The purposes of this study were (1) to determine the difference between the cognitive style of low and high achieving students in an algebra course in a traditional high school and the cognitive style of low and high achieving students in an algebra course in a high school for dropouts, and (2) to determine the difference between the cognitive styles of low and high achieving males and females in an algebra class in a traditional high school and in a high school for dropouts. It was hypothesized that (1) low achieving mathematics students are more field-dependent than high achieving mathematics students in both the traditional high school and in the high school for dropouts, (2) female students are more field-dependent than male students in the mathematics classes of both schools, and (3) there will be a significant interaction on the achievement variable and the sex variable with respect to field-dependence in both schools.