Previous visual analysis research reported that the overall agreement between visual analysis and statistical analysis was poor. In response, some researchers suggested the use of celeration lines to improve the accuracy and reliability of visual analysis. However, subsequent research reported little or no improvement in accuracy with such lines.…

What is physics without graphs and diagrams? The web is becoming ubiquitous, but how can one expect students to make graphs and diagrams on the web? The solution is to extend functionality through Java applets. Four examples of exercises using the Physics Applets for Drawing (PADs) will illustrate how these can be used for physics instruction to…

This article describes the use of limits in topics that are usually covered in a high school advanced placement chemistry course or a first-year college chemistry course. Such an approach supplements the interpretation of the graph of an equation since it is usually easier to evaluate the limit of a function than to generate its graph. In…

This article takes a further look at the percentage of data points exceeding the median (PEM) analysis method for single-case research data, first presented in this journal by Hsen-Hsing Ma. Ma examined the relationship between PEM and the established percentage of nonoverlapping data (PND) and then applied PEM in a meta-analysis of 61 data sets,…

This paper examines the relation between bodily actions, artifact-mediated activities, and semiotic processes that students experience while producing and interpreting graphs of two-dimensional motion in the plane. We designed a technology-based setting that enabled students to engage in embodied semiotic activities and experience two modes of…

This paper reviews graphical and nongraphical procedures for evaluating multivariate normality by guiding the reader through univariate and bivariate procedures that are necessary, but insufficient, indications of a multivariate normal distribution. A data set using three dependent variables for two groups provided by D. George and P. Mallery…

Reviews Trueswell's weeding technique, introduces possible application areas, and addresses a number of popular misconceptions. (Author)

The full phase diagram of water in the form of a graphical representation of the three-dimensional (3D) PVT diagram using authentic data is presented. An interesting controversy regarding the phase behavior of water was the much-touted proposal of a solid phase of water, polywater, supposedly stable under atmospheric conditions.

We present a simple activity that permits students to determine the coefficient of restitution of bouncing balls using only a stopwatch, a metre stick and graphical analysis. The experiment emphasizes that simple models, in combination with careful attention to how students make measurements, can lead to good results in a straightforward way.

This analysis entailed an examination of student transportation costs for SAUs that have consolidated through new school construction. School Administrative Units (SAUs) on the State Board of Education's list of approved school consolidation projects between 1999-00 and 2004-05 were evaluated to determine if a school consolidation had already…

This paper presents a derivation of all five Lagrange points by methods accessible to sixth-form students, and provides a further opportunity to match Newtonian gravity with centripetal force. The predictive powers of good scientific theories are also discussed with regard to the philosophy of science. Methods for calculating the positions of the…

Inequalities are considered among the most useful tools of investigation in pure and applied mathematics; yet their didactical aspects have not received much attention in mathematics education research until recently. An important aspect of teaching problem solving at the secondary level deals with the notion of equivalence of algebraic…

We investigate the use and knowledge of graphs in the context of a large industrial factory. We are particularly interested in the question of "transparency", a question that has been extensively considered in the general literature on tool use and, more recently, by Michael Roth and his colleagues in the context of scientific work. Roth uses the…

Many popular mathematical software products including Maple, Mathematica, Derive, Mathcad, Matlab, and some of the TI calculators produce incorrect graphs because they use complex arithmetic instead of "real" arithmetic. This article expounds on this issue, provides possible remedies for instructors to share with their students, and demonstrates…

The current study used a multiple baseline design to investigate the effects of graphic feedback, goal setting, and manager praise on customer service behaviors in a large retail setting. Direct observation of customer greeting, eye contact, and smiling was used to collect data. After baseline data were collected feedback graphs were posted twice…