Ways in which the standards of problem solving, communication, reasoning, and connections can be incorporated into the elementary geometry curriculum are identified. Visualization of figures, conservation of area, shape and space, and multicultural study are discussed. (KR)

This article describes geometry-oriented problem-solving tasks that can encourage students to develop a positive attitude toward mathematics. The tasks concern working with polyominoes, two-dimensional shapes that consist of squares joined fully at the edges. (Contains 7 figures.)

This article describes the use of commercial games in mathematics to help teach algebraic reasoning, spatial sense, and multistep problem solving. It also provides a description of how one teacher implemented the use of games.

Finite mixture models are well known to have poorly behaved likelihood functions featuring singularities and multiple optima. Growth mixture models may suffer from fewer of these problems, potentially benefiting from the structure imposed on the estimated class means and covariances by the specified growth model. As demonstrated here, however,…

Recent theoretical developments in cognitive psychology imply both a need and a possibility for methodological development. In particular, the theory of problem solving proposed by Allen Newell and Herbert A. Simon (1972) provides the rationale for a new empirical method for the processing of think-aloud protocols--trace analysis. A detailed…

Describes three microcomputer programs that allow geology students to deform two-dimensional images on a computer screen and then to measure changes in angular relationships. Two of the programs simulate pure and simple shear and the third simulates variations in shear strain that occur in shear zones. (ML)

Relations among aptitude, spatial task solution strategy, and task performance were explored through mathematical models of performance latency. Different models fit different subjects on each of three task steps (encoding, synthesis, and comparison), suggesting that different subjects used different strategies for solving the same items. Aptitude…

Investigates the relationship between the strategies used by preservice elementary teachers in geometric problem solving and two primary mental abilities--spatial visualization and formal reasoning. Reports that the two abilities were related to problem-solving performance, and the strategies used were related to achievement in the geometry…

Two experiments were conducted with graduate students to test hypotheses regarding the effectiveness of diagrams in which concepts were shown spatially. Response latencies were compared for problems applying kinship rules to information presented in family trees and in lists of statements, and the use of rules to compute responses was examined.…

Background: The executive functions of inhibition, planning, flexible shifting of actions, and working memory are commonly reported to be impaired in neurodevelopmental disorders. Method: We compared these abilities in children (8?12 years) with high functioning autism (HFA, n = 17), attention deficit-hyperactivity disorder (ADHD, n = 21) and…

The purpose of this study was to characterize the prior conceptions of molecular structure that organic chemistry students expressed as they learned to interpret nuclear magnetic resonance spectra, and to describe the problem-solving strategies that students employ as they determine molecular structure. The two questions that frame this study…

The premise of the Creative Technology Project, a collaboration by Autodesk, Inc., the School of Education at Oregon State University, and Novato Unified School District in the San Francisco Bay Area, was that children's cognitive abilities could be enhanced by having them develop, displace, transform, and interact with 2D and 3D…

The effect of computer-assisted instruction on spatial problem solving skills was examined in this study. Subjects were fifth grade students from nine classes, who were divided into three treatment groups in a nonrandom fashion: (1) computer-assisted group, which used computer software designed to help students improve spatial problem solving…

Science is suggested as an excellent content area for teaching primary students the creative and critical thinking skills that can help them become better problem solvers. J. P. Guilford's Structure of Intellect model and Benjamin Bloom's Taxonomy of Educational Objectives serve as the basis for developing exercises which lead to improvement of…

Preliminary work by Theresa McMillen and George Bodner has shown significant correlations between level of spatial visualization and orientation ability and success in a chemistry course designed for science and engineering majors. This study is an in-depth replication of McMillen's work with approximately 1600 science and engineering majors…