Computer Models of One Mathematical Olympiad Problem

Dynamic computer models of a geometry problem from the 23rd Balkan Mathematical Olympiad in 2006 are presented. Ideas for their use are described: for providing conditions for research work and formulating hypotheses, for discovering an idea for solving, for presenting a solution, for learning the software through tasks. A reference is made to dynamic computer models of other Olympiad tasks provided in the Virtual Mathematics Laboratory developed in the Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences. The possibility of their usage in both informal and in formal education in mathematics and information technologies is discussed.