Describes an experiment using applications and projects to motivate students in college algebra. Provides a few illustrative examples of the applications/projects used and shares some student comments. (Author/ASK)

Receiver operating characteristics (ROC) have advantages over other methods for predicting violent behavior recidivism because they are independent of the base rate for violence in the populations studied and of particular cutoff score chosen to classify cases as likely to be violent. Shows how ROC methods can be used to compare performance of…

Describes a stimulating interactive group project on measuring the lengths of solar days that directly supports concepts related to orbits, motion, and time in a physics or astronomy curriculum, and has the flexibility to extend from a few days to several weeks. Provides new measurement experiences for students and teachers and opportunities for…

Presents an approach to the study of real lenses that would not contradict Fermat's principle. Shows how the rudiments of the correct theory can be incorporated into courses to provide students a clearer notion of what they can expect in laboratory situations. (DDR)

Part of a series which aims to promote the use of mathematics in the undergraduate geosciences curriculum. Focuses on mathematical set theory and classification of rocks. (Author/MM)

Draws on a range of Japanese work and unifies it under an integrating theme of 'surprise' to help gain insight into a characteristic of mathematics lessons which make students interested in mathematical ideas. (MM)

Argues that high school teachers have given up on trying to teach equations and mathematics to poorly prepared, inner-city, or very average students. Describes a mathematical problem-solving physics course for all types of students from average to honors. (CCM)

Develops and tests a learning environment for teaching and learning how to model and solve mathematical application problems using four classes of fifth graders. Indicates that the intervention had a positive effect on different aspects of pupils' mathematical modeling and problem solving abilities. (Contains 62 references.) (Author/ASK)

An enzymatic laboratory experiment based on the analysis of serum is described that is suitable for students of clinical chemistry. The experiment incorporates an introduction to mathematical method-comparison techniques in which three different clinical glucose analysis methods are compared using linear regression and Bland-Altman difference…

One section of this "scrapbook" section describes Pythagoras' belief in the connections between music and mathematics -- that everything in the universe was a series of harmonies and regulated by music. Another section explains why Phythagoras felt it important for women to be encouraged to learn mathematics. At least 28 women were involved in his…

Almost all modern rotation of factor loadings is based on optimizing a criterion, for example, the quartimax criterion for quartimax rotation. Recent advancements in numerical methods have led to general orthogonal and oblique algorithms for optimizing essentially any rotation criterion. All that is required for a specific application is a…

We focus on a major difficulty in solving combinatorial problems, namely, on the verification of a solution. Our study aimed at identifying undergraduate students' tendencies to verify their solutions, and the verification strategies that they employ when solving these problems. In addition, an attempt was made to evaluate the level of efficiency…

The origin of the function concept is usually traced to Galileo's work on motion. We argue that specific proto-function concepts appeared in the work of Tartaglia a century before the publication of Galileo's Two New Sciences. The study of Tartaglia's ideas can be used in the classroom as a historical introduction to various function concepts,…

David Gale was one of the mathematicians responsible for the modern form of the theory of duality in linear programming and the associated proof of the minimax theorem in the theory of games. He is a member of the National Academy of Sciences and is Professor Emeritus of Mathematics and Operations Research at the University of California at…

Teaching Newtonian physics involves the replacement of students' ideas about physical situations with precise concepts appropriate for mathematical applications. This paper focuses on the concepts of "matter" and "mass". We suggest that students, like some pre-Newtonian scientists we examine, use these terms in a way that conflicts with their…