Humans can learn to organize many kinds of domains into categories, including real-world domains such as kinsfolk and synthetic domains such as sets of geometric figures that vary along several dimensions. Psychologists have studied many individual domains in detail, but there have been few attempts to characterize or explore the full space of…

Establishing and maintaining the desirable kind of balance between meaning and computational competence is the subject of this reprint from a 1956 issue of the journal. Sources of the dilemma and suggestions for solution are discussed. (MNS)

Examines current research on brain development, focusing on infants' ability to understand basic numerical concepts and arithmetic operations. Asserts that as the brain undergoes dramatic transformations, it already has a built-in capacity to understand basic numerical concepts. Recommends that parents and professionals engage in activities…

Discusses some important components of instruction on fractions in the early childhood years. Argues that fractions should be included in the early childhood curriculum and suggests various activities and materials. (PK)

The problem of innumeracy in general and at the primary school level in particular is attributed to a structuralist design of instruction emphasizing an algorithmic approach to arithmetic. Offered is an alternative learning approach developing arithmetic as an informal context-bound activity tied to mental arithmetic and estimation. (MDH)