This paper examines the category-theoretic formulation of cognitive development introduced by Piaget in the late 1960's and elaborated during the 1970's. The new theory is interpreted as the focal point of Piaget's investigations into topics such as function, correspondences, and commutability. Hypotheses arising from Piaget's new model were…

In this article, the authors discuss how children learn to problem solve from birth to 6 years. At 0 to 2 years, children learn to be very effective problem solvers by encouraging children's explorations and supporting their efforts to resolve difficulties. When they reach 3 years old, children enjoy experimenting with a wide variety of materials,…

This paper represents one portion of an ongoing effort to elaborate on pedagogical principles based on structural-developmental (largely Piagetian) theory and research. Here, a concept of "problem structure" is developed as a means for identifying physical factors that contribute to children's ability to apply experimental reasoning.…

Nine undergraduate science and non-science majors (novices) who had recently completed their first college classroom study of genetics and seven genetics graduate students and biology instructors (experts) were videotaped as they attempted to solve a selected group of seven moderately complex classifical genetics problems and three Piagetian tasks…

Outlines Piaget's late ideas on categories and morphisms and the impact of these ideas on the comprehension of the inclusion relationship and the solution of arithmetic problems. Reports a study in which fourth through sixth graders were given arithmetic problems involving two known quantities associated with changes rather than states. Identified…

Knowing how people learn and why they learn in a specific manner unlocks the mysteries of good teaching. Many learning style differences are related to Piagetian stages of cognitive development. Students' stages of cognitive development may not correspond to their ages and achievements. Piaget also found that many individuals are at different…

Review of literature concerning problem solving in genetics and Piagetian stage theory. Authors conclude the research suggests that formal-operational thought is not strictly required for the solution of the majority of classical genetics problems; however, some genetic concepts are difficult for concrete operational students to understand.…

Examined the developmental sequence through which adolescents progress in solving a physics problem (balance beam ratio and proportion) and a social problem (predicting the behavior of a story character). Although most of the 9- through 19-year-olds performed at predictable and similar developmental stages on each task, a minority were more…

Examines the relationships between the development of proportional reasoning strategies and three cognitive variables from Pascual-Leone's and Case's neo-Piagetian theories: (1) degree of field independence; (2) M-space; and (3) short-term storage space. Describes the ability of students to transfer problem-solving schemata to new contexts as well…

Examined is the predictive value of the cognitive variables of developmental level, mental capacity, cognitive style, short-term storage space, and numerical inductive reasoning for student achievement in college science. Included is a strategy for the development of materials which would allow students to develop problem-solving skills. (KR)

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.…

The purpose of this study was to find out whether students perform differently on algebra word problems that have certain key context features and entail proportional reasoning, relative to their level of logical reasoning and their degree of field dependence/independence. Field-independent students tend to restructure and break stimuli into parts…

In order to promote critical thinking in young children, particularly children ages 5-8, teachers need to understand skills and dispositions of critical thinkers. This paper discusses these skills, dispositions, and the appropriate classroom climate, within the context of pedagogy, along with learning activities for kindergarten and primary…

The developmental increase in the ability to solve problems is a puzzle. Does it come from basic changes in mental skills, or is it a matter of practice? This book from the Developing Child series synthesizes recent research examining children's problem-solving skills development. Chapter 1 presents the major themes: (1) there is increasing…

This document contains the second volume of the proceedings of the 30th Annual Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 60 research reports by presenters with last names beginning between Abr…