of TIPS, its evolution from a practical methodology to a full-fledged scientific discipline are analyzed. Particular attention is paid to the role of TIPS in the modern system of innovative thinking, as well as its application in various branches of science, technology and education.

The article examines the theoretical foundations and practical application of matrices in economic models. It considers the main operations with matrices, their role in solving systems of linear equations and constructing models of inter-industry balance. Particular attention is paid to the Leontief model and its significance in macroeconomic analysis. Examples of the application of matrices in the management of production and financial flows are given.