Pre-service teachers' representations of children's understanding of mathematical concepts: conflicts and conflict resolution

The purpose of this study was to investigate the extent to which research experience could enhance pre-service teachers' understanding of children's knowledge of mathematical concepts. A group of five pre-service teachers designed and conducted a study of children's understanding of fractions. As participant-observers throughout their study we gathered evidence of change in pre-service teachers' representations of children's knowledge of fractions. The focus of our observations was on the conflicts generated by the gaps between the pre-service teachers' research findings and their representations of the children's knowledge of fractions. Results indicate that research experience is fruitful in developing an inquisitive disposition in pre-service teachers and in sensitizing future teachers to children's knowledge of a mathematical concept. Pre-service teachers became familiar with the research literature regarding children's understanding of fractions, they questioned the typical instructional sequence of teaching fractions and they scrutinized methods of assessing children's knowledge of mathematical topics.