Mathematically gifted students have needs that differ in nature from those of other students. They require some differentiated instruction, defined by Tomlinson (1995) as “consistently using a variety of instructional approaches to modify content, process, and/or products in response to learning readiness and interest of academically diverse students.” Yet recent studies have found few instructional or curricular modifications in regular elementary classrooms (Archambault et al., 1993; Westberg, Archambault, Dobyns & Salvin, 1993). In grades 9-12, students may be able to select honors, advanced, and AP courses; however, even in these more homogeneously grouped classes there is a range of differences that need to be acknowledged.

via Teaching Mathematics to Gifted Students in a Mixed-Ability Classroom (Reference) – TeacherVision.com.