Derives two sufficient conditions for a finitely generated Lie algebra to have the nilpotent hypercenter. Presents a relatively large class of generalized soluble Lie algebras. Proves that if a finitely generated Lie algebra has a nilpotent maximal subalgebra, the Fitting radical is nilpotent. (DDR)

This study examined gender-related issues in four Canadian and Asian education systems based on algebra and geometry achievement data. Results suggested that each system affected the academic achievement of males and females in similar ways, although one gender might be affected more seriously than the other. (SM)

Examines curriculum and achievement in the United States and Japan in seventh and eighth grade algebra and twelfth grade elementary functions and calculus using data from the Second International Mathematics Study (SIMS). Results suggest that U.S. curricula do not match the SIMS as well as do Japanese curricula. (SLD)

Examines seventh and eighth grade students in Australia, Japan, and the United States for attitudes related to mathematics, and the relationship these attitudes have to students' development of abstract mathematical thought and spatial relations. Study uses the Iowa Algebra Aptitude Test, Differential Aptitude Test-Spatial Relations, and the…

This study examined the generalizability and dependability of a performance-based assessment in algebra. Four forms of a five-item test were constructed using different subsets of eight items based on attributes from task analysis. Subjects included 142 "algebra 2" students from 2 high schools in the Midwestern United States and 148 11th…

This teaching module with its 80-minute videotape of lessons from U.S., Japanese, and German classrooms is designed to help moderators facilitate discussion among educators. This guide is intended to help moderators make appropriate decisions about sessions and suggest items to consider when discussing the Third International Mathematics and…

The purpose of a seminar attended by mathematics educators from the United States and Japan was to explore ways that use of technology in teaching problem solving can improve student learning. The following presentations were made: (1) "A Report of U.S.-Japan Cross-cultural Research on Students' Problem-Solving Behavior," (T. Miwa and T.…

Investigates different approaches of students from different cultures to problems and problem-solving strategies. Suggests ways to encourage students to use algebraic strategies. Provides some action research ideas for teachers to try in their classrooms. Contains 11 references. (ASK)