Mathematics educators are intensely interested in how mathematics is taught and learned in other countries. In Korea, for instance, the college entrance examination has played a major role in shaping Korean mathematics education (Kwon 2006). All high school students who want to pursue a college degree are required to take a college entrance…

The material opens with a brief history of mathematics competitions in China. Translations of the problems that made up the two 1979 contest papers used are provided. The first set emphasized basic knowledge and degree of mastery, the second set emphasized application of knowledge and analysis of problems. (MP)

The Australian Mathematics Competition was designed around the content of common school mathematics, and thus is intended for almost all mathematics students, not just exceptional ones. The competition's conceptual and organizational basis and the three levels of competition papers are described. Sample questions are included. (MNS)

Some examples of how students read test items are presented. The results of interviews with students who have taken a multiple-choice test indicate that they do not always solve problems on the test the way we think they do. (JP)

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)

Results of the second mathematics assessment of the National Assessment of Educational Progress (NAEP) are analyzed with regard to the performance of 13- and 17-year-olds on probability exercises. The results suggest that this area has been neglected in mathematics instruction. (MP)

The results of a school district's move to proficiency testing in mathematics are described and discussed. (MK)

The first nationwide effort of industry, education, and government to promote excellence in mathematics through a junior high school mathematics competition is described. The rationale for MATHCOUNTS, the organizational structure, the format, and mathematics content are described. Contains some sample items. (MNS)

Results from the third national mathematics assessment indicate that the decline in performance of 17 year olds between 1973 and 1978 has leveled out over the last four years, and 13 year olds' performance improved significantly between 1978 and 1982. However, most gains were on lower-order skills. (MNS)