Mathematical concepts to be used in the classroom - Pythagorean Triads" A Chain of Parabolas," and others. (RP)

Presents three algorithms for changing decimal fractions to basic five (quinary) fractions, or for any base to "b-ary fractions. (RP)

Presents a technique for an inductive proof of a theorem from Pascal's triangle. (RP)

Discusses three problems preschool teachers should consider when aiming to facilitate children's mathematical activity: (1) How may young children relate to the necessarily abstract basis of mathematics? (2) When is a child's activity mathematical? (3) How may "mathematical" language, concepts, and experiences be appropriately defined?…

An approach to teaching the proof of Lagrange's theorem reverses the traditional path of instruction. The route described first teaches that the order of an element always divides the order of the group, then moves to proving that the order of a subgroup divides the order of the group. (MP)

Suggests mathematics readiness activities that teachers and parents can use with preschoolers: comparing shapes and sizes; counting; and learning quantitative concepts such as "less" and "more." (SJL)

A mathematical technique for solving for the interest rate of a given annuity is explained. The technique is applied to a BASIC program that finds interest rate given the future value, number of payments, and the value of the payment. (MP)

A brief history of Amalie Emmy Noether is presented, citing many of her contributions to mathematics and physics. Major credit for the development of modern algebra should probably be given to her. Reference is made to Noether's theorem and Noetherian Rings. (MP)

The wide applicability and great usefulness of mathematics are illustrated. No comprehensive definition of mathematics is given, but salient features of mathematics are discussed. (MK)

The concept of proof is discussed from a "human" viewpoint. The author concludes that "a good proof is one which makes us wiser." (MP)

A review of the statement and history of the Four-Color theorem is followed by an explanation of Appel and Haken's solution of the problem with a computer-aided proof. This is seen as the first proof in mathematics that would not be done without a computer. (MP)