Our primary concern is the quantitive and qualitative investigation of teachers' views of mathematics and its teaching. Hereby, Dionne and Ernest’s characterization of beliefs on mathematics serves as a theoretical background; the dominant perspectives of views on mathematics can be described as toolbox aspect, system aspect and process aspect. Originally, our test subjects numbered a total of 13 experienced German teachers, whereby we restrict ourselves to 6 persons. In particular the experiences with the Dionne method are to be discussed here, whereby beliefs are interpreted as weight distributions for characteristic core representations, and are quantified by this method.