Explains that understanding of science is vital to effective changes in science education. Discusses Thomas Kuhn's writings on the physical sciences and argues that Kuhn provides a better understanding of science education than do earlier models of science, although Kuhn's model fails to connect science with other social processes and interests.…

Investigates several key statements from Piaget's cognitive psychology and their meaning for science education. Concludes that teaching must be conducted as reversibly as possible so that when the teacher presents his own assimilation schemata it will be equilibrated by the pupils' schemata. (GA)

Describes an attempt to promote both mathematical and nonmathematical problem solving. Suggests that the goals for the average mathematics course need revision, in practice, or additional courses introduced, which will develop thinking ability as a primary objective. (EB)