The relationship between mathematics and music has been investigated for thousands of years. Presented are the mathematical features of music through a study of melody, harmony, and rhythm, and the musical features of mathematics through a study of pattern, ratio, modular arithmetic, Pythagorean triples, and number sequences. (MDH)

Provided is a set of six activities demonstrating how mathematical connections can be made using the concept of rectangle. The activities relating rectangle to factoring whole numbers, prime numbers, and calculating the area of rectangles, triangles, parallelograms, and circles, are also connected to each other. (MDH)

The harmonic mean, neglected in favor of arithmetic and geometric means in modern mathematics, is defined and its historical relationship to music as presented by Pythagoras is described. Two geometric constructions present a picture of harmony, and an application in calculating the square root of a number is given. (MDH)

Discusses the derivation of Pick's theorem. However, this derivation is beyond the grasp of most high school students. Therefore, a sequence of simple exploratory activities is provided which will enable students to discover and apply Pick's theorem for finding the area of a polygon whose vertices are lattice points. (JN)

Discusses strengths and weaknesses of the Report of the Committee of Inquiry into the Teaching of Mathematics in Schools (Cockcroft report). Points out that the report should be considered by Australian teachers since it addresses issues which are pertinent to the teaching of mathematics in Australian schools. (JN)

Presents an application of the binomial distribution in which the distribution is used to detect differences between the sensory properties of food products. Included is a BASIC computer program listing used to generate triangle and duo-trio test results. (JN)

Three activities on the right justified multiple triangle are presented. The activities are designed for use in practicing computational skills and for discovering number patterns. (JN)

Presents a sample lesson plan (suitable for grades 6-10) and examples of other problems useful in teaching data processing skills. The plan (focusing on planning investigations, data collection, and data processing) is based on the Data Processing Operation Guide, a 10-step model of intellectual operations that can be used in problem solving. (JN)

On the Australian Mathematics Competition, boys responded correctly to more questions than did girls, but this difference came largely from a handful of questions. Responses to questions where sex differences occurred are discussed. (MNS)

Plotting a polynomial over the range of real numbers when its derivative contains complex roots is discussed. The polynomials are graphed by calculating the minimums, maximums, and zeros of the function. (MNS)

The recommendations of the Commonwealth Schools Commission's National Advisory Committee on Computers in Schools are summarized. They are classified in terms of curriculum development, professional development, support services, software and courseware, hardware, and organization. (MNS)

This article examines male and female enrollment trends for the final two years of secondary schooling in Australia for the years 1970-79. Enrollment distributions in the various mathematics courses available in each state are presented, and possible reasons for the trends are identified. (MNS)

The author stresses that students need a thorough understanding of certain mathematical ideas in order to write adequate computer programs. He presents some examples using BASIC and LOGO and discusses writing programs as a mathematical exercise and using mathematics in programing. (MNS)

This review comments on the Cockcroft Report on the status of mathematics instruction in England and Wales. Sections focus on the terms of reference, pressures on schools, practical experience, oral and mental work, differentiated curriculum, the foundation list of topics, and examinations, with quotes from the Report. (MNS)

As a way to dispel negative feelings toward mathematics, a variety of quotations are given. They are categorized by: what mathematics is, mathematicians, mathematics and other disciplines, different areas of mathematics, mathematics and humor, applications of mathematics, and pure versus applied mathematics. (MNS)