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We argue that it is essential to provide opportunities for prospective secondary mathematics teachers to connect advanced mathematics content to secondary mathematics teaching practice (in addition to connections only to secondary mathematics), if advanced mathematics courses are to be useful to these teachers. In light of this argument, we review a selection of curricular materials satisfying two criteria: first, they are written for use in advanced mathematics courses that prospective teachers may take; and second, they feature explicit connections to secondary teaching practice. We use this review to highlight essential questions for the future of research and practice in advanced mathematics coursework. We suggest there is much unknown about how teachers can successfully integrate their experiences in advanced mathematics and pedagogical methods.

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