Abstract
Research has shown that young children possess a considerable store of mathematical ideas (particularly about number) when they start formal schooling. This paper describes an attempt that was made to use these ideas as the starting point for a course in mathematics education for first year students at university. Students were given an interview schedule and were asked to interview one or two five year olds over two sessions. Between interviews the students met back at university to discuss and reflect upon the children's responses, and to prepare for the second interview. In a questionnaire administered one week afrer the second interview, the university students were asked to comment on what surprised them about the five year olds'responses. These were, in order offrequency, that the children knewso much "maths", that they were so open and co-operative, and that their ideas and strategies were se different from those of the interviewer. The implications of these are discussed in the paper.
KEN CARR
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