Schematic knowledge was assessed by asking 195 ninth and tenth graders to classify area-of-rectangle problems in terms of whether the text provided insufficient, sufficient, or irrelevant information for solution. The hierarchical ordering of templates for the area of a rectangle is demonstrated, and implications for mathematics instruction are…

Female tenth graders (n=217) were less likely than male tenth graders (n=219) to identify missing or irrelevant information in algebra problems. Female eleventh graders (n=234) were less likely than male eleventh graders (n=287) to solve problems with irrelevant information. Results indicate sex differences in knowledge of problem structure. (SLD)