Compares exam scores in a pharmacy calculations course of 55 students in a traditional lecture format and 55 in computer-assisted instruction (CAI). Scores were similar before separation into groups and after six weeks of instruction by either method. The CAI program was easy to use and well received by students, and this group spent less time…

Provides information on the number sense of Taiwanese students in grades six and eight. Indicates that student performance on questions requiring written computation was significantly better than on similar questions relying on number sense. Supports the need to look beyond correct answers when computational test results are reported. Contains 29…

A study explored two distinct methods of calculating a precise measure of gender-based wage differentials among college faculty. The first estimation considered wage differences using a formula based on human capital; the second included compensation for past discriminatory practices. Both measures were used to predict three specific aspects of…

An experimental group (n=13) and a control group (n=15) of children with mental retardation were both shown a basic concrete counting procedure. Over six months, the experimental group was given regular opportunities to practice computing sums. Many of them invented calculational short cuts. Results suggest that children with mental retardation…

Analysis of attitude and use questionnaires completed by undergraduates (n1,444) at Wake Forest University determined that computers were used most frequently for word processing. Other uses were e-mail for task and non-task activities and mathematical and statistical computation. Results suggest that the level of computer use was related to…

Presents standards-based activities that include learning about an electronic card catalog by playing card games; learning to count and to recognize numerical sets by identifying real-life sets (e.g., items in the building or on the playground); and learning about estimation and spatial sense using students and a digital camera. (SM)

A classroom activity analyzes the mathematics found in Shipwreck at the Bottom of the World, the true story of Ernest Shackleton and the 27-man crew who all survived a shipwreck at the South Pole. (Contains 3 figures.)

Many common objects can provide numerous opportunities for students to develop mathematical concepts and skills. The lesson described in this article provided an excellent opportunity for middle school students to discover how real-life situations do not always present obvious "right" answers. As students explored a question related to the…

This article describes a unit of instruction designed to promote a conceptual understanding of area in sixth-grade students. Students used benchmarks to estimate the areas of real houses and calculated the areas of houses based on building plans. (Contains 7 figures.)

This article describes an innovative lesson that uses the biography "Barbara McClintock: Alone in her Field" (Heiligman, 1994) to integrate genetics, literature, and mathematics as a context for students to investigate patterns on Indian corn. This two-day lesson requires students to estimate, collect data, identify and describe patterns,…

This article discusses relationships between the development of an understanding of algorithms and algebraic thinking. It also provides some sample activities for middle school teachers of mathematics to help promote students' algebraic thinking. (Contains 11 figures.)

Eighty college students read textbook passages that either included marginal inserts to signal key concepts or did not include these inserts. Signaling key concepts enhanced performance on content quizzes overall and on subsets of items assessing signaled material. Performance was not affected on subsets of items for nonsignaled content. Students…

This study investigates item parameter recovery, standard error estimates, and fit statistics yielded by the WINSTEPS program under the Rasch model and the rating scale model through Monte Carlo simulations. The independent variables were item response model, test length, and sample size. WINSTEPS yielded practically unbiased estimates for the…

Computer algebra methods based on results of commutative algebra like Groebner bases of ideals and elimination of variables make it possible to solve complex, elementary and non elementary problems of geometry, which are difficult to solve using a classical approach. Computer algebra methods permit the proof of geometric theorems, automatic…

The paper's aim is to note a remarkable (and apparently unknown) relation for right triangles, its generalisation to arbitrary triangles and the possibility to derive these and some related relations by elimination using Groebner basis computations with a modern computer algebra system. (Contains 9 figures.)