Several motions of infinity are examined with reference to children at various ages. (CT)

An algebra in which the basic operations correspond to lowest common multiple and greatest common factor is developed through questions which can be explored by the able high school mathematics student. (FL)

The author discusses how quantitative aspects enrich and clarify our knowledge of history. Statistical concepts of population and economic value are described for the Pilgrims, the American Revolution, and the Civil War. (RS)

Discusses the traditional number systems and the origin of the number names used by several African peoples living south of the Sahara. Also included are limitations in African mathematical development, and possible topics for research. (RP)

Provided is an activity designed to give grades 7-12 students opportunities to discover numerical patterns and to derive general conclusions from observing data. The activity focuses attention on patterns in products such as 33x34, 333x334, and 3333x3334. Three worksheets and answers are included. (JN)

An investigation concerning the sum of square digits is described to show college mathematics students how mathematicians really work. A computer program is included. (MNS)

How mathematics subject matter can be enhanced through the scientific reasoning method, how this integration can be achieved, adaptations needed for a modified approach, and resulting attainments are all considered. Prime numbers using the Sieve of Erastosthenes are the vehicle through which the approach is described. (MNS)