Standard approaches to thinking in the mathematics curriculum depict it as the result of some stable constructions in the mind of the person, constructions that are the results of individual efforts in the mind of subjects or of collective efforts that are then appropriated by and into the mind of individuals. Such work does not appreciate what…

Inscriptions are central to the practice of science. Previous studies showed, however, that preservice teachers even those with undergraduate degrees in science, generally do not spontaneously produce inscriptions that economically summarize large amounts of data. This study was designed to investigate the production of inscription while a group…

Several types of physics activities that use real-world problems to motivate learners, use computers to assist in developing conceptual understandings, connect problem situations to mathematical models, and use the models to analyze other real-world problems are presented. The topics of racing sports, sailing, and damped harmonic oscillations are…