The article introduces a software application (MATH) supporting an education of Applied Mathematics, with focus on Numerical Mathematics. The MATH is an easy to use tool supporting various numerical methods calculations with graphical user interface and integrated plotting tool for graphical representation written in Qt with extensive use of Qwt…

We exhibit a simple model of a plane landing that involves only basic concepts of differential calculus, so it is suitable for a first-year calculus lab. We use the computer algebra system Maxima and the interactive geometry software GeoGebra to do the computations and graphics. (Contains 5 figures and 1 note.)

The refraction problem, well-known in calculus and physics, continues to reveal new insights. This paper presents a geometric solution in which the trammel of Archimedes plays the prominent role. When properly configured, the trammel generates an ellipse and its family of normal lines. One normal line in particular intersects the boundary…

The increasing popularity of R is leading to an increase in its use in undergraduate courses at universities (R Development Core Team 2008). One of the strengths of R is the flexible graphics provided in its "base" package. However, students often run up against its limitations, or they find the amount of effort to create an interesting plot may…

This paper discusses the use of interactive graphics to teach multivariate data analysis to Psychology students. Three techniques are explored through separate activities: parallel coordinates/boxplots; principal components/exploratory factor analysis; and cluster analysis. With interactive graphics, students may perform important parts of the…

The intent of this project was to develop a course for mathematics graduate students at Iowa State University. They would design and write computer programs for use by undergraduate mathematics students, and then offer the course and actually produce the software. Phase plane graphics for ordinary differential equations was selected as the topic.…

Some experiences with a classroom computer graphics facility are recounted to show how such a facility has changed the views of some instructors teaching mathematics at the college level. Teachers are encouraged to search out and seize opportunities to acquire graphics hardware, with the added teaching capabilities promoted. (MP)

Describes experiences at Duke University in teaching mathematics using computer graphics. Includes comments on the software library, slide shows, assessment of activities, teaching of calculus and differential equations, and various graphics devices for instructional purposes. (JN)

Describes the principles underlying computer programs designed to improve undergraduate calculus instruction. The programs were produced for teacher use on a single microcomputer for when there are not enough microcomputers available to allow students to have access to them. (JN)

Shows a series of Euclidean equations using the Euclidean algorithm to get the greatest common divisor of two integers. Describes the use of the equations to generate a series of circles. Discusses computer generation of Euclidean circles and provides a BASIC program. (YP)

Describes the development of an interactive teaching and learning model involving Desktop Videoconferencing (DVC) and other audiographic facilities for undergraduate mathematics. The experiment demonstrated that it was possible to integrate DVC with computer applications/graphics software to represent algebraic, geometric, and numeric concepts.…

This paper extends work on the construction of instructional modules that use graphical and simulation techniques for teaching statistical concepts (Marasinghe, et al. 1996; Iversen and Marasinghe 2001). These modules consist of two components: a software part and a lesson part. A computer program written in LISP-STAT with a highly interactive…

Presents computer programs (Applesoft Basic) for: (1) 2-D rotation about any point through any angle; (2) matrix transformation for 2-D rotation; (3) 3-D translation; (4) 3-D rotation; and (5) hyperboloid rotated in 2-D space. Includes background information and sample output for the matrix transformation subroutines. (JN)

Discusses a student project visualizing the surface of a function using computer graphics. Describes topics to complete the project, function and its domain, scaling, coordinate axes, projection of the surface, sketching the graph, plotting, changing the viewpoint, and rotating the axes. Provides a BASIC program using the rotation of the axes and…

Describes a function graphing program's 15 Logo procedures and how they are used in the classroom to study the properties of functions and to develop visual imagery of function behavior. Presents several Logo programs. (Author/YP)