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For improving teacher education, there has been an increasing interest in describing teachers' professional competencies and their development in the course of implementing educational programs. The focus of the present project is on modeling and measuring domain-specific and generic competencies that future physics teachers acquire during their university studies. The model comprises characteristics and relationships between physics content knowledge, pedagogical content knowledge, and skills for explaining physics phenomena. Based on the model, assessment instruments were developed and applied as paper-and-pencil-tests and videotaped expert-novice dialogues for measuring the competencies in a large sample of physics student teachers. Trials and validation suggest that our instruments are valid in terms of content and construct validities.