Acquisition of relational knowledge is a core process in cognitive development. Relational knowledge is dynamic and flexible, entails structure-consistent mappings between representations, has properties of compositionality and systematicity, and depends on binding in working memory. We review three types of computational models relevant to…

Young children's integration of weight and distance information was examined using a new methodology that combines a single-armed apparatus with functional measurement. Weight and distance values were varied factorially across the item set. Children estimated how far the beam would tilt when different numbers of weights were placed at different…

The children's gambling task (CGT [Kerr, A., & Zelazo, P. D. (2004). Development of "Hot" executive function: The children's gambling task. "Brain and Cognition," 55, 148-157]) involves integrating information about losses and gains to maximize winnings when selecting cards from two decks. Both cognitive complexity and control (CCC) theory and…

According to cognitive complexity and control (CCC) theory complexity depends on number of levels of a hierarchy of rules. According to relational complexity (RC) theory complexity is a function of the number of related variables in the task, and the most difficult tasks are those in which there is a constraint on decomposition into simpler…

The concept of relational complexity is applied to explain the persistent difficulties of young children with theory of mind. Relational complexity has been found useful as a general cognitive complexity metric. Children must understand that the relation between an object and a person's percept is conditional on a third variable, such as a filter…

Relational complexity has been found to be an effective metric for cognitive tasks. The hypothesis that the greater difficulty and later age of attainment of hierarchical classification as compared to category induction are attributable to differences in structural complexity was tested. Hierarchical classification entails a ternary relation…

Concepts important to cognitive development in children can be classified according to several levels. At level 1, concepts are equivalent in structural complexity to binary relations and univariate functions. At level 2, concepts are equivalent to compositions of binary relations, binary operations, and bivariate functions. At level 3, concepts…

Concludes that strategies are not responsible for memory span development in children 7 through 13 years old. Running and fixed memory span tasks and a running probe task were administered to 38 children. The probe task showed age differences as great as with the fixed span task. Span was reduced by approximately half an item over all ages.…

The implications of three concepts from cognitive science for understanding of cognitive development are reviewed. These are (1) learning (and induction), (2) analogy, and (3) capacity. A model of analogical reasoning is discussed that specifies changes in representations over age that explain phenomena previously thought to be stage-related. (SLD)

This paper describes a computer model that simulates the way children develop the reasoning skills of transitive inference and the construction of ordered sets. The computer model begins from general operations, such as setting and removing goals, storing and retrieving information, comparing elements to find matches, reading premises, and giving…

In order to determine the ability of children aged 3-8 years to reproduce patterns of different levels of complexity, 60 children were asked to reproduce checkerboard patterns at 3 levels of complexity, measured by code length as suggested by H. A. Simon. (Author/SB)

Comments on Moshman's discussion, in this issue, of reasoning as self-constrained thinking, arguing that differences in type of reasoning constraint probably reflect different knowledge bases but do not necessarily imply different processes. The fact that different tasks require different kinds of knowledge does not mean that different processes…

Reviews "The Mind's Staircase: Exploring the Conceptual Underpinnings of Children's Thought and Knowledge," edited by Robbie Case. A main thesis of the book, which discusses theoretical issues and presents empirical evidence, is that children's cognitive development is guided by central conceptual structures, or networks of concepts that…

Category theory concept of a commutative diagram was used to construct a model of the way in which symbolic processes are applied to problem solving. It was shown that several different levels of thought can be distinguished within the basic model. Two experiments testing the theory are reported. (Author/RD)