The nature and purposes of secondary school mathematics are discussed, with specific analysis of the role of algebra. Appropriate topics are suggested, with elaboration on level of abstraction and usefulness. (DT)

In this study children between the ages of 3 and 6 years were each presented with six number problems in which length and density were varied according to the proposed composition rules. (Authors)

In this first of two articles, computational algorithms for multiplication and division which encourage use of one operation at a time are proposed. (DT)

The column presents activities for grades K-8 focusing on the concept of equality. A geometric-puzzle motif is used, with basic number facts reviewed for the lower grades and equivalent fractions for the upper levels. Four worksheets and a problem poster are included. (DT)

After briefly presenting possible origins for the use of the decimal system for counting and the duodecimal (base twelve) system for many measures, a notational scheme using six positive'' digits and six negative'' digits is presented. Examples and algorithms using this set of digits for operations with whole numbers, fractions, and in…

A teaching aid called EOPDICA (Electrically Operated Panel for Displaying Illuminated Colored Arrays) is described; suggestions for its use in teaching sets, elementary number theory, and place value and numeration are given. (DT)

The Russian-peasant algorithm for multiplication is described and then extended to developing an algorithm for renaming base ten numbers in other number bases. (DT)

Worksheets are provided which use basic geometric forms as a vehicle for student discovery of efficient counting procedures and of counting patterns. (DT)