Previous research has shown that secondary school students' understanding of fractions is dominated by the part-whole concept to the possible detriment of their understanding of a fraction as a number in its own right. The present paper reports on an investigation into the understanding of intending primary teachers in this area. Four representatives of a cohort of sixty students on a PGCE course specialising in the lower primary age range were asked detailed questions probing their knowledge of @actions. The conclusion was that the part-whole concept dominates. All of the students were familiar with the numerical concept from their work on the PGCE course, but they reverted to the more familiar part-whole ideas in attempting to solve problems.
INTRODUCTIONStudent teachers studying for the primary age phase have the difficult task of gaining sufficient mastery in a range of academic subjects to be able to teach each subject effectively to the full ability range of children, including the most able. This study focuses on one aspect of mathematics, rational numbers, in which children's understanding has been found to be limited, (Hart et al, 198 1, Kerslake, 1986). In my work with serving and student teachers on aspects of mathematical subject knowledge and pedagogy, 'fractions' persistently emerges as an area in which the teachers feel insecure. The purpose of the study, therefore, was to investigate whether student teachers demonstrated the same conceptual limitations as primary and secondary age children. The students in the study were graduates training to teach in the lower-primary age range. The particular focus was the concept of a fraction as a number in its own right, as opposed to a description of part of some well defined whole, for example a pizza or a rectangle.