Argues that mathematical learning should be viewed as a process of active individual construction and a process of enculturation into the mathematical practices of wider society. It further argues that the sociocultural perspective theorizes the conditions for the possibility of learning, whereas constructivist perspectives focus on what students…

Comments on four articles in a special issue of the Journal of the Learning Sciences on methodology in learning sciences. Analyzes the articles within a general model seeking to analyze human activity across multiple time scales. (Author/MM)

Presents a view of the interplay among the various factors of personal experience, language, and socialization in the process of learning science in classrooms. Discusses the problematic relations among scientific knowledge, the learning of science, and pedagogy. (GLR)

Describes the provenance of the data used in this issue. Includes design of the instructional sequence, instructional activities, classroom structure, and classroom episodes. (Author/MM)

Memory-based and constructionist processes have both been proposed as essential components of the activation of concepts (e.g., propositions) and the establishment of meaningful connections between concepts during reading. In this article, we argue that a comprehensive theory of reading comprehension should include both sets of processes. In…

Although teachers may sequence instructions carefully, they are unable to respond to the complex unique experience of each individual learner. Divergent production should be an instructional choice that enables individuals to learn through their own recall and idea construction. Learning is problem solving; when individuals do not know how to deal…

Describes the history of five selected problems from mathematics that are included in an undergraduate honors course designed to utilize original sources for demonstrating the evolution of ideas developed in solving these problems: area and the definite integral, the beginnings of set theory, solutions of algebraic equations, Fermat's last…

The term, "schema," used largely as a descriptive convenience rather than a theoretical guidepost in social psychology is examined through an analysis of its development, function, and structure. This paper articulates a model of schema development in adults by defining a schema as a representation of some stimulus domain and a set of…

Considers the role of evolution and natural selection in the functioning of the modern human brain. Natural selection equipped humans with a mental toolbox of intuitive theories about the world which were used to master rocks, tools, plants, animals, and one another. The same toolbox is used today to master the intellectual challenges of modern…

The difficulties and misconceptions that many students experience when learning to visualize graphs of functions are discussed. Specifically, the inability to make accurate connections between symbolic and graphical representations, the lack of understanding about scale and scaling, and the confusion caused by transformations are examined with…

Argues that by examining which concepts of a particular area of physics are fundamental and which are defined, teachers can choose concepts for investigation that progress logically and should minimize students' misconceptions and confusion. (Author)

A general model of conceptual change which is largely derived from current philosophy of science, but which can illuminate learning as well, is described. Some features of this model are illustrated by interviews with students studying special relativity in physics. Finally, some pedagogical implications are presented. (Author/PB)

This paper outlines four principles for preparing multimedia instructional sequences and, where necessary, the experimental methods for applying the principles successfully. Covered first are the criteria for good terminology for unfamiliar objects, actions, and situations, with methods for deriving such terminology. In the next section guidelines…