On 18 February 2025, Maryna Puzyr, a teacher of the Department of Management, Social Sciences, Humanities and Fundamental Disciplines, with the participation of Olena Kobylska, Doctor of Technical Sciences, Professor of the Department of Informatics and Higher Mathematics of Kremenchuk Mykhailo Ostrohradskyi National University, conducted a binary practical lesson in the discipline ‘Some Sections of Higher Mathematics’ on the topic: ‘Ordinary Differential Equations. General and Partial Differential Equation Solution' for first-year students of the first (bachelor's) level, speciality 173 “Avionics”, educational and professional programme “Electromechanics”.

Maryna Serhiivna began the class by announcing the topic and objective, updating the basic knowledge of mathematics, which allows further mastering special disciplines based on mathematical concepts. Considerable attention was paid to practical skills in solving problems, the ability to apply mathematical methods to study technical and economic processes, as well as to make effective decisions and optimise organisational processes. The lesson was held in the format of an interactive dialogue to master the necessary mathematical apparatus that allows analysing, modelling and solving applied problems. At different stages of the lesson, the teacher worked on promoting the development of logical and algorithmic thinking, teaching techniques for solving mathematical formalised problems, instilling skills of independent study of the material using reference, methodological and special literature, skilfully operated and used methods and techniques of innovative technologies: ‘Active listening’, “Problematic question”, “Brainstorming”, which encouraged students to be active throughout the lesson.

 Olena Borysivna joined the discussion of issues throughout the lesson, helping students to better solve specialised tasks and practical problems during their professional activities in the field of transport, in the process of studying, which involves the application of theories and methods of studying the elements of the transport system and is characterised by complexity and uncertainty. The students asked Olena Borysivna a number of questions about the application of the acquired knowledge in practical situations. The emotional contact between the students and the teachers was established and maintained throughout the lesson. The lesson was dynamic and productive, and the goal was achieved, because such interaction enables students to apply the knowledge and experience of qualified professionals and to better absorb complex programme material.