This paper presents an instructional model for thinking skills and discusses implementing the model. Based on a unitary theory of human cognition and some basic assumptions about the conditions for successfully intervening in public education, the model can be implemented at any grade level within any instructional framework. Currently used models…

This document contains 53 plenary and contributed papers presented at the eighth Psychology of Mathematics Education (PME) meeting. Two plenary addresses focused on mathematics research in Australia and Japan, and problem solving and symbolism. Contributed papers were classified under 13 headings including: teaching and learning theory; cognition;…

While problem-based learning (PBL) has a relatively long history of successful use in medical and pre-professional schools, it has yet to be widely adopted by K--12 teachers. This may be due, in part, to the numerous challenges teachers experience when implementing PBL. In this paper, we describe specific hurdles that teachers are likely to…

The purpose of this study was to empirically test a set of predictions implied by the Model of Conceptual Learning and Development using the concept of cutting tool. Four subtests were developed to assess a subject's ability to perform at each of four successive levels of concept attainment (concrete, identity, classificatory and formal). In…

Within a setting of dynamic rather than static knowledge, the academic structuring of disciplines begins to lose meaning. Interdisciplinary courses are one result of this perception of knowledge. A polydisciplinary approach, however, would be a more accurate construct of reality. Given the following four aspects of a polydisciplinary approach to…

This annotated bibliography lists publications of the Wisconsin Cognitive Learning program components, materials printed for the various curriculum projects, materials sold through the center document service, and materials published for the completed projects. Within each component or project grouping, the research publications are alphabetically…

This paper details one young woman's journey in a 16-week mathematics content course for pre-service teachers. It analyzes her initial efforts at problem solving in groups, and her ability to see and recall explicitly connections that were inherent in the instructor's conceptions of the problems. Using her writing during the course, the paper…

Discusses the use of analogies and other instructional strategies (problem solving, demonstration, group labs, and large group discussion) in dealing with students' preconceptions in physics. (PR)

Reports an example of one lesson from a sequence of lessons on fractions from a sixth grade class in which the teacher revises her plans after observing students' small-group work and interactions. The lesson illustrated the teacher's knowledge of mathematics, how students think, and how to observe that thinking. (MDH)

In college courses in statistics and computer programing, learning can be enhanced when students are required to express formulas and notations in writing. This approach helps improve concept formation, comprehension, problem solving, and ability to draw conclusions and interpretations. Attention to syntax and form is important. (MSE)

Argues that critical thinking is best learned where fellow students respond and react as well as replicate and evaluate. Suggests methods and techniques for doing critical thinking. Discusses thesis formulation, concept application, judgments and conclusions, cause and effect relationships, criteria identification, structure and function,…

Mapping Our City is a two-year project in which middle school teachers and students in Boston explore the uses of Geographic Information Systems (GIS) in project-based science, environmental education, and geography. The project is funded by the National Science Foundation and is being field tested in three Boston middle school science classrooms.…

This book is a collection of essays forming a mosaic of theory, research, and practice directed at the task of spreading mathematical knowledge based on the learning theory of constructivism. The authors collectively address questions raised by the observation that current practice frequently generate in the student an aversion to mathematics.…

The existence, before any formal physics instruction, of schemata which lead to an idiosyncratic interpretation of real world events, which physicists see as exemplifying principles of physics, is now well established. Because these interpretations are often at variance with physicists' interpretations, they have been labeled, among others,…

Project ARCHIMEDES was designed in cooperation with local teachers to enhance concept understanding of teachers of physics and physical sciences, to increase use of electronics and computers in the classroom, and to introduce research on students' misconceptions in physics, teaching methods for identifying and remediating misconceptions, and ways…