The results of interviews with seventeen lecturers of Methodology of Teaching and/or Practice of Teaching in the areas of biology, physics, chemistry, mathematics, belonging to three public universities located in the three different geographical regions, are presented and discussed. The main research objective was to investigate how the Brazilian National Curricular Parameters are being treated in the pre-service training of high school teachers of subjects in the area of Natural Sciences, Mathematics and their Technologies, as well as to capture the opinions of the interviewees about those documents and their comprehension about the main concepts of competences, interdisciplinary approaches and contextualization, embodied in the Parameters. Some theoretical aspects related to those notions and which are present in recent literature are also discussed.