At the beginning of preschool (M = 46 months of age), 197 (94 boys) children were administered tasks that assessed a suite of nonsymbolic and symbolic quantitative competencies as well as their executive functions, verbal and nonverbal intelligence, preliteracy skills, and their parents' education level. The children's mathematics achievement was…

Curriculum balance is a conception rooted in an understanding of the nature and scope of cognition. It is not the case that certain cultural forms, such as the arts, to name but one example, are affective and mathematics cognitive. They are all cognitive. (Author/IRT)

Discusses the four metaphoric modes of thinking (as opposed to analytic modes). These modes persist at all stages of cognitive maturity, yet there is a diminishing use of these modes, except symbolic abstract, in the schools as one goes up through the cognitive stages. (Author/IRT)

According to Alfred North Whitehead, education precedes through three stages as it develops students' minds: (1) romantic; (2) precision; and (3) generalization. These stages are related to Whitehead's ideas about prehension and symbolic reference. Educational practices should strike a balance between the stages to encourage learning. (PP)

This researcher investigated the relationship of hierarchical classification processes in subjects categorized as to developmental level as defined by Piaget's theory, and explored the validity of the hierarchical model and test used in the study. A hierarchical classification test and a battery of four Piaget-type tasks were administered…