Analogy is a powerful learning mechanism for children to learn novel, abstract concepts from only limited input, yet also requires cognitive supports. My dissertation sought to propose and examine number lines as a mathematical schema of the number system to facilitate both the development of rational number understanding and analogical reasoning.…

Background: Given the context of low attainment in primary mathematics in South Africa, improving learners' understanding of multiplicative reasoning is important as it underpins much of later mathematics. Aim: Within a broader research programme aiming to improve Foundation Phase (Grades 1-3, 7-9-year-olds) learners' mathematical performance, the…

Background: The ability to generate and flexibly change concepts is of great importance for the development of academic and adaptive skills. This paper analyses the conceptual reasoning ability of children with mild intellectual disability (MID) by their achievements on the Wisconsin Card Sorting Test (WCST). Method: The sample consisted of 95…

Before starting school, many children reason logically about concepts that are basic to their later mathematical learning. We describe a measure of quantitative reasoning that was administered to children at school entry (mean age 5.8 years) and accounted for more variance in a mathematical attainment test than general cognitive ability 16 months…

A theory of how concept formation begins is presented that accounts for conceptual activity in the first year of life, shows how increasing conceptual complexity comes about, and predicts the order in which new types of information accrue to the conceptual system. In a compromise between nativist and empiricist views, it offers a single…

The current study analyzed figure size modification in different types of spatial context (C. Lange-Kuttner, 1997, 2004) for sequence and practice effects. Children of 7, 9, and 11 years of age, as well as 17-year-olds, drew figures in a series of ready-made spatial axes systems, which (a) logically increased in dimensional complexity as in child…

The purposes of this study were twofold: (1) to investigate the effect of movement for several inanimate objects on children's judgments of "aliveness;" and (2) to examine the nature of explanations given by three age groups of children in support of their judgments as to whether animate and inanimate objects were "alive" or…

Level of cognitive development was not significantly related to humor appreciation for either novelty or incongruity humor in 30 boys at each of three age levels: 5, 7, and 9. (WY)

Examines language effects in class-inclusion performance with 224 children ages 3 through 12 by comparing the standard Piagetian question with two alternate question forms. Overall, the findings were inconsistent with the Piagetian assertion that logical inability produces errors in comparing subclasses; inclusion performance was a function of…

Among third, fourth, and fifth graders tested, performance on embedded figures and leveling-sharpening tests correlated with performance on traditional items of class inclusion, suggesting that psychological differentiation is related to reasoning by class inclusion. However, age changes in differentiation do not account for age changes in class…

This study is a longitudinal follow-up analysis of children's performances on a number of Piagetian concrete operations tasks dealing with conservation and transitive inference. Subjects were 102 children selected from kindergarten and grades 1, 3, and 4. (Author/MP)

This study examined 6- to 8-year-old Slovenian children's acquisition of matrix completion proficiency and compared microgenetic and age-related changes on the task. Microgenetic analyses indicated that: variability of children's errors increased before they discovered the correct strategy, the correct strategy became dominant shortly after…

Nine- to 18-month-old infants were presented with simple two-location manual search tasks involving invisible displacements of objects with sequence of displacements occurring before infants search. Results provided insights into age differences associated with development of logical search strategies, information-processing skills, and temporal…

Reports on two studies during which 6-, 8-, and 10-year-old children were interviewed about three different types of regularities or rules: social conventions, physical laws, and logical necessities. Shows that older children made more distinctions between social and nonsocial items than did younger children. (HOD)