The author defends the teaching of thinking strategies. (MK)

This study was concerned with the effects of selected experiences on the ability of preschool children to use conservation of length and conservation of length relations. The experiences involved the equivalence relation "the same length as" and the two order relations "shorter than" and "longer than." The subjects were 51 four and five year old…

Examined were differential performances among categories of first graders when solving arithmetical workd problems of eight types under two distinct conditions. The categories were based on various types of quantitative comparisons which children are known to make. Several statistically significant results were obtained involving differences…

Four levels of quantitative comparisons based on Piagetian task analysis and three IQ levels were used to partition a population of 341 first grade children. Each child was then tested on a set of addition facts and a set of addition problems which varied according to the use of aids or transformation. (JG)

The goal of this study was to investigate improvement in the usage of equivalence and order relations under specified instructional conditions. Forty-eight upper middle class kindergarten children were given a 14-session pretreatment designed to define two equivalence and four order relations of length and matching, followed by tests of…

Theory and research concerning the development of spatial concepts by young children are discussed. Results of Martin and Kidder are compared with those of Piaget. (SD)

This report presents the results of a teaching experiment which investigated (1) the role of mathematical experiences on the development of counting, addition, subtraction, mental arithmetic, classification, and other arithmetical topics and (2) the role of quantitative comparisons and class inclusion as readiness variables for learning the…

A study of conservation of length concepts covering the symmetric, asymmetric, reflexive, nonreflexive, and transitive relations. Their order of development was traced during the course of a 15-lesson sequence of related instruction. (MM)

Research findings related to children's concepts of length, area, volume, weight and time are reviewed. Implications for instruction in measurement of these qualities are discussed. (SD)