This talk will make an argument that it is essential to provide opportunities for prospective secondary mathematics teachers to connect advanced mathematics content to secondary mathematics teaching practice, if these courses are to be useful to them as prospective teachers. Then, we will review curricular materials intended for use in advanced mathematics courses in which prospective teachers may enroll, and which make connections to secondary teaching practice. We use this review to highlight essential questions for the future of advanced mathematics coursework, in view of supporting teachers in integrating experiences in their advanced mathematics courses and methods courses.  This is joint work with Nick Wasserman, Jeremy Strayer, Stephanie Casey, Keith Weber, and Tim Fukawa-Connelly.