Mathematics in the primary schools is discussed. This bulletin puts forth some suggestions to assist individual teachers in reaching their own decisions about changes and developments in the curriculum. The bulletin is divided into nine chapters. Two factors described in Chapter 1 and 2 support views expressed in the introduction. First, the changes now affecting mathematics are part of a wider movement enveloping the whole pattern of education. Secondly, the research undertaken during the past 20 years into the psychology of learning provides unchallengeable evidence that sound and lasting learning can be achieved only through active participation. Chapters 3, 4, 5 and 6 comprise the mathematics which teachers have found to be within the capabilities of primary school children of widely differing abilities. Chapters 7 to 9 are directly concerned with teachers' problems. (Author/CK)