• Efficient methods of mathematical education (interactive approach, project based learning, serious games, etc.);
  • Math teaching in the context of natural sciences and engineering courses (ratio between fundamental and applied components);
  • Comparative analysis of Russian and international best practices of mathematical education;
  • Application of ICT and e-learning teaching methods for engineers’ mathematical education (adaptive and intelligent teaching systems, problem solvers and training tasks generators, environments for cooperative/collaborative training, etc.);
  • Modern technologies and methods of mathematical education for students with different levels of competences and motivation (bridging courses, work with talented students, support of independent work of students, lifelong learning);
  • Quality assessment of mathematical education for engineering students (modern technologies for testing and monitoring mathematical knowledge and competences). 


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