Algebra as a study of quantitative relationship is one of four conceptions of school algebra which serves as a foundation for the concept of function. However, there is still a lack of attention to this particular relationship, especially in early algebraic reasoning. This study aims to investigate how the aspect of quantitative relationship in…

Conservation and executive function (EF) are important early childhood skills; however, knowledge about their relationship is scarce. Hence, in this study, this relationship is investigated, and a comparison is conducted between the Piagetian conservation and EF tasks to obtain the total hemoglobin (mMmm) for the left and right brain activity in…

The first idea that must be understood by the students to learn the concept of concept of conservation of area is recomposing shape. In recomposing shape, the students will see the fact that the shape can be transformed into a different form without adding or losing the part of the shape. So the students could conclude that the area of the shape…

A concept-by-concept approach to Jean Piaget's ideas and findings about the intellectual growth of children is presented in simplified form for the lay reader. It first reviews the theoretical rationale behind Piaget's work and sets forth his basic principles of development. Then comes an overview of developmental stages of intellectual growth…

Stimulus conditions were found to interact with conservation level and relation type. (MM)

The purpose was to determine whether different levels of education, race, and sex affect the degree of conservation of mass, weight, and volume attained by minimally educated adults. Subjects were 30 white and 30 black females and 30 white and 30 black males enrolled in Adult Basic Education classes, with 40 subjects each at grade levels 0-3, 4-6,…

An exploratory study involving three days of brief instruction in a process-by-attribute approach. Significant performance gains were recorded. (MM)

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)

Students who behave as though an equation (function) is unchanged by a transformation of variable are said to conserve equation (function). Tasks devised to test for conservation of equation and function were administered, along with typical Piagetian tasks, to 72 students, aged 12, 14, and 17. Results suggest that conservation of equation,…

The objective of this study was to assess the ability of a previously prepared diagnostic test to detect the need for remediation in preschool children and then to assess the effectiveness of specially designed remedial materials. The subjects consisted of 47 boys and 25 girls from four private kindergartens in Nashville, Tennessee. All subjects…

Reported are the results of an investigation of the child's acquisition of the concept of area measure. To measure this acquisition, four axioms were developed to define the concept of area. A task was developed for each axiom to test operational understanding of the axiom. A test of vocabulary and a conservation of area task were administered to…

The purpose was to investigate the influence of variations in conservation form and perceptual modality on the expressed level of understanding of the conservation of weight concept, and to determine if these variations result in significantly different observed rates of concept development. Sampling included 225 children, five to twelve years…

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)

Children were grouped according to ability to conserve number and then randomly assigned to training on arithmetic concepts or playing a game. The research hypothesis that there would be an interaction effect between conservation and effect of treatment was not confirmed. (SD)

The question of how Piaget selects mathematical concepts for his theory is addressed as a problem which may have contributed to a misinterpretation of the relevance of conservation studies for mathematics education. A new form of pseudo-conservation is discussed in which nonconservers of length are able to pick out strips of equal length from an…