The minimum number and type of whole-unit weights needed to balance any object is extended to the situation where weights may be placed on both pans of a balance scale. (DT)

A method for finding a fraction having a value between two given fractions is illustrated and proved. (DT)

Some techniques are given for relating the English system of liquid measure to base two numeration. (DT)

A 30-minute lesson on exponents was taught to 249 fourth graders assigned randomly to groups of 1, 2, 5, or 23. Students in the smaller groups had better attainment of ten objectives than did those in the group of 23. Individual instruction was better than instruction in groups of five. (MS)

Completing a picture by connecting appropriate dots is used as a vehicle for a drill exercise in number facts. Two worksheets are provided. (DT)

The problem of evaluating a student's mathematics project is discussed. (MM)

An outline of the way that fractions might be presented in ninth grade algebra is given, and implications for elementary school instruction are noted. (DT)

The ability of 135 first, second, and third grade classes to solve open sentences involving sums between 10 and 18 was investigated. Performance appeared to be related to grade level, operation, the position of the placeholder, and the existence of a solution within the set of whole numbers. (Author/DT)