Recent developments in performance-based knowledge space theory

Knowledge Space Theory was founded by Doignon and Falmagne (1985). This paper initiated an extensive body of work, which is still in progress. In this chapter, we present recent examples regarding developments in the theory and its relationship to other approaches, methods and applications. As in other chapters of this volume (e.g., Ch. 10) it becomes obvious that there is a high potential for further developments of Knowledge Space Theory. Furthermore, for theoretical as well as practical reasons the relationship to other theoretical approaches such as Formal Concept Analysis, Latent Class Analysis, and Item Response Theory has to be taken into account.