The author feels teaching division of fractions is worthwhile because it will help students understand other algorithms. (MK)

The multiplication and division algorithms that are taught in German schools are presented. It is suggested that these algorithms may be better than standard algorithms in terms of development of useful concepts and processes. (MK)

Three short essays provide teaching suggestions for lessons on base two, order of operations, and ratios used to motivate a number of mathematical ideas. (MK)

A computer program in BASIC is presented, with the underlying algorithm explained, for multiplying any two multi-digit numbers and obtaining an exact answer. (MP)

Demonstrates that an elementary understanding of computer programing and the development and illustration of the structure of computer program analysis will be valuable assets in the understanding and teaching of mathematics and may be used as modeling devices to simulate the stages of learning. (Author)

A class's struggle with the computer solution of a nontrivial problem is related. The use of algorithms allowed a trial-and-error approach.

Discussion of ranking systems used in various settings, including college football and academic admissions, focuses on the Google search engine. Explains the PageRank mathematical formula that scores Web pages by connecting the number of links; limitations, including authenticity and accuracy of ranked Web pages; relevancy; adjusting algorithms;…

Encourages teachers to allow opportunities for students to present alternative algorithms, whether the students invent them or learn them, then lead a discussion about the meaning of the operations with the goal of students understanding why the algorithm works. Teachers with students of similar racial and ethnic backgrounds should encourage the…

Provides an applications-oriented view of algorithmic historiography and how it relates to understanding scientific paradigms. Discusses HistCite[TM], a program that allows scholars to identify significant works on a given topic; paradigm shifts; a genealogic approach; citation analyses; correcting variations in citations; and bibliographic…

Discussion of the information needs of medical professionals and researchers focuses on the architecture of a Web portal designed to integrate advanced searching and indexing algorithms, an automatic thesaurus, and self-organizing map technologies to provide searchers with fine-grained results. Reports results of evaluation of spider algorithms…

Discussion of information retrieval, query optimization techniques, and relevance feedback focuses on genetic algorithms, which are derived from artificial intelligence techniques. Describes an evaluation of different genetic algorithms using a residual collection method and compares results with the Ide dec-hi method (Salton and Buckley, 1990…

Discusses the use of link structure analysis in World Wide Web information retrieval and in retrieval and ranking algorithms of search engines. Presents two techniques which bias co-citation based link analyses towards favorable Web pages and away from undesired pages, and are then integrated into existing link-analyzing algorithms. (Author/LRW)

Reports an approach to automatic thesaurus construction for Chinese documents. Presents an effective Chinese keyword extraction algorithm. Compared to previous studies, this method speeds up the thesaurus generation process drastically. It also achieves a similar percentage level of term relatedness. Includes three tables and four figures.…

A method is presented that simultaneously estimates cluster membership and corresponding regression functions for a sample of observations or subjects. This methodology is presented with the simulated annealing-based algorithm. A set of Monte Carlo analyses is included to demonstrate the performance of the algorithm. (SLD)

Presents two methods for replacing a series by one converging more rapidly: regrouping the terms of a series and manipulations of power series. Describes a general algorithm for approximating the natural logarithm of any number. (YP)