This study explores the relationship between the dispositions toward research that writing teachers convey through their assignments and those that their students express in their reflective writing. We applied the term "problem-exploring" to a set of dispositions described by the ACRL Framework and coded each clause of instructor assignment text and student reflective writing from six FYW sections, half of which were working with a librarian to incorporate core concepts from the Framework. We found a strong correlation between the proportion of instructors' problem-exploring assignment language and students' expressions of problem-exploring at end of term. The rates of problem-exploring were significantly higher for instructors and students in sections working with the Framework. Our results offer a new lens through which to view research-assignment design, provide evidence of how assignments can foster problem-exploring, and support the value of pedagogical collaboration with librarians.