
02356362
j
2004a.00452
Christou, Constantinos
Philippou, George
Mapping and development of intuitive proportional thinking.
J. Math. Behav. 20, No. 3, 321336 (2001).
2001
Elsevier, New York, NY
EN
F82
conceptual fields
doi:10.1016/S07323123(02)000779
The purpose of this study was twofold. First, to find out students' informal understanding of proportional problems, and discuss their solution strategies. Second, to investigate how the intuitions developed by students influence in their strategies to solve proportional problems. To this end, we interviewed 16 students in Grades 4 and 5, while they were solving proportional problems. It was found that students intuitively used the unitrate strategy indicating an attempt to transfer the knowledge resulted by their experience with solving simple multiplicative problems. Fourth and fifth graders tended to shift from the unitrate strategy to other strategies if there was no easy way to calculate the unitvalue directly from the context of the problems. Since fifth graders were more comfortable than fourth graders in calculating the univalue, they felt less the need to invent other solution strategies. (orig.)