The Development of Students' Strategies about “The Decimal Multiplied by The Decimal, The Decimal Divided by The Decimal”

Abstract

The purpose of our research is to clarify what type of strategies students of each level or each stage use and how respective strategies develop in relation to the scales for assessing the degrees of students' understanding about “ The Decimal Multiplied by The Decimal, The Decimal Divided by The Decimal ”. 177 students on X defined as a set of 12 multiplicative questions, 185 students on Y defined as a set of 11 divisional questions, and 187students on Z defined as a set of 13 divisonal questions were subjects of analyses. A s a result of analyses, we clarifyed thefollowig. (1)For X , there was the difference between 5th grades and 6th grades on the score , which depends on their strategies, but for Y and Z, there wasn't the difference on the scores. (2)We knew it was easy for students to understand the situations of questions in order of ' X → Z → Y '.