Abstrakt
The paper presents the potential of the use of Computer Algebra Systems in mathematics education, especially in solving problems whose standard solution goes beyond the students' abilities, be it due to technical demands (making use of the computational power of computers) or due to high difficulty of the problem (using the possibility to model the solution numerically). The problems on which both these situations are illustrated are designed for higher secondary school students but can also be successfully used in pre-service teacher training.