Geometrische Extremwertaufgaben in dynamischer Behandlung

There are some shortcomings in the treatment of extreme value problems in current schoolbooks. Most extreme value problems are geometrical problems. The methods of dynamic geometry open up new possibilities of preformal treatment of geometrical extreme value problems. Figures made movable by direct manipulation permit an experimental investigation of their quantitative characteristics with the goal of detecting extremal properties and determining them approximatively. Illustration of quasi-empirical functions in the form of graphical representations is an important technique. Cabri Géomètre II is recommended as an appropriate tool.