Author(s):
- Tumanova Nataliia Pavlivna, ORCID: 0009-0004-0090-6053
DOI: https://doi.org/10.32782/2307-9770.2024.12.03.03
Paper Language: UKR
Abstract
The aim of the work is to develop and test a system of vocationally oriented mathematical education as a basis for professional training of engineering students. The study focuses on the integration of theoretical and applied mathematical knowledge in solving real engineering problems, which ensures the relevance of mathematics in professional activities. The study combines theoretical and experimental approaches. The theoretical component involves the analysis of educational standards, curricula, pedagogical literature, synthesis of methodological principles, and modelling of educational processes. The experimental aspect includes the development and implementation of pedagogical experiments in real educational settings. In addition, the study uses algorithmic approaches, computer tools and interdisciplinary links to improve the effectiveness of mathematical training. This combination of methods ensures the adaptability of the proposed system to the requirements of modern education and the engineering profession. The introduction of a vocationally oriented system of mathematics education has yielded several important results. First, the integration of real-world engineering problems into the curriculum has significantly increased students' motivation to study mathematics. Students reported a better understanding of how mathematical concepts are directly related to their future professional activities. Secondly, the system contributed to the development of vocationally oriented mathematical competences. Students improved their ability to model and solve applied problems, analyze data and interpret results in an engineering context. Thirdly, the interdisciplinary approach fostered cognitive growth by improving students' ability to apply mathematical concepts across engineering disciplines, leading to deeper conceptual understanding and critical thinking skills. Finally, students gained practical experience in using mathematical software and computer tools to solve engineering problems, which is crucial for modern technical professions. Teachers noted the high effectiveness of the proposed teaching methods, emphasizing their practical nature and ability to develop students' sought-after professional competences. They emphasized that the integration of real engineering tasks into the curriculum can significantly improve the quality of learning and make the learning process more interesting and effective. The methodology contributed not only to the deepening of theoretical knowledge but also to the development of such important skills as the ability to analyze applied problems, use interdisciplinary approaches, and apply modern modelling and computing tools. The lecturers noted that the integrated approach helps students to better understand the connection between theory and practice, making them better prepared to perform professional tasks. They also emphasized the effectiveness of the use of computer technology and specialized software, which facilitates learning and allows students to immediately see the results of their calculations in applied scenarios. The lecturers noted that this approach significantly reduces the time required to learn the material and stimulates students' active participation in the learning process. A new approach to integrating mathematics education into engineering training. In contrast to traditional methods, the proposed system emphasizes the direct application of mathematical knowledge to professional tasks, bridging the gap between theoretical learning and practical skills. This study is the first to propose a comprehensive system that includes pedagogical strategies, interdisciplinary links and the use of modern educational technologies. The proposed system offers a practical roadmap for updating the mathematical training of engineering students in line with the requirements of modern industries. By integrating real-world tasks into the curriculum, the system ensures that graduates are equipped with the skills needed to solve professional problems. The results of this study can be applied to curriculum development, teacher training, and the creation of teaching materials for engineering programs.
Keywords
vocationally oriented education, mathematical competences, applied problems, engineering education, interdisciplinary approach, student motivation, mathematical modelling, professional training, computer technologies, innovative teaching methods
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