Provides a detailed, technical introduction to the state of cognitive science research, in particular the rise of the "new cognitive science," especially artificial neural net (ANN) models. Explains one influential ANN model and describes diverse applications and their implications for education. (EV)

Discusses two models of the mind: the influential model of "mind as container," in which the mind is akin to a computer storing data; and a connectionist model, in which the brain does not actually store or contain knowledge in the sense traditionally believed. Discusses the second model's implications for education. (EV)

This paper gives a brief introduction to a discipline called the cognitive science of mathematics. The theoretical background of the arguments is based on embodied cognition and findings in cognitive linguistics. It discusses Mathematical Idea Analysis, a set of techniques for studying implicit structures in mathematics. Particular attention is…

This paper offers an argument for the return to a consideration of the basic issues in mathematics education research in order to better understand the mechanisms of mathematics learning. A return to these basic issues can also shed light on the difficulties students encounter in learning mathematics. In organizing the argument, three kinds of…

Addresses the question of what bearing the nature of educational theories has on their application to practice and focuses on the application of normative goal-directed theories of science education. Contains 40 references. (DDR)

In response to an article in the same issue by Norris and Kvernbekk, argues that the theory of Driver and associates, elaborated upon in the three articles which form the basis for their analysis, is not a normative goal-directed theory. (DDR)

Argues that although Gardner's conception of human cognition, characterized by a set of multiple and distinct cognitive capabilities, is an advance over the narrow conception of IQ, it runs into fundamental difficulties of a methodological kind and is based on a discredited empiricist theory of knowledge which work with artificial neural networks…

Replies to "The Theory of Multiple Intelligences: A Case of Missing Cognitive Matter," also in this issue. Disagrees about the role theory of knowledge plays in the context of justification of multiple intelligences. Specifically, asserts that the article's criticisms based on philosophy of science claims and work with artificial neural…

This paper focuses on some main distinctions that are necessary to analyze mathematical knowledge from a learning point of view and explain how many students come up against difficulties at each level of the curriculum. From a learning point of view, visualization cannot be used as an immediate and obvious support for understanding, even though it…

Interest in mathematics learning that focuses on understanding, mathematical reasoning, and meaning-making underscores the need to develop ways of analyzing classrooms that foster certain types of learning. The goal of this paper is to show that the constructs of social and sociomathematical norms, which grew out of taking a symbolic…

Educational research is distinctive inasmuch as it shares the moral objective of education, which is to help people make the best of themselves through processes of learning. Educational research is a service industry for education. As such, its contribution to the efficiency and effectiveness of educational processes can be increased by focusing…