This paper contains the comments of a discussant reviewing the paper, "The Role of Visual Representations in the Learning of Mathematics" (Abraham Arcavi). A research-based evaluation is made that focuses on the ideas of stochastics and the epistemological triangle. (Contains 28 references.) (DDR)

Discusses the results of a study that explored first year university students' ideas about measurement in the physics laboratory. Uses the 'point' and 'set' paradigms as a model to analyze responses to written probes. (Contains 21 references.) (DDR)

This essay is based on observation and interpretation of the mathematical language of children while they engage in situations involving fractional numbers. This interpretation includes the consideration of various levels of language use, informal metamorphic and metonymic uses of fractional number language, and the interplay between language use…

As biological and socio-cultural beings, humans are encouraged and aspire to "see" not only what comes "within sight," but also what is not possible to see. Visualization is described as offering a method of seeing the unseen. These ideas are organized into sections that focus on seeing the unseen in data, seeing the unseen in…

Transfer of training in the construction and use of knowledge maps to text comprehension was investigated. Knowledge maps (k-maps) are spatial/verbal arrays that represent information in the form of node-link diagrams. K-maps make the macrostructure of a body of information more easily available to the learner. Because k-maps emphasize…

Provides information about hypnosis. Uses research data to define hypnosis, discuss the relationship between hypnosis and memory, and present some possible benefits. Includes a chart with some common misconceptions about hypnosis and the corresponding true statement. (DDR)

Examines third year university physics students' use of models when explaining familiar phenomena involving interaction between metals and electromagnetic radiation. Concludes that few students use a single model consistently. (Contains 27 references.) (DDR)

SCALE-UP is an extension of the highly successful IMPEC (Integrated Math, Physics, Engineering, and Chemistry) project, one of North Carolina State's curricular reform efforts undertaken as part of the SUCCEED coalition. The authors utilize the interactive, collaboratively based instruction that worked well in smaller class settings and find ways…

This paper suggests that the systems of representations that we use in mathematics have a cultural origin and concludes that the knowledge produced with the help of these systems of representation likewise has a cultural origin. This assertion forces a reformulation of the issue of objectivity in terms that differ from those inherited from…

Reports on the field of experimental economics and speculates about why we value fairness and cooperation over the seemingly more rational selfishness. Illustrates a typical decision making situation using the Ultimatum game. (DDR)

Presents a series of standard demonstrations as examples of activities that can be used to introduce multiple concepts and tie different sections of an introductory physics course together. Contributes to changes in classroom dynamics by stimulating student engagement and encouraging inclusivity. (Contains 23 references.) (DDR)

Describes six divergent forms of constructivism in providing an overview of constructivist theory. Suggests a scheme for characterizing constructivist writing on the basis of its relative emphasis on personal versus social construction of knowledge, and objectivist versus relativist views of the nature of science. Contains 31 references. (DDR)

Examines quantitative models in school physics, looking particularly at the degree to which they match the real world. Explores the positive aspects of a mismatch between models and real world conditions. (DDR)

Identifies middle school and college students' prior ideas about electrostatic induction. Presented students with observational evidence that supported or refuted their own prior ideas in an interview format. Concludes that the Lakatosian rather than the Popperian view is more acceptable in understanding students' responses to conflicting…

This paper considers what physics can offer students, both as physics majors and in other sciences. The recent increases in the technological character of the workplace appear likely to continue, leading to increasing numbers of individuals who should learn something about science. For many of these people, understanding the character of science,…