In large measure the authors agree with Tobias and Fletcher's (2012) comments stating that clearer operational definitions of game features are needed to enable research on games and learning. The authors cannot accept that games are a subset of simulations, preferring to identify instances when games and simulations overlap and when they do not.…

The assessment of knowledge and learning progress in the context of game-based learning requires novel, noninvasive, and embedded approaches. In the present paper, we introduce a mathematical framework which relates the (problem solution) behavior of a learner in the game context to the learner's available and lacking competencies. We argue that a…