Dimension analysis is promoted as a technique that promotes better understanding of the role of units and dimensions in mathematical modeling problems. Dimensional analysis is shown to lead to interesting systems of linear equations to solve, and can point the way to more quantitative analysis. Two student problems are discussed. (Author/MM)

The perennial debate over whether mathematics should be taught by mathematicians or engineers looks increasingly anachronistic in the light of technological change. Suggests that it is more instructive to examine the potential of technology for changing the relationship between mathematicians and engineers, and for connecting their respective…

Compares two groups of students in an intermediate algebra course and two groups of students in a college algebra course with regard to the use/non-use of computer algebra software in the courses. Indicates that in both courses, students using the software outperformed the students not using the software on a common final exam. (Author/ASK)

Links the use of Computer Algebra Systems (CAS) to an existing classification scheme for mathematical tasks called the MATH Taxonomy. Illustrates through concrete examples how the goals of teaching and learning mathematics can be set using this classification together with the CAS. (Author/MM)

Discusses reasons for and ways of using computer software to teach mechanics. Describes using software to explore mechanics, challenge misconceptions, make links between mathematical representations and motion, and solve non-standard problems. Stresses the need for structured approaches to the use of software. (Contains 24 references.) (Author/ASK)

Gives concrete examples of examinations in which Computer Algebra Systems (CAS) can be used. Discusses the need to link the construction of the examination and evaluation of the exam scripts in terms of an existing classification scheme for mathematical tasks, the MATH Taxonomy. (Author/MM)

Documents students' use of Cabri-Geometry to work on tasks that led them to construct particular relationships and explore and connect different mathematical themes or ideas. (Author/MM)

While the object oriented paradigm and its instantiation within programming languages such as Java has become a ubiquitous part of both the commercial and educational landscapes, its usage as a visualization technique within mathematics undergraduate programmes of study has perhaps been somewhat underestimated. By regarding the object oriented…

Investigates whether there is any relationship between an examinee's ability and choice of wrong alternatives when the correct answer is not chosen. Analyzes some constructed-responses data. (Author/KHR)

Presents ways to improve the accuracy of approximations of logarithms in a college-algebra course. (Author/ASK)

Describes how to use the computer algebra system (CAS) Mathematica to analyze projectile motion with and without air resistance. These experiments result in several conjectures leading to theorems. (Contains 17 references.) (Author/ASK)

The current emphasis on flexible modes of mathematics delivery involving new information and communication technology (ICT) at the university level is perhaps a reaction to the recent change in the objectives of education. Abstract algebra seems to be one area of mathematics virtually crying out for computer instructional support because of the…

Outlines a course at the University of Glamorgan in the United Kingdom in which a computer algebra system (CAS) teaches mathematical modeling. The format is based on continual assessment of group and individual work stating the problem, a feature list, and formulation of the models. No additional mathematical word processing package is necessary.…

Analyzes a simple boom structure and assesses its reliability using elementary engineering mechanics. Demonstrates the power and utility of Monte-Carlo simulation by showing that such a simulation can be implemented more readily with results that compare favorably to the theoretical calculations. (Author/MM)