Undergraduate students study the topic of binomial series expansion as part of their Calculus course. The purpose of this study was to explore the mental constructions of binomial series expansion of a class of 159 students. Data were collected through a written assessment task by each member of the class. A convenient sample of eleven students…

This paper draws attention to the literature in the areas of learning, specifically, constructivism, conceptual change and cognitive development. It emphasizes the contribution of such research to our understanding of the learning process. This literature provides guidelines for teachers, at all levels, in their attempt to have their students…

Three studies of how workers construct knowledge associated with vocational practice were examined within a framework classifying dispositions as interest, attitudes, and values. Findings suggest that dispositions are rooted in individual history and participation in communities of practice and that consideration of how cognitive structures…

This conceptual framework is grounded in the data analysis of transcribed interviews with 50 Ontario teachers and the text of a 7-month online discussion group among 25 principals from England, Ireland, Canada, United States, Australia, and New Zealand. Both methods were employed with the stated purpose of understanding emotional experiences of…

Randomly selected high school students (n=13) who studied an ecology unit were interviewed, and narrative data analyzed for changes in knowledge schema. Data support the current theory that the amount and quality of prior knowledge substantially influence gains in new knowledge and are closely linked to a capacity to apply higher-order cognitive…

The demise of the behaviorist paradigm and the rise of the social, cognitive, and interactionist models of second language acquisition (SLA) have led to the understanding that constructivist mechanisms are part of the process. Given the variety of empirical findings and understandings research in the field has yielded, this study attempts to offer…

Method is presented for displaying the sequential and multirelational ideation of scientific narrative elicited from respondents. The flow map provides a figural representation of the flow of information, the points in the flow where multirelational and recurrent linkages are made, and the time required to retrieve and express the information at…

Describes the Novice-Expert (Novex) Analysis, a nine-step approach to instructional design aimed at effecting the shift from novice to expert by creating a series of learning activities to enable novices to construct an expert knowledge base. The "Dimensions of Processing Model" diagram illustrates how learning processes influence…

Assessed the impact of elementary science experiences on the development of sixth-graders' epistemological views. Found that, compared to students in a traditional science classroom, those in a constructivist classroom developed an epistemological stance toward science that focused on the central role of ideas in the knowledge acquisition process.…

The main purpose of this study was to explore the effects of long-term constructivist-oriented science instruction on elementary school students' process of constructing cognitive structures. Furthermore, such effects on different science achievers were also investigated. The subjects of this study were 69 fifth graders in Taiwan, while they were…

This conference paper describes methodological tools being used to examine teachers' cognitive lives and to describe the meaning that teachers make of teaching, learning, and students in classrooms. Methodological difficulties with the "subsequent recall" approach and the "stimulation of current thought" approach are discussed. A set of techniques…

Examined 8- and 10-year olds' understanding of the unique features of and potential relations among mental activities. Found a developing tendency to organize mental activities on the degree to which memory was a component of the activity. Results suggest that a constructivist theory of mind develops in later childhood. (AA)

In the literature, learners' cognitive development is mainly discussed with respect to changes in learners' content-dependent knowledge (conceptual change or growth). Additional dimensions of time and complexity may also be taken into account to describe cognitive processes in at least three dimensions. We discuss these three dimensions of…

This study examines the construct of problem representation and the processes used by learners to construct or modify problem representations in problem-solving situations. Students (n=14) from freshman calculus courses at the University of California at San Diego participated in videotaped interviews in which they were asked to think aloud as…

Learning differences or disabilities can be best understood and addressed within the holistic/constructivist theory of knowledge construction and the reciprocal evolution of cognitive structures. Learning differences manifest themselves in the spirals of mental structuring activity that guide relational thinking. Such a perspective focuses on…