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…

Discrete Mathematics instructors and students have long been struggling with various labelling and scanning algorithms for solving many important problems. This paper shows how to solve a wide variety of Discrete Mathematics and OR problems using assignment matrices and linear programming, specifically using Excel Solvers although the same…

This article describes an activity for secondary mathematics students using digital imaging on The Geometer's Sketchpad to model polar functions of flowers. The activity presented in the appendix engages students in learning and exploring the polar coordinate system while helping them analyze a real-world situation. By completing this activity,…

A simple, guided-inquiry investigation using stacked sandwich cookies is employed to develop a simple linear mathematical model and to explore measurement error by incorporating errors as part of the investigation. Both random and systematic errors are presented. The model and errors are then investigated further by engaging with an interactive…

Discusses the design of computational exercises useful for a course in numerical methods for chemists. Some of the exercises make use of available programs while others require the student to write programs incorporating numerical routines. The emphasis throughout is on the use of numerical methods to solve chemical problems. (Author)

Students at all levels benefit from a multi-faceted approach to learning abstract material. The most commonly used technique in teaching the pure theory of international trade is a combination of geometry and algebraic derivations. Numerical simulation can provide a valuable third support to these approaches. The author describes a simple…

The true state of the system described here is characterized by a probability vector. At each stage of the system an action must be chosen from a finite set of actions. Each possible action yields an expected reward, transforms the system to a new state in accordance with a Markov transition matrix, and yields an observable outcome. The problem of…

A large-scale computer managed training program in problem-solving in applied mathematics and basic physics for first-year medical students at the University of Leuven is described. Students do calculations away from the terminals, but are corrected and evaluated at terminals. Some tentative results are presented. (Author/MSE)

Discusses the purposes, advantages, and disadvantages of computer illustrated texts (CIT). Describes three separate CITs which demonstrate the variability that CITs have in terms of screen layout, programing style, and depth and range of coverage of topics in mathematical physics. (ML)

Discusses the use of computer graphics in the teaching of geometry. Describes five types of geometry: Euclidean geometry, transformation geometry, coordinate geometry, three-dimensional geometry, and geometry of convex sets. (YP)

Presents a module developed to teach relevant applications of mathematics to medicine, specifically, the evaluation of trauma victims. Discusses data collected and the evaluation and interpretation leading to useful predictors. Evaluation of the students by grade and sex and students' comments are included. (JM)

Provides examples from elementary mathematics principles which illustrate some of the advantages of an interactive mouse-driven animation. Explains the effectiveness of this approach with exercises dealing with a plane of waves and quadratic formulas. (ML)

Describes a course including both theory and practice in the uses of calculators and microcomputers for secondary school mathematics teachers. Provides four calculator activity sheets and an evaluation questionnaire. (Author/YP)

Describes a process of mathematical investigation involving generalized Fibonacci sequences. Provides the derivation using expressions, BASIC programs, and numerical verification. (YP)

Applications of an LR-1 parsing algorithm to intelligent programs for computer assisted instruction in symbolic logic and foreign languages are discussed. The system has been adequately used for diverse instructional applications, including analysis of student input, generation of pattern drills, and modeling the student's understanding of the…