This is a guide to using Maple in teaching fundamental calculus of one, two and three variables (limits, derivatives, integrals, etc.), also suitable for Maple beginners. It outlines one of the ways to effective use of computers in the teaching process. It scans advantages and disadvantages of using Maple in relation to students and teacher. The…

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)

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)

Integrates different geometries and blends several topics that have important applications in both higher mathematics and other disciplines. Aims to make these topics more attractive and understandable to high school students in a way that reinforces logical thinking with visual understanding obtained through computer usage. Contains 28…

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)

Presents an integrated exposition of aspects of secondary school mathematics and a medical science specialty. Reviews clinical medical practice and theoretical and empirical literature in mathematics education and radiology to develop and pilot model integrative classroom topics and activities. Suggests mathematical applications in numeration and…

Describes the use of spreadsheets as an alternative means of teaching complex mathematical concepts through simulation using the topic of the statistical power of tests as an example. Through the simulation it is possible for the learner to explore the design factors that influence power. Also provides a simple way of calculating power as a…

Examines issues relevant to the development, implementation, and evaluation of educational software in mathematics in the particular context of a Mathwise module covering the topic of complex numbers. Presents results of an evaluation exercise and some conclusions on issues of design and implementation. Contains 13 references. (ASK)

Discusses software for geometric construction, measurement, and calculation, and software for numerical calculation and symbolic analysis that allows for new approaches to the solution of geometric problems. Illustrates these computer-aided graphical, numerical, and algebraic methods of solution and discusses examples using the appropriate choice…

Describes how to construct simple numerical examples in two-way ANOVAs, specifically randomized blocks, balanced two-way layouts, and Latin squares. Indicates that working through simple numerical problems is helpful to students meeting a technique for the first time and should be followed by computer-based analysis of larger, real datasets when…

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

A number of ideas in complexity theory are reviewed and then it is shown that all known classes of complexity of really unmanageable problems have instances in education. These are common problems in the teaching of every branch of science, knowledge and human culture. Selected pedagogic problems classify as NP-harsh problems, i.e. NP-hard…

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)