Proposes a quadratic programming, least squares solution to Carroll's weighted unfolding model with nonnegativity constraints imposed on weights. It can be used to test various hypotheses about the weighted unfolding model with or without constraints. (RC)

In this study, a unit on flow charts was developed and its effectiveness in helping teachers explain some algorithms from arithmetic was determined. Findings showed that constructing flow charts helped students give a more complete list of instructions for an algorithm, but didn't help them give better justifications for algorithms. (DT)

This paper discusses an approach to the study of algorithms which values students' construction of nonstandard algorithms but also emphasizes the essential roles of the teacher and instructional activities in supporting the development of students' numerical reasoning. Episodes are presented from a 3rd grade classroom in which a 9-week teaching…

The reasons people most often give for the failures of U.S. schools involve poverty, racial inequality, and a host of social problems. This paper argues that even if all these conditions were remedied, the schools would not produce many more people with the ability to think than they do today. Teachers, who are usually able to think, do not know…

This study examined factors related to survey response rate, particularly for teachers who participated in a nationwide survey. Using a newly developed statistical technique, the classification tree algorithm (CART), this study classified the lowest response rate and highest response rate groups based on their school demographic characteristics.…

Discusses the different strategies employed by three practical nonmetric multidimensional scaling algorithms using Monte Carlo techniques. (Author/RK)

Describes an improved method for solving typical timetabling problems which was developed for the American University in Cairo. The article outlines the 26-step algorithm, indicates computer storage requirements, shows how the algorithm copes with conflicts, and explains how to obtain the final output in convenient format. (EAO)

An attempt is made to show that algebra is rarely obvious, and merely expecting children to learn rules is an oversimplification. Sections cover: (1) The Non-visual Nature of Algebra; (2) The Apparently Arbitrary Nature of Algebra; (3) The Relationship Between Symbolism, System and Question; (4) The Complex Nature of Algebra; and (5) Some…

The trick focuses on a theorem that the sum of the digits of the difference between any natural number and the sum of its digits is divisible by nine. Two conditions of using the trick are noted. The reason that the theorem works is established through a proof. (MP)

Describes NEGOTIATE, an interactive computer model that synthesizes bargaining theories into algorithmic functions capable of simulating complex labor relations. The models employed in the simulation, the instructional dimension of NEGOTIATE, and various applications of the game are discussed. A seven-item reference list is included. (Author/JL)

Examples are provided which demonstrate the use of the computer as an instructional aid for the algebra curriculum. While the basic content of an algebra course would remain intact, computer technology can enhance and expand methods of algebra instruction. (JN)

A time-saving and space-saving algorithm is presented for computing the sums of squares and estimated cell means under the additive model in a two-way analysis of variance or covariance with unequal numbers of observations in the cells. The procedure is illustrated. (Author/JKS)

An example of a lesson involving calculators that focused on calculator use is given. An examination of the traditional algorithm by the students led to student-directed investigations. (MP)

A subtraction algorithm that does not involve borrowing is presented and called the residue method. It has been taught in junior and senior high school classes and preservice and inservice classes for teachers. The method has helped in classes where arithmetic in other bases is presented. (MP)