We examine whether the array representation can support children's understanding and reasoning in multiplication. To begin, we define what we mean by understanding and reasoning. We adopt a "representational-reasoning" model of understanding, where understanding is seen as connections being made between mental representations of concepts, with…

The field of Artificial Intelligence (AI) and Education has traditionally a technology-based focus, looking at the ways in which AI can be used in building intelligent educational software. In addition AI can also provide an excellent methodology for learning and reasoning from the human experiences. This paper presents the potential role of AI in…

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…

Reviews Dreyfus's writings about human cognition and artificial intelligence (AI), and explains some of the implications of his position, particularly in education. Topics include Dreyfus' critique of AI, representationlaism and expertise, technology and its role in instruction, computer-assisted instruction, and intelligent tutoring systems. (JKP)

This paper reports on the evaluation of an 11-week curriculum created to foster seventh grade students' understanding of scientific modeling. In the curriculum, students engaged in model-oriented activities such as creating non-Newtonian computer microworlds to embody their conceptual models, evaluating their models with criteria, and reflecting…

Describes an experimental computer program that attempts to simulate a choreographers' knowledge and expertise. The user expresses a set of rules that describe some of the dynamic aspects of a dance. These rules are applied nondeterministically by a "rule driver" program. The rule driver embodies a heuristic algorithm. (MJP)