The paper has been presented at the International Conference Pioneers of Bulgarian Mathematics, Dedicated to Nikola Obreshko ff and Lubomir Tschakaloff , Sofi a, July, 2006.Component-based software engineering and software architecture are tightly connected areas in computer science. Software architecture presents the functionality of the system as decomposition into components, the properties of these components and the connectors between them. This paper illustrates a methodology for application...

Using examples from elementary mathematics, the article presents some possibilities of using GeoGebra as a tool of active discovery of the mathematical basis of problems. The solving procedures are described by individual steps so that the reader can try them him/herself. The problems were chosen so that different solving strategies can be used in GeoGebra: analytic, synthetic, algebraic.