In the view of many Americans, our schools have failed to produce literate graduates. Although some people always have held this view, the launching of Sputnik in 1957 gave it national and international exposure. From that time forward the "failings" of our schools repeatedly have been the subject of media attention. These failings include failing to teach respect; graduating students who cannot read, write, or spell adequately; producing students who are not literate in geography, history, the sciences, or mathematics; and the list continues.This discussion concentrates on the area of mathematics. Internationally our students are ranked near the bottom in comparative studies of mathematics achievement. The business community finds this appalling and demands a workforce that is better educated, possesses greater skill in mathematics, is more familiar with the technology necessary to conduct business_ and to communicate in today's world, and, above all, has "common sense" in making decisions. There is increasing concern that America is relinquishing its role as a leader in technological advancement. As a consequence, the schools are experiencing increasing pressure to solve these problems.The discussion here examines one aspect of a potential solution to the problem of poor mathematics achievement. We focus on specific research findings in the area of forgetting, and examine the implications for year-round schooling. The implications, of course, go far beyond the mathematics curriculum.