Critical thinking when engaged in science problem solving around even simple tasks such as the Piagetian volume conservation task is a complex endeavor. Tasks such as the conservation task often require the interaction of multiple cognitive systems. Parity judgment, retrieval, and lateral thinking are three examples of such systems interacting…

This study aimed to determine the cognitive process employed in problem-solving related to the concept of area conservation for seventh graders. Two students with different mathematical ability were chosen to be the subjects of this research. Each of them was the representative of high achievers and low achievers based on a set of area…

In this paper we describe student use of a series of connected online problem-solving activities to remediate atmospheric carbon budget misconceptions held by undergraduate university students. In particular, activities were designed to address a common misconception about conservation of mass when students assume a simplistic, direct relationship…

Reports four experiments focusing on Piaget's claims that conservation and transitivity concepts are experienced as logically necessary truths. Two experiments examined feelings of certainty and necessity in college students presented with Piagetian tasks. Two other experiments extended these procedures to children and the issue of developmental…

This study investigated students' understanding of two mathematical relations as measured by conservation tasks. Thirty students were interviewed, half each at the middle and high school levels. The results suggest that the ability to conserve equation or function varies among pupils of different ages, sexes, and mathematical backgrounds. (MP)

Study showed that the conservation responses acquired through participation in a problem-solving group are enduring and generalizable. (Authors)

Evaluated the possibility that three-year-olds solve small-number conservation problems by an empirical procedure whereby the sets are quantified each time presented. Children chose the more numerous of two arrays, one containing two elements and the other three elements. Results disconfirmed claims that three-year-olds can conserve small numbers.…

This paper outlines the syntactic structures which represent a stage in the cognitive development of children, and focusses on an aspect of cognitive development known as conservation. The cognitive components of conservation are presented as the primordial base for the set of syntactic structures which map or mirror them. Piaget proposed four…

Demonstrated is a covariance principle that causes the observer to assume that if one aspect of a two-dimensional figure (its perimeter or its area) is conserved, the other aspect must also be conserved (pseudo-conservation). Mentally retarded individuals, assuming no such fixed relationship, correctly judged the changed state of the nonconserved…

A study was designed to develop an instrument and methodological procedure to assess transitive relations within seriation problems in elementary school children using three criteria: explanations, judgments, and strategies. A secondary analysis to assess transitivity used the three criteria according to whether the children were conservers, in…

Investigated was how easily pupils aged 12 and 13 who were initially unaware of the invariance of an operation (with decimals) modeling a situation could be led to such awareness. Results from clinical interviews are reviewed and a protocol presented. It appeared difficult to induce conservation. (MNS)

This paper examines the concept of decalage from two cognitive-change positions (structures of logical thought and attentional and verbal mediators) and proposes an alternative explanation for decalage from a perceptual-change point of view. The term decalage is used to summarize the relation between differences in performance of various age…

An analysis of children's narrative composition and art revealed concurrent development at both a general structural level and at a fine-grained detail level. A three-part study investigated whether this general cognitive pattern would be maintained across a different range of tasks: literary composition, scientific reasoning, and working memory.…

This study was designed to investigate the relationship between the level of conservation of displaced volume and the degree to which sixth-grade children learn the volume algorithm of a cuboid, namely, volume equals weight times length times height. The problem chosen is based on an apparent discrepancy between the present school programs and…