Presents one model for a liberal arts mathematics course that combines probability and calculus. Describes activities utilized in the course to heighten students' interest and encourage student involvement. Activities include use of visualization, take-home tests, group problem solving, research papers, and computer usage with DERIVE computer…

The continuous technological progress of the past few decades affords a different orientation to the teaching-learning process, which is useful and advantageous when mathematical concepts are transmitted. This article pursues two different aims. The first one is to examine the present state of the traditional process in relation to the concepts of…

Many researchers and instructional designers increasingly recognise the benefits of utilising three dimensional virtual reality (VR) technology in instruction. In general, there are two types of VR system, the immersive system and the non-immersive system. This article focuses on the latter system that merely uses the conventional personal…

Visuals, like pictures, charts, diagrams, graphics, and the like, are widely used in education. However, there is little justification in the research literature for their use. The overall purpose of this exploratory study was to find out more about the processing of visuals or graphics in an educational task. Specifically, it was thought that…

Computer-based learning environments commonly comprise symbolic as well as static and dynamic pictorial representations, frequently combined with the possibility of modifying them interactively. While multiple, dynamic and interactive external representations have the potential to improve learning in various ways, they also place specific demands…

In educational settings, computers provide specific possibilities of visualizing information for instructional purposes. Besides the use of static pictures, computers can present animated pictures which allow exploratory manipulation by the learner and display the dynamic behavior of a system. This paper develops a theoretical framework for…

Multimedia technology is an invaluable teaching and learning resource. One advantage of technology based education is the ability to combine practical applications, visualization of complex mathematical and abstract subjects, virtual labs, and guided use of simulation software. This article describes several multimedia tutorials for…

A proposition that 3-D CAD provides an array of unambiguous solutions to engineering problems is illustrated. This proposition assumes that engineering problems are conceived in parallel processing mode while they are solved in sequential processing mode. Circle construction analysis, parallel equidistant planes, and solid modeling are discussed.…

An approach to reduce the barrier between two-dimensional computer-aided drafting and three-dimensional constructive solids modeling is graphically illustrated. This process, or some derivative, encompasses a significant portion of the future direction for engineering graphics education. (KR)

Described is a pilot course which includes a designed set of exercises to instruct students in procedures for creating solid models. A detailed description and analysis of students' various approaches used in completing a final design project are included. (KR)

Describes an introductory graphics course developed to expose undergraduates in the use of computer-based graphics as both a problem-solving and communication tool within engineering, the sciences, and other technical areas. Discusses course strategy, classroom setup, course content, and various software packages utilized in the course. (Author/KR)

In this paper, I will discuss two related activities that I have developed for use in a college geometry course directed at pre-service secondary and elementary school teachers. These activities ask students to develop geometry on pool tables and on cones. The two activities are closely related, and both ask students to relate computer models with…

This paper describes a prototype software tool for support of peer-to-peer conversation in distance education courses in text-based asynchronous mode, utilizing the visual structure of multiple threads of conversation. The theoretical basis for this design is a comparative analysis of oral, written, and electronic communication that enables the…

Describes some developmental changes in children's free creations with pattern blocks and demonstrates how to build on this natural interest to teach Logo programing. (PK)

The existing methods for graphically illustrating projection and coordinate systems for manual and computer-aided drafting and design are examined. Inconsistencies in methods used to graphically depict first and third angle projection in texts and the lack of attention in the relationship of projection to coordinate systems are noted. (KR)