Work with recurring decimals provides pupils with an opportunity for exploration and examination of a wide variety of mathematical ideas and strategies. Examples of work done by one group of pupils who were presented with an opportunity to explore such decimals is featured. (MP)

Three alternative methods of finding averages of two numbers are presented. (MP)

Two mental algorithms, one for addition and one for subtraction, are described. It is felt such algorithms should be taught explicitly. The usual process taught for paper and pencil is seen to inhibit mental arithmetic, and a need to include mental algorithms in the regular mathematics curriculum is promoted. (MP)

An approach to teaching pupils the long division algorithm that relies heavily on a consistent and logical approach to estimation is reviewed. Once learned, the division estimator can be used to support the standard repeated subtraction algorithm. (MP)

Examples of student-developed methods for dividing fractions and dividing and multiplying whole numbers are presented. Both are selected to show mathematical creativity in general mathematics students which would often be overlooked. (MP)

A procedure for constructing a magic cube is presented, with related teaching activities appropriate for students familiar or unfamiliar with the algorithm covered. (MP)

A study to investigate one of the mechanisms teachers may use to convince themselves incorrectly that students have learned science concepts requiring formal operational ability is presented. The investigation indicates instructors may actually teach and test for memorization of algorithms rather than understanding. (MP)

Interesting mathematical questions that require computations involving fractions, percentages, and decimals are presented. The material is designed for students in the middle school grades, but many of the ideas could be used with higher or lower level pupils. (MP)

Contrary to Anderson (EJ 187 936), his rule for equation identification is a necessary but not sufficient condition; furthermore, the choice of two-stage or ordinary least squares depends on results and not on methodological properties of estimators. Modification of Anderson's rule and a means for choosing between estimates is offered. (Author/CP)

Presented three algorithms to university students in an introductory laboratory chemistry course and found that differences in the effects of representation modes--flow charts, lists, and standard prose--were complex and changed over 10 lab sessions. There was no evidence that representation mode affected critical thinking ability or final grade.…

Explains that Year 5 students in ten British schools took a mathematics division test twice in the school year. The test involved context and bare problems to identify changes in approach as the standard algorithm was introduced. Reports that 52 percent of students gained a higher score on the second test. (CMK)

Discusses ranking techniques for document retrieval and proposes an evaluation, or filtering, technique that reduces costs and memory usage by early recognition of which documents are likely to be highly ranked. Highlights include index design, ranked query evaluation, reducing the number of accumulators, inverted file structures, and experimental…

Describes a multicultural enrichment project for 4th graders that highlights number systems and computation algorithms of various cultures. Discusses student responses and reactions. (KHR)

Discusses issues involved in obtaining patents for computer software. Topics discussed include copyright protection; algorithms and other software processes within programs; the software industry and the effects of patenting; perspectives on software patents within higher education; cost factors; and the use of patents to control information…

Reviews some of the models used for pricing online information services and discusses some of the implications of these pricing algorithms. Topics discussed include online versus print pricing; charges for the retrieval process; charges for the retrieved information; telecommunications charges; and the pricing policies of Chemical Abstracts…