Conceptual gain and successful problem-solving in primary school mathematics

This study investigated the effects of children solving addition and subtra ction problems collaboratively in comparison with solving problems in the t raditional manner of the classroom. Seventy-seven children were divided int o experimental and control groups, the experimental children being assigned to groups of four with note taken of the ability and gender mix. Following a pre-test-intervention-post-test design, the experimental children worked together in their groups using problem-solving guidelines to solve a numbe r of problems, thereafter 'teaching' their problem to a fellow pupil. Each child worked on six problems over a 3-week period, three of the problems in their groups subsequently teaching them to another, the other three proble ms being taught to them by another child. Over the same time period, the co ntrol group solved the same problems working individually at their desks. The pre- and post-tests were analysed for number of problems correct or 'sc ore', problem-solving strategy and execution of procedures, with pre-test s cores being subtracted fi om post-test scores to give measures of change. T he results indicated a main effect of ability on strategy change and a two- way interaction between gender and condition. They also indicated a main ef fect of condition for execution of procedures. Dialogue analyses indicated that more below average children improved their strategy understanding by l istening to peers. The results themselves revealed variations in the way th at children of different ability levels and gender can benefit from collabo rative group work and thus have some interesting implications for the organ isation of collaborative groups in the classroom.