This 1998 yearbook aims to stimulate and answer questions that all educators of mathematics need to consider to adapt school mathematics for the 21st century. The papers included in this book cover a wide variety of topics, including student-invented algorithms, the assessment of such algorithms, algorithms from history and other cultures, ways…

Describes a two-phase stemming algorithm which consists of word root identification and automatic selection of word variants starting with same word root from inverted file. Use of algorithm in book catalog file is discussed. Ten references and example of subject search are appended. (EJS)

The outcomes of two scoring methods (one based on an error analysis and the second on a conventional method) on free-response tests, compared in terms of reliability and dimensionality, indicates the conventional method is inferior in both aspects. (Author/PN)

This report explains the mathematical origin of the Annual Percentage Rate (APR) approximation often used in elementary Business Mathematics courses. (MP)

The need for incorporating algorithmics into mathematics instruction is presented. The proliferation of computers is seen to have made the designing of algorithms an essential skill. Examples are given, and the view that mathematics will lose much prestige and importance if algorithmics is not integrated into it is presented. (MP)

Proposes a problem-oriented, man-machine modelling process which combines algorithms and software to assist decision makers and planners in dealing with complex socio-economic issues. Includes the specific parts in each of the system's three basic elements: a library, special units, and system control units. (Author/DC)

Eight factors were studied to determine their relationship to success in a beginning computer science course. Significant correlations were found between the final exam score and reading comprehension, sequence completion, logical reasoning, and algorithmic execution. (Authors/JN)

A tool to aid elementary calculus students in the computation of unusual limits is reviewed. (MP)

A continuum of item-writing methods is proposed ranging from informal-subjective methods to algorithmic-objective methods. Examples of techniques include objective-based item writing, amplified objectives, item forms, facet design, domain-referenced concept testing, and computerized techniques. (Author/CP)

The method used at airports in determining the cloud height at night is presented. Several problems, the equation used, and a simple design of an alidade (an instrument that shows cloud heights directly) are also included. (MP)

A learning pattern designed to help students cut down the amount of memorization needed in learning the basic multiplication facts is suggested and reviewed. (MP)

A method is presented for helping children make a smooth transition from using manipulative materials to using symbols only in solving multidigit addition problems. (MP)

An organized series of steps designed to help students solve related rate problems often found in beginning calculus is presented. Two example problems are taken through five steps of solution. (MP)