In higher education, including mathematics teaching, we face new challenges
continuously, which are partly due to the changes in the educational environment and
partly due to the changes brought about by technology. During the last few years, the
pandemic changed many traits of teaching; some solutions developed for those times have
now become part of everyday education. At the same time, disruptive methods have been
developed, while the traditional ones are still there. Another challenge we face is the
validation of knowledge acquired at other institutions during student transfers, partly due
to different curricula, course structures, and credit systems. Recently artificial intelligence
has opened new dimensions and raised basic questions related to the future of education. In
the present paper, we discuss some actual problems of mathematics teaching, with special
interest in the coexistence of new and traditional elements.
