The paper analyzes and suggests different ways of modeling students’ project activities through the components of the pedagogical process, such as content, operational, diagnostic and effectiveness. Critical thinking and teamwork skills of students are substantiated as integrated and dynamic personality traits that reflect the formation of soft and hard skills, as well as the ability of self-development. The study is the implementation of a project-based learning for students as an integration of critical thinking and teamwork skills of students through digital technologies and computer mathematics. The matrix reflecting the dependency of a student’s critical thinking skills on the ability to work in a team during educational projects has been developed, tested, and analyzed. The study proves that the integration of critical thinking and teamwork skills of students through digital technologies and computer mathematics affects self-development, improves academic performance, develops soft and hard skills through project activities, the synthesis of which is the professional competencies of a future specialist. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.
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