Relevance. The study's relevance is based on significant changes in the higher education system. The Ministry of Education now requires clear outcomes and organisation of the educational process. Transitioning to innovative methods reflects the goals of educational reform, making the selection of teaching methods for future mathematics teachers crucial. Purpose. The paper aims to substantiate the practical aspects of using modern forms and methods of teaching students due to introducing new educational standards based on a competency-based approach. Methodology. The leading methods of studying this problem include analysis and synthesis, classification, deduction, generalisation, and comparison of approaches. These methods help identify and highlight the main innovative teaching technologies and their use in universities. Results. The study analyses and clarifies interactive and innovative teaching methods, highlighting their advantages over conventional methods. It develops a teaching technique to enhance critical thinking and professional competency and presents findings on teachers' perspectives and student-teacher attitudes towards new methods. Conclusions. The study concludes that interactive and innovative teaching methods significantly improve the quality and efficiency of education for future mathematics teachers. These methods foster critical thinking, enhance professional competencies, and create a more engaging learning environment. The transition to these methods is beneficial and necessary for meeting modern educational standards and demands. Keywords: mathematics teacher; higher education; innovative methods; competency-based approach