Identifying and Tracking Student Conceptions of Mathematics
摘要
Students’ conceptions of mathematics can influence how they participate in mathematical practices such as mathematical modelling. In this chapter we address the following research questions: What conceptions of mathematics are held by Victorian Year 11 students and how are these conceptions changed by experiencing a collaborative modelling intervention as part of their mathematics lessons? Data sources included responses to a Conceptions of Mathematics Questionnaire, Metaphor Assessment Instrument, and interviews. These were analysed for indications of Number, Components, Abstract, Modelling, and Life conceptions. Radar diagrams compared conceptions within a class and across time points. Pre-intervention there was quite a variation in conceptions in several classes with Modelling and Life conceptions usually the least developed. Post-intervention there was less variation in all classes except the least sophisticated mathematically class. There was a positive shift in conceptions after the intervention for most students but for some their Modelling or Life conceptions did not improve or narrowed.