New forms of mathematical knowledge are growing in importance for mathematics and education, including tacit knowledge, knowledge of particulars, language, and rhetoric in mathematics. Highlights the importance of attending to rhetoric and the range of rhetorical styles in school mathematics, and the need for explicit instruction in this area.…

Argues that the organization of cognitive structures for technical domains can be visualized as a network of connected thinkable models. Describes a taxonomy of models that has been developed and discusses the issue of how representations relate to human modes of perception and action. Contains 25 references. (DDR)

This paper suggests that the systems of representations that we use in mathematics have a cultural origin and concludes that the knowledge produced with the help of these systems of representation likewise has a cultural origin. This assertion forces a reformulation of the issue of objectivity in terms that differ from those inherited from…

Describes six divergent forms of constructivism in providing an overview of constructivist theory. Suggests a scheme for characterizing constructivist writing on the basis of its relative emphasis on personal versus social construction of knowledge, and objectivist versus relativist views of the nature of science. Contains 31 references. (DDR)

Argues that some forms of constructivism propose an epistemological idealism with a concomitant relativism, while other forms are explicitly opposed to such positions. Explains that all forms of constructivism are often presented as being relativistic. Contains 31 references. (DDR)

Examines central parts from the first two papers in this journal by Peter Slezak criticizing the "sociology of scientific knowledge". Considers some of the main philosophical issues raised by sociologists of science. Contains 87 references. (DDR)

Explores some speculative hypotheses on states of knowing and learning, and how these states and processes might be applied to artificial intelligence and expert systems development. (JKP)

Suggests that the study of memory needs to be situated within broader conceptual and research contexts. Examines how four contexts accommodate memory phenomena: (1) knowledge; (2) comprehension; (3) context/function; and (4) strategy. Suggests that memories are best examined as knowledge structures resulting from efforts to understand, and that…

Summarizes findings on infants' capacity for object segregation. Maintains that infants can use featural and experiential information for segregation and individuation purposes long before 12 months of age. Disputes the claim that formation of object categories awaits early word learning, but acknowledges that language may play a key role in…

This paper considers what physics can offer students, both as physics majors and in other sciences. The recent increases in the technological character of the workplace appear likely to continue, leading to increasing numbers of individuals who should learn something about science. For many of these people, understanding the character of science,…

Constructs the philosophical background and underpinnings of the Science Education Portfolio Instruction and Assessment (SEPIA) project. Explains that students must develop skills in order to participate in epistemic interchanges. They must also be provided opportunities and materials to develop those skills. Contains 29 references. (DDR)

Distinguishes between psychological constructivist and social constructivist groups. Explains the reasons for the growing acrimony in debates between the two groups. Discusses social constructivist accounts of the causes of belief in science. Contains 43 references. (DDR)

Hypermedia as a learning environment complements traditional instruction as it places the student at a higher level of control. Instead of "wait and see" what the teacher expects the student to learn next, hypermedia stimulates the student to become aware of his/her own cognitive needs and interests. This paper presents a combination of notions…

A cognitive or internal representation refers to an organized system of information which reflects certain, but not all, of the information about reality being represented. This paper considers various opinions, controversies, and debates about what representation is, how it comes about, and what forms of representation can be distinguished. The…

Argues that constructivist science education works with an unsatisfactory account of knowledge which affects both its account of the nature of science and of science education. Includes a brief survey of realism and anti-realism in science. Contains 42 references. (DDR)