Some concrete examples of the use of historical materials in developing certain topics from precalculus and calculus are presented. Ideas which can be introduced with a reformulated curriculum are discussed in five areas: algorithms, combinatorics, logarithms, trigonometry, and mathematical models. (MNS)

Presents a developmental taxonomy which promotes sequencing activities to enhance the potential of matching these activities with learner needs and readiness, suggesting that the order commonly found in the classroom needs to be inverted. The proposed taxonomy (story, skill, and algorithm) involves problem-solving emphasis in the classroom. (JN)

Provides a short list of integral triples for the design of problems employing unit fractions (so solutions will be positive integers). Also presents an algorithm whereby both primary and imprimitive sets of triples can be easily obtained and shows how to extend the algorithm to solve three-variate unit fraction equations. (JN)

Programing a microcomputer to solve problems in whole-number arithmetic, rather than using the built-in operations of the computer, is described. Not only useful, it also enhances important mathematical concepts and is adaptable to a range of student abilities. (MNS)

The merits of having students interact with the computer rather than use canned programs to solve problems are discussed. Examples are provided. (SD)

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)