Several ways to present two theorems (concerning a square matrix and a property of prime numbers) are demonstrated. One way for each theorem is more stimulating, better setting the stage for the proofs. Several methods of presenting proofs are illustrated, with the outcomes considered from the learner's viewpoint. (MNS)

Worksheets on 3 x 3 magic squares are provided: one emphasizes recognition of results when a square is flipped or rotated; the other two give practice in computation with whole numbers, fractions, decimals, and integers. (DT)

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

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)

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)