The purpose of this study was the construction of a theoretical model for analyzing mathematical problem solving. A list of general problem-solving abilities was generated through a literature search. This list was narrowed to eight basic abilities pertinent to mathematics problem solving. Each of these was operationally defined and exemplified in…

This study describes and tests the aptitude treatment interaction (ATI) approach to reading. The rationale which forms the basis of ATI--pairing student to method--evolved from the works of Piaget and other psychologists whose studies focus on the general, and cognitive, development of children. From these studies, it was determined that…