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Relevance. In modern conditions of globalisation, the issue of the prospects for the organisation of professionally oriented mathematics education in the Republic of Kazakhstan is one of the most important problems for improving the quality of technical education in the state. Purpose. The purpose of the study is the analysis and practical implementation of the methodological component to increase the levels of readiness of future specialists of a technical university for the development of professional competencies, as a guarantee of the education of a competent specialist ready to carry out professional activities. Methodology. The following methods are used: analysis, comparison, systematisation, classification, generalisation and experiment, and methods of mathematical statistics. Results. The study conducted at Korkyt Ata Kyzylorda University developed a methodological toolkit aimed at enhancing the professional competencies of future technical university specialists through professionally-oriented mathematics education. Key findings include the identification of effective pedagogical conditions, such as diverse educational activities, the activation of independent cognitive work, the integration of digital technologies in mathematics education, and the use of professionally-oriented tasks, which collectively contribute to higher levels of readiness among students. Conclusions. The research underscores the importance of a structured approach to professionally-oriented mathematics education in technical universities. By implementing a methodological system that incorporates components and criteria of readiness, educational institutions can significantly improve the professional competencies of future specialists. The study suggests that further refinement of these methodologies can continue to elevate the quality of technical education in the Republic of Kazakhstan, ensuring that graduates are well-prepared for professional activities. Keywords: higher education; teaching methods; components of readiness; pedagogical conditions of training; digital technologies
Yergalauova et al. (Wed,) studied this question.