Abstract
Division of whole numbers is traditionally accepted as a part of the elementary school mathematics program and is considered to be the most difficult of the four basic operations with whole numbers. The Greenwood algorithm is employed in most contemporary elementary tex tbooks to initially develop the recording process. The common usage of the Greenwood algorithm for division of whole numbers today is largely due to the study by Van Engen and Gibb, General Mental Functions Associated with Division (1956). Later, in almost all textbook series, the standard algorithm is used for the final recording process. Van Engen and Gibb, however, did not recommend converting to the standard algorithm after learning the Greenwood algorithm. This trans ition stage is the source of substantial difficulty for many pupils. lf the standard algorithm is to be the terminal algorithm, then perhaps an approach that initially employs the standard algorithm should be used.
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