Describes some unsolved problems in geometry, as well as some recently solved ones. Indicates that each advance generates more problems than it solves, thus ensuring a constant growth in unsolved problems. (GA)

The development of symbolic computer algebra designed to manipulate abstract mathematical expressions is discussed. The ability of this software to mimic the standard patterns of human problem solving represents a major advance toward "true" artificial intelligence. (MP)

Describes the active role which regional Japanese laboratories are playing in specific fields of applied research such as: (1) pollution of the sea; (2) developing methods of coping with the exceptional variety of natural disasters; and (3) preparing for earthquake. (HM)

Presents the pro and con of the use of calculators in the classroom. Some feel that calculators make learning mathematics more fun and when used for creative problem solving provide student motivation. Others feel that dependence on the calculators will result in students unable to do simple mathematics on paper. (GS)

Reports that microcomputer use will help six year-old children solve some types of problems better but will not improve their general learning and thinking abilities. Logo programing resulted in higher creativity scores and in children's ability to monitor their own thinking, but revolutionary changes in cognitive development were not found. (DH)

Presents a series of policy recommendations for mathematics education in the 1980s from the National Council of Teachers of Mathematics. The emphasis is on problem solving and computer literacy as part of the education of every student. (SA)