Industrial Mathematics in Stem Education as a Pathway to Technological Progress

Abstract

The article explores the possibilities of integrating industrial mathematics into STEM education for 10th–11th-grade students through the use of applied tasks, project-based activities, and modern technologies, aiming to enhance interest in mathematics and prepare young people for careers in technical and technological fields. To achieve this goal, a comprehensive approach was employed, including methods of systematic analysis of scientific literature, comparative analysis of approaches to solving mathematical problems in industrial and scientific contexts, as well as classification and generalization of the main directions of industrial mathematics. Examples of practical applications of mathematical models in fields such as finance, cybersecurity, bioinformatics, and engineering were studied, allowing for an assessment of their effectiveness and prospects for the educational process.

The integration of industrial mathematics into the school curriculum not only deepens theoretical knowledge but also fosters the development of practical skills necessary for solving real-world problems. Specifically, the use of mathematical modeling, big data analysis, optimization algorithms, and cryptography enables students to apply their knowledge to relevant scenarios, such as forecasting financial risks, optimizing production processes, or securing information. For instance, linear programming tasks allow students to model economic processes, such as creating an optimal enterprise work schedule or minimizing logistics costs. Probability and statistical analysis, using examples from financial markets, promotes critical thinking and the ability to work with large datasets. Particular attention is given to interactive teaching methods, which involve the use of specialized software for creating digital twins, simulations, and machine learning algorithms.

Methodological recommendations are proposed for updating school curricula, particularly through the inclusion of interdisciplinary projects that combine mathematics with programming, engineering, and other STEM disciplines.