The present problem was derived from the knowledge that if the midpoints of the sides of any quadrilateral are connected, a parallelogram would be obtained. The author explores what would happen if similar procedures were applied to pentagons, hexagons, and other geometric forms. (RP)

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)