Although research has come to recognize the importance of studying classroom-based student-teacher discourse in science, the emphasis remains largely on teachers' abilities to ask questions and provide students with feedback, or on students' abilities to ask questions or engage in argumentative discourse. Consequently, little research has focused on the discourse elements relating to teacher-student discourse interactions. In this article, we argue for a shift of research attention toward describing what the teacher is responding to ("Identification" of student inquiry), the process of deciding how to respond ("Interpretation-Evaluation" of student inquiry), and how the teacher is responding ("Response" to student inquiry). We propose a new methodological approach for studying teacher discourse, which involves a framework we developed while analyzing 1,385 minutes of fifth grade, whole-class science conversations covering a 2-year period and facilitated by an experienced science teacher. Then, as a case in point, we applied our framework to the teacher discourse data of the study, aiming to show that the framework can be a useful tool for examining how a teacher supports students' inquiry. (Contains 4 tables.)