This study attempts to understand how "achievement gap Discourse" might be present in preservice teachers' (PSTs) Discourse about students they found challenging to teach. Using a Discourse analytic approach, the project considers: How do PSTs describe challenging students in their written reflections? Do PSTs draw on students' multiple identities? Findings reveal PSTs are taking up a Discourse prevalent in today's educational environment in which students, particularly ethnically and linguistically diverse students, are discussed in terms of inadequacy. PSTs typically describe students in terms of a single label, rather than as having multiple identities. Implications include that PSTs might enter teaching with a limited view and incomplete understanding of students and that even a teacher-education program aimed at pushing PSTs to question their assumptions about students might be reifying a systemwide Discourse that identifies students based on labels--sometimes deficit-oriented labels--rather than fuller understandings of students.