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New observation instruments used in research and evaluation settings assess teachers along multiple domains of teaching practice, both general and content-specific. However, this work infrequently explores the relationship between these domains. In this study, we use exploratory and confirmatory factor analyses of two observation instruments - the Classroom Assessment Scoring System (CLASS) and the Mathematical Quality of Instruction (MQI) - to explore the extent to which we might integrate both general and content-specific view of teaching. Importantly, bi-factor analyses that account for instrument-specific variation enable more robust conclusions than in existing literature. Findings indicate that there is some overlap between instruments, but that the best factor structures include both general and content-specific practices. This suggests new approaches to measuring mathematics instruction for the purposes of evaluation and professional development.