Theoretical issues of computer science are traditionally taught in a way that presupposes a solid mathematical background and are usually considered more or less inaccessible for students without this. An effective methodology is described which has been developed for a target group of university students with different backgrounds such as natural science or humanities. It has been developed for a course that integrates theoretical material on computer languages and abstract machines with practical programming techniques. Prolog used as meta-language for describing language issues is the central instrument in the approach: Formal descriptions become running prototypes that are easy and appealing to test and modify, and can be extended into analyzers, interpreters, and tools such as tracers and debuggers. Experience shows a high learning curve, especially when the principles are extended into a learning-by-doing approach having the students to develop such descriptions themselves from an informal introduction.