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

Considerations of the history of similar techniques and the structure of the method itself are used to discuss this question. (MP)

A discussion is given of a method of finger reckoning in which the numbers one through ten are represented by one's fingers. (MP)

Focuses on the study of the sum of two integer squares, neither of which is zero square. Develops some new interesting and nonstandard ideas that can be put to use in number theory class, mathematics club meetings, or popular lectures. (ASK)

Indicates that there has been a lot of work done and that a great deal needs to be done in the future to explore the world of children's early number. Discusses the counting, the use of algorithm, practical mathematics, the use of manipulatives, individual differences and pedagogical concerns, and classroom applications. Contains 18 references.…

Presents reform efforts aiming to combat underachievement in mathematics through the introduction of successful Continental pedagogy into the teaching of number concepts. Discusses the pedagogy and its introduction into the Borough's schools. Addresses some criticisms that have been leveled at the reforms. (ASK)

Numeracy may become a focus on the teaching and assessment of basic number skills. Such a focus on numeracy may de-emphasize the aim for numeracy, which is using mathematics in real contexts where the purpose of the activity is something other than just learning school mathematics. (Contains 11 references.) (ASK)

Argues for the rich development of mathematical ideas that can flow from considering the apparently simple question of finding a divisibility test for the number six. Presents approaches to teaching this topic that could be interesting to teachers. (ASK)

As with natural numbers, a greatest common divisor of two Gaussian (complex) integers "a" and "b" is a Gaussian integer "d" that is a common divisor of both "a" and "b". This article explores an algorithm for such gcds that is easy to do by hand.

This document reports on a small-group teaching experiment whose goal was to understand how fourth- and sixth-grade children develop concepts of common and decimal fractions. Both the Grade 6 and the Grade 4/5 children were taught common and decimal fractions through discussion and by using manipulatives, beginning with basic concepts of common…

This booklet was written to provide elementary-school teachers with an overview of some of the research results related to the development of computational skills, together with ideas for classroom activities which have grown out of research projects. The booklet is organized into twelve sections, the first of which is devoted to delineating the…

This paper discusses the use of Stern teaching materials with children with Down syndrome. The theory underlying the design of the materials is discussed, the teaching approach and methodology are described and evidence supporting effectiveness is outlined. (Contains 2 figures.)