This article discusses a relatively unnoticed application of mathematics by describing its connection with an aspect of music, in particular, the musical scales. Stemming from a problem found in a Year 9 mathematics textbook commonly used in Singapore, the article illustrates the role of mathematics in musical scales by first considering the…

In higher education today, mathematics has been marginalized: except to a tiny elite, it is either taught as a tool required for the study of other sciences or it is entirely absent. Yet mathematics has been and is an essential ingredient in our understanding and mastery of the physical world, our economic life, our information technology and,…

This study focuses on the constructions in terms of area and perimeter in equivalent triangles developed by students aged 12-15 years-old, using the tools provided by Cabri-Geometry II [Labore (1990). "Cabri-Geometry (software)," Universite de Grenoble]. Twenty-five students participated in a learning experiment where they were asked to construct:…

In this article, the author describes the Space Camp at the U.S. Space & Rocket Center in Huntsville, Alabama, where deaf and hard of hearing students can pilot spaceships, conduct experiments, and dodge meteorites. Each year in the spring, students from schools all over the United States attend a one-week, hands-on learning experience in…

A set of computer-oriented, supplemental activities is offered which can be used with a course in advanced algebra and trigonometry. The activities involve use of the BASIC programming language; it is assumed that the teacher is familiar with programming in BASIC. Students will learn some BASIC; however, the intent is not to develop proficient…

During a classroom investigation of Goldbach's conjecture a student proposed that every even number is the difference of two primes. A table of values is reproduced here, and the history of this problem is briefly discussed. (SD)

The game of "Life" can be easily adapted for play by small groups and can be used in classroom activities. (SD)

The author's experience in leading activities related to the Mobius strip to a fourth-grade class is discussed. (SD)

The system of International Standard Book Numbers uses a check code based on modular arithmetic. This system, the use of a simple machine to compute check digits, and related classroom activities are described. (SD)

The mathematics of the game "Instant Insanity" is described in terms of graph theory, a part of combinational mathematics. (SD)

The second Indiana Mathematics Contest included tests in Algebra (First Course), Geometry, Algebra (Second Course), and Comprehensive. Test-writing responsibilities were delegated to mathematics and mathematics education faculties at four state universities, with the mathematical content based on course objectives in the state guidelines. Fourteen…

The Louisiana Educational Assessment Program (LEAP) Grade 11 Test is designed to measure proficiency in four subject areas including English, mathematics, social studies, and science. This guide for mathematics is intended to provide a description of the way in which specific skill areas are assessed on the LEAP test and instructional…

This paper describes a framework for making sense of the relationship between emotions, cognition, mathematical activity, and mathematical beliefs. Subjects were participants in a special mathematics anxiety program. Beliefs are classified as instrumental and relational approaches to a situation. Emotion is also distinguished as a two-faceted…

On a triangular grid of equilateral triangles an analytical procedure is presented for solving puzzles that require one to measure out a specified amount of liquid from containers of various volumes. (JP)