We investigate the hypothesis that our conceptual systems provide two formally distinct ways of representing categories by investigating the manner in which lexical nominals (e.g., "tree," "picnic table") and phrasal nominals (e.g., "black bird," "birds that like rice") are interpreted. Four experiments found that lexical nominals may be mapped…

Concept image and concept definition is an important construct in mathematics education. Its use, however, has been limited to cognitive studies. This article revisits concept image in the context of research on undergraduate students' understanding of the derivative which regards the context of learning as paramount. The literature, mainly on…

Cognitive development is driven by experience, but is mediated by domain general processes, which include learning, induction, and analogy. The concepts children understand, and the strategies they develop based on that understanding, depend on the complexity of the representation they can construct. Conceptual complexity can be defined in terms…

A longitudinal study examined the role of a mapping system in 2-year olds' learning of color and size words. Results indicated that the children acquired color maps in a characteristic order and showed a different acquisition pattern for size words. Results suggest that learning word associations may promote color-word acquisition; learning color…

This paper describes a computer-simulation model of the way in which basic reasoning processes develop in children. The model, based on PRISM-II programming language, was designed to reflect the manner in which world knowledge can be used to construct strategies for reasoning. The model learns strategies for performing transitive inference by…

Reviews several books that seek to explain what some of the structures of meaning are that stories present to readers and feed into their memories. (HOD)

Given the current and widespread practical interest in mathematical understanding, particularly with respect to higher order thinking skills, curriculum reform advocates in many countries cite the need for teaching mathematics with understanding. However, the characterization of understanding in ways that highlight its growth, as well as the…

Examining how students reconstruct stories they've heard can give insights into why students often have difficulty understanding and retaining mathematics. Behavioral psychologists refer to the phenomenon of piecing together a series of events as "chaining." This paper argues that the cognitive capacity to reconstruct a whole contextual…

Illustrates how one can discover structure in mental abilities where none was obvious. Reports that two classes of processes are used to form images. Indicates that imagery is carried out by multiple processes, not all of which are implemented equally effectively in the same part of the brain. (RT)

Discusses (1) the need for teachers to understand student conceptions; (2) alternative conceptions that students formulate; (3) changing conceptions; (4) representing conceptual knowledge for studying conceptual change; (5) strategies for inducing change; and (6) a taxonomy of conceptual change. (Contains 61 references.) (MDH)

Discusses a study of students' conceptualizations and misconceptions of how objects sink and float. Results showed little difference in the levels of understanding of the "sink and float" concepts by groups ranging from primary age to college. As age increased, terminology used by students varied, and misuse of terms increased. (TW)

Given the current and widespread practical interest in mathematical understanding, particularly with respect to higher order thinking skills, curriculum reform advocates in many countries cite the need for teaching mathematics with understanding. However, the characterization of understanding in ways that highlight its growth, as well as the…

Maintains that student-centered curriculum embodies the progressive and constructivist principles of active, participatory learning. Advocates emphasizing the importance of context as part of a constructivist approach. Includes instructional examples of connecting contextual information about artworks to constructivist activities. (MJP)