Music has always been an important aspect of teenage life, but with the portability of the newest technological devices, it is harder and harder to separate students from their musical influences. In this article, the author describes a lesson wherein she incorporated their love of song into an engaging art project. In this lesson, she had…

Visualizations that adopt a first-person point of view allow observation and, in the case of interactive simulations, experimentation with relativistic scenes. This paper gives examples of three types of first-person visualizations: watching objects that move at nearly the speed of light, being a high-speed observer looking at a static environment…

This article presents the authors' personal accounts and their experiences in working on mathematics using "arms." "Arms" is an idea that first appeared as a program written by John Warwick and David Wooldridge in an ATM publication "Some Lessons in Mathematics with a Microcomputer," 1983. The introduction to…

A heuristic approach to explaining of the Black-Scholes option pricing model in undergraduate classes is described. The approach draws upon the method of protocol analysis to encourage students to "think aloud" so that their mental models can be surfaced. It also relies upon extensive visualizations to communicate relationships that are…

In this paper, we describe an approach to analyze 2D truss/Frame/Beam structures under Flash-based environment. Stiffness Matrix Method (SMM) module was developed as part of ongoing projects on a broad topic "Students' Learning Improvements in Science, Technology, Engineering and Mathematics (STEM) Related Areas" at Old Dominion…

This paper provides examples of naturally radioactive items that are likely to be found in most communities. Additionally, there is information provided on how to acquire many of these items inexpensively. I have found that the presence of these materials in the classroom is not only useful for teaching about nuclear radiation and debunking the…

Human language is a rich and complex part of human behaviour that can be studied in many ways. The author and his colleagues are developing an application that accepts simple texts as input and presents an animated display of characters acting out the text. It mimics the human visualization of texts, the so-called Theatre of the Mind. In so doing,…

On January 20, 2009, Americans witnessed a historical event as Barack Obama took the oath of office and became the 44th president of the United States. While the general population reflected on the event, students in a U.S. government course were busy analyzing the inaugural address. In the past, they might have written their own reflections on…

The author first saw Trevor Fletcher's film on the cardioid as an undergraduate in 1959. When he saw Fletcher's cardioid film once again, the author was vividly reminded of his first experiences of animated mathematics nearly 50 years before. He discovered that the idea of using mental pictures to develop dynamic images came from work by the Swiss…

The "cyberinfrastucture" is a broad informational network that entails connections to real-time data sensors as well as tools that permit visualization and other forms of analysis, and that facilitates access to vast scientific databases. This multifaceted network, already a major boon to scientific discovery, now shows exceptional promise in…

Identification of significant differences in sets of data is a common task of data mining. This paper describes a novel visualization technique that allows the user to interactively explore and analyze differences in mean values of analyzed attributes. Statistical tests of hypotheses are used to identify the significant differences and the results…

In the last few years, Spain has seen dramatic changes in its educational system. Many of them have been rejected by most teachers after their implementation (LOGSE) while others have found potential drawbacks even before starting operating (LOCE, LOE). To face these changes, schools need well qualified instructors. Given this need, and also…

This article explores the importance of vision in dance from both the teacher's and the learner's perspectives. Since vision does not function in isolation, the interplay between sight and other modes of learning movement-based material is considered as well. Movement activities are provided to assist with understanding this information…

A complex technology-based problem in visualization and computation for students in calculus is presented. Strategies are shown for its solution and the opportunities for students to put together sequences of concepts and skills to build for success are highlighted. The problem itself involves placing an object under water in order to actually see…

In this article, the author proposes a dynamic, interdisciplinary, network conception of expertise that differs from conventional static, linear conceptions. Using a range of graphic images, the author propose specific visualizations of this network conception of expertise. First, he discusses attempts to pin expertise down in a definition. Then…