This is a condensed report of a study commissioned by the Minister's Advisory Committee on Student Achievement (MACOSA). The study was designed to provide information about current levels of achievement in mathematics among students in Alberta schools and to provide a data base for future assessments. The test was given to third-, sixth-, ninth-,…

A test of problem solving behavior which provides information about the mastery of the prerequisites of the problems has been developed for fourth grade children. Each problem solving question is preceded by two other questions which assess the child's understanding of the information contained in the actual question, and an application question…

Provides an annotated list of references for educators on using computers in the classroom and for researchers in gathering background materials for the preparation of articles, grant proposals, and presentations. Focuses specifically on probability and computers. (ML)

Cross-national studies in mathematics have consistently reported that U.S. students do not perform as well as Asian students on tasks requiring the application of mathematical knowledge and skills routinely learned in school. Recent studies have shown, however, that for tasks assessing relatively novel and complex problem solving, performance…

Reviews recent research on problem solving, summarizing differences between problem-solving styles of novices and experts. Also describes a text by Daniel Solow ("How to Read and Do Proofs"). Includes chapter titles for the text useful for students who wish to improve their understanding of mathematical reasoning. (JM)

Loan and estimated payment problems are featured in this presentation of mathematics-oriented programing tasks designed for the beginning student. (MP)

Describes a summer program for prefreshman science students entering Xavier University, designed to develop their problem-solving and academic abilities by emphasizing the connection between reading comprehension and analytical skills. (MKM)

Challenging problems and project ideas for mathematically able students in grades 5 and 6 are reviewed. Number patterns are viewed as a good tool to introduce inductive and deductive thinking. Applications of mathematics in sales, the stock market, opinion polls, weather prediction, and other areas are discussed. (MP)

Bringing the practice of knowing mathematics in school closer to knowing mathematics within the discipline was studied with 18 fifth graders. Student activities in asserting and examining hypotheses were contrasted with conventional school mathematics activities. (SLD)

Domino games are used to illustrate problem-solving techniques in a college principles-of-mathematics course. Students develop tables and use Pascal's triangle to find the total number of pips and the sum of numbers on the pieces. (DC)

Describes the process of problem identification, data collection, and generalization in a mathematical experiment to find the speed at which a bug travels at the end of a fan blade. Presents the learning outcomes of the experiment and possible implications of using this teaching method. (MDH)

Discusses solutions to real-world linear particle-motion problems using graphing calculators to simulate the motion and traditional analytic methods of calculus. Applications include (1) changing circular or curvilinear motion into linear motion and (2) linear particle accelerators in physics. (MDH)

Discusses a problem in which students are asked to determine a way of cutting the corners off different denominations of paper currency enabling visually impaired individuals to distinguish between the bills with the condition that further cuts will not increase the value of the bills. Reconstructs a solution from classroom experiences. (MDH)

Surveys the format and contents of fifteenth- and sixteenth-century arithmetic textbooks. Discusses the types of problems that were most popular in these early texts and briefly analyzes problem contents. Notes the residual educational influence of this era's arithmetical and instructional practices. (Contains 29 references.) (Author/MDH)

This paper discusses the role of reduction in computer science and describes a study on undergraduate students' perception of the concept of reduction. Specifically, based on an analysis of students answers to questions addressing different computer science topics, we present several findings regarding the ways in which undergraduate students…