SUMMARY
PARMJIT SINGH
I. Background
The purpose of this study was to construct an understanding of two grade six students’ proportional reasoning schemes. Since students have difficulty reasoning multiplicatively is necessary for proportional reasoning, it is important to find ways to help students reason proportionally. The goal of this analysis was to determine what knowledge was critical for understanding ratio and proportion. The two main issues to be discussed will be the multiplicative schemes and the nature of students’ proportional reasoning.
As children move from additive to multiplicative reasoning with whole numbers, there are two significant related changes, changes in what the numbers are and changes in what the number are about. The researcher believes that multiplicative reasoning is an entry point to the world of ratio and proportion. He will elaborate how students’ thinking of composite unit schemes can develop into proportional reasoning. Read More…




