Among neglected topics in the development of mathematics education is the frequently mentioned use of modern technology, especially hypermedia-based learning environments. This paper examines the use of computer technology for mathematics teaching on tertiary level, especially for distance learning and assessment. It focuses on dynamic sketches, which were used to offer students opportunity to recognize and represent elements of functions and binary operations within a distance education management. It seems that moving from old study culture towards a modern one brings many kinds of cognitive, emotional and social problems. Our experiences do not support the view that using interactive JAVA applets, for example, would bring special advantages without an appropriate pedagogical framework connected to reflective tutoring.