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Loly, P. D.; Steeds, M. J. – International Journal of Mathematical Education in Science and Technology, 2005

An interesting class of purely pandiagonal, i.e. non-magic, whole number (integer) squares of orders (row/column dimension) of the powers of two which are related to Gray codes and square Karnaugh maps has been identified. Treated as matrices these squares possess just two non-zero eigenvalues. The construction of these squares has been automated…

Descriptors: Geometric Concepts, Numbers

De Pillis, L. G. – International Journal of Mathematical Education in Science and Technology, 2005

A little known property of determinants is developed in a manner accessible to beginning undergraduates in linear algebra. Using the language of matrix theory, a classical result by Sylvester that describes when two polynomials have a common root is recaptured. Among results concerning the structure of polynomial roots, polynomials with pairs of…

Descriptors: Algebra

Biasi, C.; Zuffi, E.M. – International Journal of Mathematical Education in Science and Technology, 2005

The main purpose in this note is to provide a generalization of the concept of mean, using the algebraic structure of commutative semigroups. Also, the pedagogical aim is to discuss with undergraduate math students the idea of generalizing a concept or a structure as a typical mathematical activity.

Descriptors: Generalization, Mathematics Education

Stols, G. H. – International Journal of Mathematical Education in Science and Technology, 2005

This paper explores a geometrical way to sketch graphs of the general quadratic in two variables with Geometer's Sketchpad. To do this, a geometric procedure as described by De Temple is used, bearing in mind that this general quadratic equation (1) represents all the possible conics (conics sections), and the fact that five points (no three of…

Descriptors: Geometric Concepts, Geometry

Luo, Q.-M. – International Journal of Mathematical Education in Science and Technology, 2005

This note presents a new proof of Gould's famous formula for the Bernoulli numbers.

Descriptors: Notetaking

El-Gebeily, M. A.; Fiagbedzi, Y. A. – International Journal of Mathematical Education in Science and Technology, 2004

The coordinates of an n-dimensional regular simplex are found. These coordinates are used to derive properties of the regular simplex that generalize their two- and three-dimensional counterparts.

Descriptors: Inclusive Schools, Visual Aids, Art Education

Aliev, Nihan; Jahanshahi, Mohammad – International Journal of Mathematical Education in Science and Technology, 2002

Boundary value problems (BVPs) for partial differential equations are common in mathematical physics. The differential equation is often considered in simple and symmetric regions, such as a circle, cube, cylinder, etc., with global and separable boundary conditions. In this paper and other works of the authors, a general method is used for the…

Descriptors: Calculus, Equations (Mathematics), Mathematics Education, Physics

Peer reviewed

Monaghan, John – International Journal of Mathematical Education in Science and Technology, 2000

Algebraic calculators with symbolic manipulation capabilities are tools in some classrooms for 14-19 year olds, and their use in learning and teaching mathematics is likely to increase over time. Explains the reports of government-initiated working groups that consider the implications of their use in academic mathematics examinations for…

Descriptors: Algebra, Calculators, Evaluation, Foreign Countries

Peer reviewed

Becker, Jerry P.; Hsi, Kathy C. – International Journal of Mathematical Education in Science and Technology, 1980

This article briefly discusses changes taking place in the People's Republic of China with respect to mathematics curricula, examinations, olympiad contests, and other education-related activities, such as productive labor obligations of students and teachers. (Author/TG)

Descriptors: Educational Improvement, Elementary Secondary Education, Experiential Learning, Mathematics Curriculum