Describes the Recognizing and Recording Reform in Mathematics Education Project created to monitor the implementation of the NCTM Standards and monitor a broader program of research and development. Discusses key issues in mathematics reform and describes the methodology of the project. (Contains 10 references.) (MKR)

Details of an 18-lesson unit of instruction that has been used successfully with eighth-, ninth-, and tenth-grade classes are presented. Each lesson centers around individual computer programs written in Applesoft BASIC. Copies of two programs are provided, and ways to acquire the other 16 are noted. (MP)

Details are provided about the American High School Mathematics Examination (AHSME), the American Invitational Mathematics Examination (AIME), and the USA Mathematical Olympiad (USAMO). The AIME will first be offered in 1983 as an intermediate examination between the AHSME and the USAMO. An appendix provides several sample problems. (MP)

The nature of an investigation into numbers termed Nearly Isosceles Pythagorean Triples (NIPTs) is detailed. The exploration, even though it is stated to have no practical value, is defended as helping pupils see the beauty of patterns in mathematics. Two questions regarding the pattern of generating NIPTs are noted. (MP)

Described is a two-week summer residential program designed for students who have been identified through one of several middle school talent searches. Discussed are the assumptions and goals, course content and pedagogy, evaluation, and materials of the program. (CW)

The advanced study program sponsored by the U.S. Naval Academy for the Anne Arundel Public Schools is described. Graphs, Games, and Puzzles and Strange Algebras are two of the courses presented. (MNS)