Shows how integer-sided triangles can be nested, each nest having a single enclosing isosceles triangle. Brings to light what can be seen as a relatively simple generalization of Pythagoras' theorem, a result that should be readily accessible to many secondary school pupils. (Author/KHR)

Considers educational aspects of the development of ratio and proportion focusing on the arithmetization undergone by these concepts in light of the relationship between mathematics and music. Investigates the instructional aspects of compounding ratios. Points out features of the differences between identity and proportion which can be…

Explores the derivation of empirical models for the stopping distance of a car being driven at a range of speeds. Indicates that the calculation of stopping distances makes an excellent example of empirical modeling because it is a situation that is readily understood and particularly relevant to many first-year undergraduates who are learning or…

Poses a practical woodwork problem in which maximizing the perimeter of a square-based pyramid is required. The pyramid is constructed from four identical trapezia to be cut from a given rectangle of wood. A simple mathematical analysis suggests a number of different strategies for the solution of the problem. (Author/NB)

Several Excel applications are presented which are part of the syllabus in the first semester of engineering studies at Haugesund College. The aim of the applications is for the students to acquire both computing skills and mathematical understanding at the same time. The applications cover numerical solution of equations, differentiation,…

Reviews the historic relationship between logic and the mathematics curriculum. Proposes a list of logical elements for modern school mathematics. Checks the current national curriculum against this list and finds it to be deficient, especially in relation to the development of ideas of proof. Presents arguments for reform. (Contains 29…

Presents a game in which if player is playing a match of this game with an opponent, at each step in the game he has to decide whether to continue or to stop. Helps students to develop a strategy for making such a decision based on the expected gain and related probabilities. (Author/ASK)

Presents activities to model dynamic systems using graphing calculators and calculator based laboratories. (Author/ASK)

Lists several problems that have proven to be successful in getting students to think about topics and notions they thought they knew. Indicates that students have not only solved the conundrums (often with help), but also developed them further into research projects. (Author/ASK)

Delineates two illustrative game-theoretic applications to Philippine politics: (1) People Power Revolution in the mid-1980s and (2) conflict over Spratly Islands in the mid-1990s. Uses zero-sum games to model these two events, and elementary matrix theory to determine pure strategies and locate equilibrium points. Includes recommendations for…

Attempts to lay the groundwork for a study of curves produced as loci using dynamic geometry. Provides some sketches of ways Cabri may be used to enhance the teaching of geometry with particular reference to synthetic plane Euclidean geometry, locus, and the conics. (Contains 26 references.) (ASK)

Presents a methodology for teaching mathematical modeling skills to A-level students. Gives an example illustrating how mathematics teachers and design teachers can take joint perspective in devising learning opportunities that develop mathematical and design skills concurrently. (Contains 14 references.) (Author/ASK)

Introduces some of the basic techniques of cryptography along with examples of how cryptography can be employed in teaching mathematics and used as a cross curricular theme. (Author/ASK)

Considers the fact that employers do not realize the true value of mathematics as a basis for general employment and management. Outlines the benefits mathematicians can bring to an employer whether or not they are ever expected to do sums. (Author/ASK)

Discusses the changing perceptions of numeracy in a changing world, and puts forward arguments for integrating calculator use into the earliest school years. (Author/ASK)