Task cards are discussed as a tool for learning. Examples of measurement and number activities that are appropriate for task cards are given. (MP)

A sequence of numbers from combinatorial theory called the Bell numbers is discussed, along with several problems and examples that demonstrate their usefulness. (MN)

Algorithms are developed and presented for the addition and multiplication of positive rational numbers using only their repeating decimal representation. (MN)

An approach close to the original Greek geometric point of view regarding the question and proof of the irrationality of the square root of two is given. (MN)

This article gives two methods of resolving natural numbers into prime factors. Depending upon the number that is being resolved, one method may be better to use than the other. However, it is difficult to tell beforehand which is the better method to employ. Examples are given. (Author/MA)

As an aid to students of Russian, two general rules concerning numerals are suggested: rule of the genitive case and rule of the case of "enumerated object." These rules, together with five secondary rules and corresponding declension forms, define the numeral system. (Text is in Russian.) (SK)

Some pedagogical problems in Chinese numeration are described. They involve the teaching and learning of how to speak numerals with fluency in Chinese, using Hindu-Arabic written numbers. An alternative approach which stresses regularity is proposed. (MNS)

Tests for divisibility in bases 2 through 10 are presented. Two strategies used by a group of fourth-year students are described. (MNS)

Some background information and guidelines on computer generation of random numbers is presented. Sections concern ways of generating random numbers and descriptions of statistical tests. (MNS)

A divisibility test for the number 7 is analyzed, and the general method is considered for other numbers. (DT)

A puzzle concerning whole numbers is analyzed and extended to different number bases. (DT)

Plans are given for the construction of a "counting frame." This device consists of beads strung on a wire and used as a counting aid. (JP)