Some mathematicians' perceived and envisioned instructional relationships in secondary teaching and teaching secondary teachers.

When it comes to content courses for prospective secondary teachers, mathematics faculty's intentions conflict with teachers' experiences: while faculty aim to influence teachers' future teaching, many teachers find these courses irrelevant to teaching. In this study, we investigate mathematics faculty's goals for content courses for prospective secondary teachers and how these goals connect to their vision of secondary teaching. This study makes two contributions. First, drawing on data from an interview study (n = 5) of faculty who have taught secondary teachers, we articulate these mathematicians' rationales with respect to teaching secondary teachers, particularly in capstone courses. Second, we contribute a conceptual framework that supports inferences about connections between content course activities and instructors' beliefs about secondary teaching. We conclude by suggesting that the dual triad that depicts our framework may support professional development and programmatic design. [ABSTRACT FROM AUTHOR]