Many students encounter difficulty in their transition to advanced mathematical thinking. Such difficulty may be explained by a lack of understanding of many concepts taught in early school years, especially multiplicative reasoning. Advanced mathematical thinking depends on the development of multiplicative reasoning. The purpose of this study…

Developmental assumptions that are frequently regarded as constraints on elementary school science curricula are analyzed. The argument that elementary school children cannot function as experimentalists because they have not yet attained formal operational thought is not supported by the Piagetian or non-Piagetian research reviewed. (SLD)

This paper has two purposes: (1) to explain briefly in terms of Piaget's theory why relationships are fundamental for constructivist teachers; and (2) to show how constructivist teachers can think about relationships in classroom activities. In a nutshell, the message is that the process by which children are constructing their intelligence,…