We consider the effect on estimation of simultaneous variable centering and interaction effects in linear regression. We technically define, review, and amplify many of the statistical issues for interaction models with centering in order to create a useful and compact reference for teachers, students, and applied researchers. In addition, we…

Lists five criteria in the acceptance of mathematical theorems, such as understanding, significance, compatibility, reputation, and convincing argument. Concludes that social and language factors are involved in the process of the acceptance. (YP)

Discussed are the results of a study which suggests that people remember more mathematics and other high school material when learning occurs spaced out over several years and when each subsequent session involves broader applications of previously learned information. Highlights of this study and related studies are presented. (CW)

This article develops an algorithm to find all solutions to the problem, making all sums of a hexagram's nine lines the same. It shows how to exploit the geometric structure of the hexagram and its group of automorphisms. (YP)

Explored are various aspects of drawing graphs on surfaces. The Euler's formula, Kuratowski's theorem and the drawing of graphs in the plane with as few crossings as possible are discussed. Some applications including embedding of graphs and coloring of maps are included. (YP)

Proposes a mathematical computer model for the behavior of liquids using the classical dynamic principles of Sir Isaac Newton and the molecular dynamics method invented by other scientists. Concludes that other applications will be successful using supercomputers to go beyond simple Newtonian physics. (CW)

The concept of displacement center for teaching the virtual work method in statistics is described. An analytical treatment of the displacement center is presented. An example which illustrates the essential elements of this concept is provided. (CW)

A study documented 10 college students' understanding of the limit concept and the factors affecting changes in that understanding. Encouragement by the researchers for the students to change their common informal models of limit to more formal conceptions were met with extreme resistance. (Author/JJK)

This paper presents a method of assessing math anxiety based on self-reported descriptors used to evaluate various personality traits in college students. A secondary purpose of the paper is to report the results of applying such an inventory to a group of college mathematics students. (PK)

This paper presents the thesis that pair problem-solving serves as an aid to students in developing their metacognitive skills. Metacognition has been defined as knowledge and cognition about cognitive objects and as any kind of monitoring. The ability to monitor one's thoughts and actions is greatly facilitated through the pair problem-solving…

The implementation of the first phase of a project involving the use of computer software in a course on the mathematics of finance is discussed. Results of a controlled experiment indicated that the techniques employed seemed to have positively impacted the performance of the students. (CW)

A nonconventional graphical way to represent functions (the Parallel Axes Representation) is discussed. A computerized environment designed to support the exploration of the representation of linear functions is described. The didactical potential of this representation is illustrated. (CW)

This article describes the process used by the Educational Foundations Department at Georgia State University in developing computer-assisted instruction (CAI) modules in the areas of statistics and research methods. Courses taken by graduate students who assist faculty members in developing these modules are described. (Author)

Discussion of need for improved mathematics education of preservice teachers focuses on a model program, the Mathematics Fitness Project, that includes a computer-generated testing system, management system, and remediation system. Use of the system to improve mathematics skills and attitudes of college students and post high school adults is…

A critical curriculum promoting mathematical literacy can be effective in involving more people of color in mathematics and science fields. A program that conveys the relevance of mathematics and statistical knowledge can be politically and socially empowering. Describes how ethnomathematics challenges the Eurocentric dichotomy between practical…