The 21 essays in this two-part book provide conceptual and operational understanding of the nature of models as representations of reality and as tools for description, analysis, interpretation, and forecasting. Topic areas addressed in part 1 (concept) include: the nature of models; the earth as a system; the determination of form; some…

An interdisciplinary course in problem solving, entitled "patterns of problem solving," and its unique peer program offered at the University of California, Los Angeles, are described. The emphasis in the subject matter and approach is to expose the student to the wide range of alternative problem solving techniques and to enable the…

This article introduces Model-Eliciting Activities (MEAs) as a form of case study team problem-solving. MEA design focuses on eliciting from students conceptual models that they iteratively revise in problem-solving. Though developed by mathematics education researchers to study the evolution of mathematical problem-solving expertise in middle…

This study analyzed the processes used by students when engaged in modeling activities and examined how students' abilities to solve modeling problems changed over time. Two student populations, one experimental and one control group, participated in the study. To examine students' modeling processes, the experimental group participated in an…

During the last few decades, the author and his colleagues have developed an instructional framework for infusing thinking into content instruction in every subject and at every grade level. In thinking-based learning, teachers explicitly teach students thinking strategies and important habits of mind and then give students opportunities to apply…

Age-related changes in the use of verbal processes for the efficient switching between tasks were investigated in 5-year-old children (N = 32, M age = 5.9 years) and 9-year-old children (N = 32, M age = 9.4 years). Task switching was assessed by means of a cued switching paradigm to examine two switching components: (a) to maintain and select and…

Effective teaching should focus on representational change, which is fundamental to learning and education, rather than conceptual change, which involves transformation of theories in science rather than the gradual building of knowledge that occurs in students. This article addresses the question about how to develop more efficient strategies for…

Empirical data suggest that there is at most a very small sex difference in general mental ability, but men clearly perform better on visuospatial tasks while women clearly perform better on tests of verbal usage and perceptual speed. In this study, we integrated these overall findings with predictions based on the Verbal-Perceptual-Rotation (VPR)…

In an effort to present important research results in readable form for elementary and secondary teachers of mathematics, this publication reviews a model and ways of effectively teaching mathematics. The model of instruction proposed by Good and Grouws is based on teacher-centered whole class instruction. Perspectives and guidance are offered in…

Evaluation is an act of persuasion directed to a specific audience concerning the solution of a problem. The process of evaluation is prescribed by the nature of knowledge--which is generally complex, always uncertain (in varying degrees), and not always propositional--and by the nature of logic, which is always selective. In the process of…

Math-education reformers encourage the incorporation of mathematical modeling activities into K-12 curricula. Many of the purported educational benefits derive from the authenticity of the activities-how well they reflect the everyday and occupational mathematical practices of adults. But a paucity in the literature of observational descriptions…

This paper describes the characteristics of graphic techniques, such as networks, pattern notes, semantic maps, and graphic organizers, that can be used to acquire knowledge of relationships between concepts in a content area. The implications for research and instructional design are considered, and nine types of these techniques are described…

Three models have been proposed to account for the relationship between the principle of commutativity and the development of more economical addition strategies, which disregard addend order. In the first and second models, it has been proposed that either discovery or assumption of commutativity is a necessary condition for the invention of…

A simulation model for use in library professional continuing education is described. (PF)

This paper attempted to resolve major methodological and design inadequacies associated with encounter, T-, and sensitivity groups. In addition, it highlighted some issues that have not been sufficiently considered previously. (Author/RK)