When conducting an exploratory factor analysis, the decision regarding the number of factors to retain following factor extraction is one that the researcher should consider very carefully, as the decision can have a dramatic effect on results. Although there are numerous strategies that can and should be utilized when making this decision,…

This study examines whether "SimCalc Mathworlds"[TM] improves students' knowledge of the algebra concepts of rate and proportionality. Strengths: The study is a well implemented randomized controlled trial (RCT) with acceptable sample attrition rates and no indications of other problems. Cautions: The study authors describe a rigorous…

This article explores ways of conceptualizing the design of innovative learning tools as emergent from dialectics between designers and learner-users of those tools. More specifically, I focus on the reciprocities between a designer's objectives for student learning and a user's situated activity in a learning environment, as these interact and…

High-profile criminal acts continue to plague United States (US) college campuses despite recent efforts to implement more aggressive risk mitigation practices, such as criminal background checks. Despite these efforts, incidents such as the most recent shootings at Virginia Polytechnic Institute and State University continue to demonstrate that,…

When the author first used "VisiCalc," the author thought it a very useful tool when he had the formulas. But how could he design a spreadsheet if there was no known formula for the quantities he was trying to predict? A few months later, the author relates he learned to use multiple linear regression software and suddenly it all clicked into…

Purpose: This paper seeks to propose a collaborative process for evaluating, piloting and selecting, new and emerging educational technologies. It aims to promote discussion about how such an evaluative process can be inclusive of interdisciplinary stakeholders and envision the actual application of these technologies in real teaching and learning…

The debate about the impact of information and communication technology has tended to focus on either its economic or its political aspects. The growing centrality of this technology to life in the 21st century, however, raises important questions about social ownership and control that necessitate a broader and more holistic analysis. Central to…

User modeling has been found to enhance the effectiveness and/or usability of software systems through the representation of certain properties of a particular user. This paper presents the research and the results of the development of a user modeling system for the implementation of student models within e-learning environments, utilizing vector…

The most effective teachers use a diversity of methods and approaches to assist their students in the learning process. Multiple technical resources (commonly referred to as multimedia) are currently used by many instructors to communicate difficult topics and concepts to their students in meaningful ways. The issue that arises is not only how to…

The author has never been good at math. When he was in 9th grade, he found gripping joy in Shakespeare, the wives of Henry VIII, the psychosis of Poe, the heroes of various revolutions, the perpetual pillaging of Alsace and Lorraine. However, his interests changed when he enrolled in the Central Virginia Governor's School (CVGS) for Science and…

In this study, the popular Purdue Spatial Visualization Test-Visualization by Rotations (PSVT-R) in isometric drawings was recreated with CAD software that allows 3D solid modeling and rendering to provide more realistic pictorial views. Both the original and the modified PSVT-R tests were given to students and their scores on the two tests were…

Exploring student test, homework, and other assessment scores is a challenge for most teachers, especially when attempting to identify cross-assessment weaknesses and produce final course grades. During the course, teachers need to identify subject weaknesses in order to help students who are struggling with a particular topic. This identification…

A single equation of state (EOS) such as the Peng-Robinson EOS can accurately describe both the liquid and vapor phase. We present several applications of this equation of state including adiabatic flash calculation, determination of the solubility of methanol in natural gas, and the calculation of high-pressure chemical equilibrium. The problems…

What makes Dynamic Geometry Environment (DGE) a powerful mathematical knowledge acquisition microworld is its ability to visually make explicit the implicit dynamism of thinking about mathematical geometrical concepts. One of DGE's powers is to equip us with the ability to retain the background of a geometrical configuration while we can…

We describe exercises in which students use PascGaloisJE to formulate conjectures about certain binomial identities which hold when the binomial coefficients are interpreted as elements in the cyclic group Z[subscript p] of integers modulo a prime integer "p". In addition to having an appealing visual component, these exercises are open-ended and…