The introduction of certain topics in the theory of machines and languages into school and college mathematics courses in place of the more usual discussion of groups and formal logic is proposed. Examples of machines and languages and their interconnections suitable for such courses are outlined. (MP)

This special section on cognition and mathematics contains an introduction and 13 articles on advances in the psychology of mathematics learning. The articles focus on how students learn to solve mathematics problems, including arithmetic computation problems, arithmetic word problems, and computer programing problems. (SLD)

Potential instructional uses of the computer for expanding middle school mathematics programs are described. Content areas which are represented include geometry, number theory, computation, consumer education, and probability. (Author/JN)

Mathematical programing formulas are introduced as new approaches to solve the classification problem in discriminant analysis. The research literature is reviewed, and an illustration using a real-world classification problem is provided. Issues relevant to potential uses of these formulations are discussed. (TJH)

In college courses in statistics and computer programing, learning can be enhanced when students are required to express formulas and notations in writing. This approach helps improve concept formation, comprehension, problem solving, and ability to draw conclusions and interpretations. Attention to syntax and form is important. (MSE)

Describes experiences with a Keller-style computer studies course for future mathematics teachers. Aspects of the implementation are detailed, the motivation for thoughts behind the course are discussed, and the evaluation of student performance is supplemented by students' reactions to the course as measured by a semantic differential.…

In order to estimate the classical coefficient of test reliability, parallel measurements are needed. H. Gulliksen's matched random subtests method, which is a graphical method for splitting a test into parallel test halves, has practical relevance because it maximizes the alpha coefficient as a lower bound of the classical test reliability…

An inservice course was developed to a large extent in a Logo-oriented environment. Evaluation results show that teachers were successful in creating Logo programs and that the course fostered positive views about computers and growth in certain mathematical concepts. However, ongoing support from curriculum coordinators and/or administrators is…

The methodology of data envelopment analysis, (DEA) a linear programming-based method, is described. Other procedures often used for measuring relative productive efficiency are discussed in relation to DEA, including ratio analysis and multiple regression analysis. The DEA technique is graphically illustrated for only two inputs and one output.…