The effects of numerical and visual cues, equality or inequality of initial volumes, size of measurement unit, and order of cue presentation on conservation of liquid volumes by first- and second-graders were investigated. Some findings extend, and others contradict, those of Piaget. (SD)

Tested was a method of learning numeration, addition, and subtraction using measuring operations in place of the more usual counting operations. It is claimed that an approach through "units of measurement" to continuous variables is mathematically more powerful than counting, which leads only to nominal and ordinal variables. Twelve children…

First-grade students' understanding of several basic measurement processes was examined. Twenty randomly selected students from five first-grade classes in two different schools were individually examined on 11 measurement tasks. Seven of the tasks were adapted from items reported in the Gal'perin and Georgiev study, designed to test understanding…

The purpose was to test portions of Piaget's model for the development of operational conservation and measurement of length. A random selection of 102 second grade students from three different cities was used; one group had participated in the AAAS "Science - A Process Approach" science program in grades K-2, one group had received…

Reported is a study of the development of conservation and measurement concepts, with reference to certain task factors which may affect performance. A group of 129 first and second graders were given a test of conservation and measurement consisting of five problem types crossed with three transformation types. The problems all involved moving…

A group of 47 kindergarten and first grade children from a school chiefly composed of Negro children from low-income families was involved in this study which followed a Solomon four group design. All children received a pretreatment of 17 lessons on matching relations and length relations. The pretest group was then given six tests on relations,…

First graders' length conservation was measured using a verbal and nonverbal test, and the results were compared as predictors of mathematics achievement. Findings showed that verbal conservation scores were superior to nonverbal conservation scores and to intelligence scores for predicting achievement. (DT)

Area and measurement tasks representative of those used by Piaget were administered to 168 primary students. Data were analyzed to determine effects of sex, age, and task sequence. (SD)

This study sought to identify prerequiste concepts for a child to perform length measurement meaningfully. Conservation of length and use of transitive reasoning were major areas identified. Implications for teaching are given, especially concerning the use of a number line as a model for presenting arithmetic operations. (LS)

This study investigated the relationship between the level of conservation of displaced volume and the degree to which sixth graders learn the volume algorithm of a cuboid, i.e., volume = length x width x height (v = l x w x h). The problem is a consequence of an apparent discrepancy between the present school programs and the theory of Piaget…