Examines the place of mental models in the process of knowledge construction, particularly by the relationship between mental models and computer models in that process. Analyzes and discusses children's use of spreadsheets to build their own computer models. Suggests that the process of building models on a computer may provide direct support to…

This review presents a framework that accommodates static and dynamic approaches to comprehension of students' transfer of knowledge and skill. The review focuses on three sets of variables considered fundamental to students' ability to access intellectual resources in potentially relevant situations: knowledge bases, strategies, and dispositions.…

In two parallel one-year studies, solution strategies for subtraction number facts and achievement patterns of matched groups of first graders in two different instructional programs were examined. Significant differences between groups were found favoring the strategy approach. (Author/CW)

Investigated was the learning of the mathematical uses of "more,""fewer," and "less" at a very early stage in the development of ideas. (CW)

An understanding of fraction addition can be thought to involve two quantitative ideas: (1) the understanding that adding to an original quantity increases its size, and (2) a sense of how much increase occurs. Both of these ideas should underlie or inform a child's approach to problems involving fraction addition and thereby constrain the class…

Research suggests that preservice teachers who have organized knowledge structures are able to respond to instructional situations more effectively than those who do not. It appears that the way a teacher organizes knowledge influences how easily the information is accessed and applied in instructional situations. This study investigated the…

Describes how discrepant events can be employed as a viable teaching strategy. Reviews the theory of cognitive dissonance and provides examples and approaches in its resolution. Offers samples of discrepancy events and unexpected situations. (ML)

Investigates fifth-grade students' conceptual changes toward the greenhouse effect and global warming due to sociocognitive interaction developed in small and large group discussion in an authentic classroom context during an environmental education unit. Classroom discussions led the children to integrate new scientific knowledge into their…

Multidimensional knowledge structures, described from a constructivist perspective and aligned with the "Mind as Rhizome" metaphor, provide support for constructivist learning strategies. This qualitative study was conducted to seek empirical support for a description of multidimensional knowledge structures, focusing on the…

Learning to teach mathematics for understanding is not easy. First, practice itself is complex. Second, many teachers' traditional experiences with and orientations to mathematics and its pedagogy are additional hindrances. This paper examines teaching practices and reviews some of what is known about prospective and experienced elementary…

This article considers relatively neglected resources for the "bootstrapping" of cognitive growth, including chance plus selection, the affective boosting of relevant schemas, the operation of innate biases, and use of spare mental capacity. Implications for educational research are illustrated with reference to recent work on the…

This paper describes the BUD project which surveyed childrens' conceptions of division, and of fractions and decimals. The lack of connection between counting skills and conceptual understanding is discussed. The expectations for new algorithms and the basic idea in planning the BUD project are summarized. Some previous studies on counting, the…

This study develops and employs the construct, personal orientation to science learning, to study the processes by which children construct meaning as they learn science in school. The theoretical bases of the thesis are the commitments of a constructivist view of learning and the psychological framework of George Kelly's Personal Construct…

Defines a generalization as "a descriptive statement of broad application indicating a relationship between two or more concepts." Argues that successful teaching about generalizations can only occur when students understand the relationship between concepts and facts. Discusses four issues and four approaches related to teaching…

It is generally accepted that mathematical reasoning, like language acquisition, is part of normal cognitive development. This paper proposes that other variables must be considered when explaining the differences in the acquisition of mathematical reasoning skills in young children. Considered is some of the evidence that suggests that certain…