From a theoretical viewpoint, educational interfaces that facilitate communicative actions involving representations central to a domain can maximize students' effort associated with constructing new schemas. In addition, interfaces that minimize working memory demands due to the interface per se, for example by mimicking existing non-digital work…

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…

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 proposes a methodology to calculate both the difficulty of the basic problems and the difficulty of solving a problem. The method to calculate the difficulty of problem is according to the process of constructing a problem, including Concept Selection, Unknown Designation, and Proposition Construction. Some necessary measures observed…

This study of physics problem-solving identifies reasoning mechanisms that enable the problem-solver to achieve the transformation to a physics structure of the problem situation. Elaboration is explored as a mechanism in fulfilling this transformation by providing beginning problem-solvers with elaborations that they failed to infer. A card…

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…

This paper examines students' mathematics learning in a social context as two versions of an instructional sequence designed to facilitate students' development of a conceptual foundation for place-value numeration are enacted in two third grade classrooms. The same instructional sequence is used in each classroom with the regular classroom…