The trend Gamification occurred several years ago in the context of digital teaching and training aka e-learning. Looking closer at the development of game-based learning and gamification in computer science, it has to be admitted, that game-based learning seems to have ended in an impasse point where the instructionally smooth integration of learning and gaming has not really been realizable, yet -- at least not without enormous effort by the learning and gaming content author. The situation in gamification in digital teaching and training systems comes in a similar shape. A structured analysis of what gamification is can help to develop a systematic approach, which then can support a structured and methodologically smooth design of gamification for digital teaching and training.