
06661644
j
2016f.00879
Li, Yeping
Silver, Edward A.
Can younger students succeed where older students fail? An examination of third graders' solutions of a divisionwithremainder (DWR) problem.
J. Math. Behav. 19, No. 2, 233246 (2000).
2000
Elsevier, New York, NY
EN
F32
D72
problem solving
sense making
division
elementary school students
mathematics cognition
doi:10.1016/S07323123(00)000468
Summary: In this study, 14 third graders, who had not yet been taught the division algorithm (DA), solved a divisionwithremainder (DWR) problem, and their solution processes were examined. Students also solved a set of eight numerical computation tasks involving addition, subtraction, multiplication, and division. In contrast to their poor performance on the division computation tasks and in contrast to the findings in previous studies of DWR problem solving by middleschool students and to the third graders in this study were quite successful in solving the DWR problem. Although the students lacked knowledge of formal procedures for division computation, they successfully used nondivision solution strategies that were closely tied to problem context in order to solve the problem. In general, the results indicate that student performance in solving this complex problem was enhanced by their engagement in sense making as they solved the DWR problem. The highly contextembedded approaches used by these students also allowed them to avoid the difficulties in treating the ``remainder,'' as have been reported in research involving older students.