The use of trigonometry in making astronomical calculations prior to the invention of logarithms is discussed. (JT)

Three different geometric constructions of the parabola are described.

Low achievers get involved in intuitive mathematics by discovering geometric relationships through the use of pentamino puzzles. (JT)

In this address to the Australian Association of Mathematics Teachers the author advocates the use of historical topics in the mathematics classroom. He refers heavily to the 31st yearbook of the National Council of Mathematics; other references are provided. (SD)

The author opines that traditional activities related to set theory are repetitive and uninteresting to secondary students. She suggests new activities of several types. (SD)

Designs and arrangements of pentominoes are examined. (SD)

Discusses a strategy for teaching degrees of freedom (in conjunction with sampling theory). The strategy, used successfully with students who have completed no more than beginning secondary school algebra, involves drawing items from a pool of five in a hat while explaining sample means and variances. (DH)

Concrete problems were significantly less difficult than abstract problems at both junior and senior high school levels, as previously observed at elementary school level. Factual problems were significantly less difficult than hypothetical problems at junior and senior high school levels, in contrast to elementary school results. (MNS)

Including difference equations in the mathematics curriculum is proposed. Some fundamental ideas and examples are presented. (MNS)

The evolution of complex numbers is described, followed by discussion of some lessons that can be learned from this story, as with other stories from the history of mathematics. Suggestions for teachers about incorporating history into mathematics instruction are included. (MNS)

Described is a project, "Mathematics at Work," being produced by the Australian Academy of Science to meet the needs of students staying in school to years 11 and 12 and requiring a "relevant" mathematics curriculum. Materials have been produced and are being used in a trial program. Additional materials are in preparation.…

Described are a variety of mathematical games that can be played on a chess board and using either chess pieces or counters that move according to chess-piece moves. (RH)

The Mathematical Olympiad Training Session is designed to give United States students a problem-oriented exposure to subject areas (algebra, geometry, number theory, combinatorics, and inequalities) through an intensive three-week course. Techniques used during the session, with three sample problems and their solutions, are presented. (JN)

Described is a computer program that uses an interesting matrix method to generate Pythagorean triples. Program listings and output for two programs are included. (MNS)

Reported are several attempts to approximate Pi by using a microcomputer to calculate the ratio of the perimeter to the diameter of regular polygons enscribed in a circle. Three computer programs are listed. (MNS)