mainstream classrooms, the purpose of the study was to find out how Cognitively Guided
Instruction can engage and challenge these students, and to what extent. By observing
mathematically gifted students in CGI classrooms taught by exemplary teachers, analyzing their
problem solving strategies, and interviewing both the students and their teachers, I hope to add to
the literature on which strategies work best to challenge these students and where there may be
room for improvement.