This report illustrates a simple, short, yet relatively little known partial check on addition that elementary school pupils can be lead to discover, and later taught to understand. The process can also be used for subtraction and is viewed as more useful than the traditional check of casting out nines. (MP)

The following ideas are shared: (1) a low-stress subtraction algorithm that eliminates the traditional borrowing process, and (2) an approach to graphing circular functions that looks at the process of modifying simple functions as a series of shifting, sliding, and stretching adjustments, with its biggest advantage viewed as its generality. (MP)

Discusses the problem of duplicate citations resulting from file overlaps in multidatabase searching and shows that such duplicates could be identified automatically and eliminated by a host computer as a complementary service to online retrieval. Steps involved in the realization of this service are described, and 11 references are listed. (RBF)

Describes an indexing technique based on overlapping word fragments as reference strings that are linked in a directed graph structure which makes possible exact match-, partial match-, and masked-partial match-retrieval and indicates search strategies for each case. Eight figures, two tables, and nine references are provided. (RBF)

Problems with apportioning seats within the House of Representatives every 10 years are discussed. The history of the problem and the nature of the politics involved are reviewed, and the current method in use is detailed along with its flaws. A call for a more sensible system is made. (MP)

An approach to using the method of least squares, a scheme for computing the best-fitting line directly from a set of points, is detailed. The material first looks at fitting a numerical value to a set of numbers. This provides tools for solving the line-fitting problem. (MP)

Results of this study indicated calculator algorithms can serve as an effective alternative instructional strategy where computational skill is an instructional goal. (MP)

Describes the beginning of a study of the cognitive processes required for applying financial accounting knowledge to specific problem solving situations. Task analysis is used to describe the cognitive components of accounting, and algorithms for the tasks are appended. Eighteen references are listed. (Author/CHC)

An individual differences additive model is discussed which represents individual differences in additivity by differential weighting or additive factors. A procedure for estimating model parameters for various data measurement characteristics is developed. The method is found to be very useful in describing certain types of developmental change…

By algebraically defining a school finance structure as a total budget system, partial derivatives can be used to find the kinds of rewards, incentives, and distributions the structure defines for individual districts and among districts. Equity concerns can also be answered. (Author/IRT)

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)