The Classroom Ratio of High- and Low-aptitude Students and Its Effect on Achievement

Classrooms with “more favorable” teaching situations were defined as those in which more than a third of the students were high aptitude and less than a third of the students were low aptitude. “Less favorable” classrooms were those in which less than a third of the students were high aptitude and more than a third of the students were low aptitude. The stated hypothesis was that the ratio of high-aptitude students to low-aptitude students in the classrooms would influence the mathematics achievement of students. Individual standardized aptitude and achievement data were available for 103 third- and fourth-grade classrooms. The sample was drawn from a large metropolitan school district that basically served a middle-class population in neighborhood schools. Analyses of variance tests indicated that both high- and low-aptitude students in more favorable classrooms had greater achievement gains than comparable students in less favorable classrooms.