We describe and analyze a situation involving symbolic representation and graphical visualization of the solution of a system of two linear differential equations, using a computer algebra system. Symbolic solution and graphical representation complement each other. Graphical representation helps to understand the behavior of the symbolic…

The importance of visualisation and multiple representations in mathematics has been stressed, especially in a context of problem solving. Hanna and Sidoli comment that "Diagrams and other visual representations have long been welcomed as heuristic accompaniments to proof, where they not only facilitate the understanding of theorems and their…

This paper will review research on working memory and short-term memory abilities of deaf individuals delineating strengths and weaknesses. The areas of memory reviewed include weaknesses such as sequential recall, processing speed, attention, and memory load. Strengths include free recall, visuospatial recall, imagery and dual encoding.…

Digital character production courses have traditionally been taught in art departments. The digital character production course at the University of Utah is centered, drawing uniformly from art and engineering disciplines. Its design has evolved to include a synergy of computer science, functional art and human anatomy. It gives students an…

This study proposes an innovative solution to the problem of multiobjective engineering design optimization by integrating desktop VR with genetic computing. Although, this study considers the case of construction design as an example to illustrate the framework, this method can very much be extended to other engineering design problems as well.…

Research indicates that student understanding is either confirmed or reformed when given opportunities to share what they know. This study was conducted to answer the research question: Will classroom dialogue facilitate students' understanding of lunar concepts related to geometric spatial visualisation? Ninety-two middle school students engaged…

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…

It is in the visualisation of ideas, and the expression or representation of our ideas, that we can bring something more clearly into consciousness. A drawing might be seen as an externalisation of a concept or idea. Drawing has the potential to play a mediating role in the visualisation of ideas and concepts in relation to young children…

Images, diagrams, and other forms of visualization are playing increasingly important roles in molecular life science teaching and research, both for conveying information and as conceptual tools, transforming the way we think about the events and processes the subject covers. This study examines how upper secondary and tertiary students interpret…

The effects of age and schooling on different aspects of intellectual performance, taking track of study into account, are investigated. The analyses were based on military enlistment test scores, obtained by 48,269 males, measuring Fluid ability (Gf), Crystallized intelligence (Gc), and General visualization (Gv) ability. A regression method,…

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…

The struggling second and third graders in this mixed methods study increased their reading comprehension after a 10-week Readers Theatre podcasting project. Podcasting made the students aware of a wider audience, which enhanced the authenticity and social nature of the strategy, and made their performances permanent so they could be stored and…

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…