Eva-CBTM is a project for the Evaluation of Computer Based programs for learning and Teaching Mathematics. The idea of Eva-CBTM is to develop a complete system for such an evaluation which is valid, reliable and objective. The evaluation system is based on a process oriented view at computer based practicing of mathematics. The system has the following components: assessment, assistance resp. help, architecture of the system, system of choosing exercises, and degrees of freedom. The consideration of thematic com-pleteness plays an important role in the evaluation process. In the first two chapters over 60 platforms for learning and prac-ticing mathematics are present-ed in short, 15 of them are fully evaluated. Chapter III discusses the potential of platforms for presenting more complex tasks, for in-stance problem solving or mod-eling. Chapter IV describes a method to measure the "didactical comprehensiveness" of CBTM-platforms, i.e., the depth in which a certain topic is dealt with in exercises.