Based on the properties of a Primitive Pythagorean Triple (PPT), a computer program was written to generate, print, and count all PPTs greater than or equal to I[subscript x], where I[subscript x] is an arbitrarily chosen integer. The Density of Primitive Pythagorean Triples may be defined as the ratio of the number of PPTs whose hypotenuse is…

Students in this study were enrolled in either an Introductory Algebra or Intermediate Algebra class taught through computer-mediated instruction or lecture. In the first year of the study, students were asked what they believed helped them learn mathematics in the instructional format in which they were enrolled. They were also asked what they…

This paper compares several interface evaluation methods applied in the case of a computer based learning (CBL) environment, during a longitudinal study performed in three European countries, Greece, Germany, and Holland, and within the framework of an EC funded Leonardo da Vinci program. The paper firstly considers the particularities of the CBL…

In higher education, the number of computer projectors in classrooms has doubled every year for the past five years. A similar trend in K?12 education is occurring now that capable classroom projectors have become available for less than $1,000. At the same time, large-screen displays are becoming common in society; a trend being acceleration by a…

This article features the netTrekker d.i. The World Wide Web offers students the ability to do extensive searches for information. Properly used, it allows them to conduct the type of in-depth research that past generations could only dream of. Along with the opportunities are challenges. Danger lurks in the form of sites with misleading,…

This paper presents a system designed to support note taking by students on wirelessly connected PDAs in a classroom. The system leverages the devices' wireless connectivity to allow students to share their notes in real time and quickly reuse words from their fellow note takers. In addition, presentation material such as Powerpoint slides is also…

The design of technology tools has the potential to dramatically influence how students interact with tools, and these interactions, in turn, may influence students' mathematical problem solving. To better understand these interactions, we analyzed eighth grade students' problem solving as they used a java applet designed to specifically accompany…

This article describes how a qualitative data analysis package, NVivo, was used in a study of authentic and constructivist learning and teaching in the classroom. The paper starts with a summary of the research study in which NVivo was used to analyze the data and overviews the methodology that was adopted in this study. It, then, describes how…

This paper critically examines the concepts of field dependent and field independent cognitive styles within the context of computer-based instruction. The literature suggests that hypermedia instructional environments are more likely to engage cognitively field independent learners. This active engagement may be the result of the non-structured…

Effective problem-solving skills are critical in dealing with ambiguous and often complex issues in the present-day leaner and globally diverse organizations. Yet respected, well-established problem-solving models may be misaligned within the current work environment, particularly within a team context. Models learned from a more bureaucratic,…

Objective: This review examines the use of e-learning systems in psychiatric education. Method: The authors review the Instructional System Design process, focusing on ADDIE (Analysis, Design, Development, Implementation, and Evaluation). The authors also report on two representative teaching projects, discussing the planning, work, and assessment…

Sophomores interested in professional colleges with grade-point average (GPA) standards for admission to upper division courses will need specific and realistic information concerning the requirements. Specifically, those who fall short of the standard must assess the likelihood of achieving the necessary GPA for professional program admission.…

An online conference is illustrated using the format of a TV talk show. The conference combined live audio discussion with visual images spontaneously selected by the moderator in the manner of a TV control-room director. A combination of inexpensive online collaborative tools was used for the event, based on the browser-based audio-conferencing…

Spatial technologies, particularly Geographic Information Systems (GIS), have become invaluable and persuasive tools in society today. These technologies have also made their way into classrooms around the world and Australian teachers are leaders in implementing GIS technology into their classrooms. There is still a way to go in order to make…

We give an example of a student project that experimentally explores a topic in random graph theory. We use the "Combinatorica" package in "Mathematica" to estimate the minimum number of edges needed in a random graph to have a 50 percent chance that the graph is connected. We provide the "Mathematica" code and compare it to the known theoretical…