Described and critiqued are two ideas which have proven valuable in teaching programming at the introductory level, the mental model and the programming plan. (PK)

Advanced is the hypothesis that students organize their beliefs about mathematics to resolve problems that are primarily social rather than mathematical in origin. The contextuality of cognition, meaning-making, and learning in interactive situations are each discussed. (MNS)

This book introduces journal-writing prompts in mathematics for Algebra I. Content prompts, attitudinal or affective prompts, and process prompts are presented. Each of the content prompts relates or connects topics within and outside of mathematics, targeting important or meaningful concepts and skills. The content prompts also provide situations…

This book introduces journal-writing prompts in mathematics for geometry. Content prompts, attitudinal or affective prompts, and process prompts are presented. Each of the content prompts relates or connects topics within and outside of mathematics, targeting important or meaningful concepts and skills. The content prompts also provide situations…

Implications are that increasing a child's ability to think in terms of alternative solutions to real-life problems could supplement a primary preventive mental health program. (Authors)

Demonstrated is a covariance principle that causes the observer to assume that if one aspect of a two-dimensional figure (its perimeter or its area) is conserved, the other aspect must also be conserved (pseudo-conservation). Mentally retarded individuals, assuming no such fixed relationship, correctly judged the changed state of the nonconserved…

Three experiments with small samples of elementary school students were conducted to: (1) investigate the impact of syntactic complexity on analytic assistance; (2) extend the research on analytic assistance to younger subjects; and (3) determine the relative importance of analytic assistance when compared to an example-only comparison group.…

Proposes a categorization scheme based on instructional design theory and empirical findings for employing various types of graphic/visual displays under specified conditions. (Author/CHC)

Proposed is a new method for analyzing how concepts are used in the process of problem solving in science. Through the use of a "thinking aloud" interview technique, 21 tenth-grade students worked with a problem concerning the boiling point of water at the Dead Sea. Interview protocols were analyzed to develop students' concept profiles.…

Presents the text of a message sent to Susan Gerofsky by Robert Thomas after reading her article on a linguistic and narrative view of word problems in mathematics education. Gerofsky's response is also included. (DDR)

Considers the role of evolution and natural selection in the functioning of the modern human brain. Natural selection equipped humans with a mental toolbox of intuitive theories about the world which were used to master rocks, tools, plants, animals, and one another. The same toolbox is used today to master the intellectual challenges of modern…

Describes a game used in precalculus that builds interest and confidence in the uses of inverse functions. The game is preceded by a worksheet that enables students to discover that f(x) and f-1(x) are mirror images of the line y=x. (DDR)

Presents an activity that provides a way to cover the complex topic of mass spectrometry and connects with a discussion of the 2002 Nobel Prize in chemistry. (DDR)

Shares perspectives on what is happening at the national level in science education reform, why reform is needed, and the role that environmental education can play in this reform effort. Contains a discussion of the recent changes in science content and instructional goals. (DDR)

Addresses the problem of relating distance and scale by way of alternative models of perception taken from the history of science. Makes specific suggestions to broaden the scientifically-based actual activity zone of students. (Contains 19 references.) (DDR)