This paper describes an investigation of problem sequencing as part of a symposium presenting theoretical concerns and research findings regarding several diverse types of strategies for designing and presenting instructional materials. The first step involved analyzing a set of problems, to determine the knowledge (rules) required for solving the…

Calculators are a big help in extending classroom activities and this article took a look at how the students of tomorrow might use them. (RK)

Presents compact algorithms, suitable for use with hand held calculators, for the calculation of potentiometric titration curves. (SL)

Presents an exact equation for calculating the volume of titrant as a function of the hydrogen ion concentration suitable for calculation on a hand held calculator. (SL)

Reviews the mathematical properties of algorithms and problems which can not be resolved by present methods in mathematics. (SL)

Describes the current status and limitations of expert systems, and explores the possible applications of such systems in education and training. The use of expert systems as tutors, as job aids, and as a vehicle for students to develop their own expert systems on specific topics are discussed. (40 references) (CLB)

Mathematical models that are used to solve facility location problems are presented. All involve minimizing some distance function. (MNS)

Algorithms to determine the optimal locations of emergency service centers in a given city are presented, with theorems and proofs. (MNS)

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)

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)

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

Evaluates an instructional method in general chemistry that attempts to bridge the gap between algorithmic problem-solving abilities and conceptual understanding of chemistry students and emphasizes conceptual problem solving in the initial phase of a concept. Concludes that using a conceptual focus for the chemistry courses had many positive…

The research reported in this paper was designed to analyze the incidence of use of higher-order rules by students solving geometric construction problems. A carefully selected set of construction problems was subjected to rigorous a priori analysis by mathematics educators to determine what basic and second-order rules might be used by able high…

Two randomized trials were conducted to determine (1) whether the use of the algorithm system has a measurable effect on the clinical problem-solving behavior of physician's assistants, and (2) if so, which components of the algorithm system account for the effect. Inconclusive findings are reported. (LBH)