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)

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)

Mathematical worksheets are presented for use in the elementary school classroom. The sheets deal with arithmetic and number patterns, one being for the primary grades, the other for grades 4 to 8. (RS)

Activities with triangular, square, pentagonal, hexagonal, and octagonal numbers are briefly discussed. (MNS)

A procedure for recording the prime factors of a composite number is explained. (DT)

This six month study investigated the similarities and differences between 137 fourth graders' understanding of and reasoning about multiplication, division, and proportion tasks. All students were administered a pretest mid-year and a posttest at the end of year. A sample of 18 students was interviewed individually on tasks involving reasoning…

A multiplication algorithm based on a perfect square is described. (SD)

A method is discussed for learning the multiplication tables that avoid repeating tables everyday or memorizing a large body of facts at the same time. (MN)

A method for obtaining the least common multiple and the greatest common factor of a pair of numbers without using prime factorization is examined. (JT)

Discussed is the topic of least common multiple (LCM), a rationale for its importance, and suggestions for when and how to teach it. (RH)

Using factoring as an aid to mental multiplication is illustrated. Other suggestions for teaching mental computation are also included. (MNS)