This special issue comprises eleven articles from the DFG priority program Competence Models for Assessing Individual Learning Outcomes and Evaluating Educational Processes. The special issue aims at showing the priority program's present state of discussion concerning essential concepts and questions related to the modeling of competencies. The first article describes the structure and research areas of the program and gives an overview on the current state of research. The short articles two to eleven discuss questions and problems which proved to be of particular importance during the work of the priority program in the last years. These articles constitute the result of a workshop of the participating scientists of the priority program in terms of position papers.