In the pair of experiments reported here the authors investigated the relationship between meaningfulness of problem statements and subjects' use of these statements in problem-solving tasks. Subjects (96 university students) were required to memorize meaningful formulae such as "volume = area x height" or corresponding symbolic formulae such as…

Proposes that cognitive developmental stages can be accounted for in terms of information processing factors which limit the highest level of cognitive system which children can attain at any given age. Delineates four progressively more complex levels of cognitive mediation of the environment. Two experiments which support the developmental model…

This study was conducted to determine the relative effectiveness of the use of three different combinations of enactive, ikonic and symbolic representation in teaching multiplication to third-grade students. Ninety students in three classrooms were instructed in accordance with the assigned treatment for nine weeks. Groups were equated using the…