A modified method of regrouping the minuend for subtraction is described. This more flexible method decreases the number of steps in the subtraction process and in checking the regrouping. (SD)

Answers and examples are given to sixteen questions related to traditional ways of performing the operations of arithmetic. (MP)

The mathematics associated with division is discussed, working from a theorem for the real division algorithm. Real-world, geometric, and algebraic approaches are discussed, as are related topics. (MNS)

The author taught one group using the traditional subtraction algorithm and one using an equal additions algorithm. Students in the latter group showed greater success than the former. (SD)

Two difficulties that students have in computing with fractions are idenfitied. Then a procedure is described, stressing the identity element, that resolves these difficulties and increases students' understanding and retention. (MNS)

This article explains the generation of Kaprekar's constant in terms that upper elementary pupils can understand. The procedure is explained and the result proven. This is an example of a new, interesting problem for students that gives them drill in subtraction at the same time. (LS)

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)