Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9649454 | The Journal of Mathematical Behavior | 2005 | 17 Pages |
Abstract
This study involved an investigation of the relationship between the kinds of solution representations Chinese and U.S. students use and the sorts of pedagogical representations Chinese and U.S. teachers use during instruction. The findings suggest that the representations teachers use influence the representations their students use and, hence, have an impact upon the students' problem solving. One of the practical implications of the findings is that if students are given the opportunity to construct their own representations of mathematical concepts, rules, and relationships, they also should be encouraged to develop the ability to use symbolic representations, rather than to rely on concrete ones. In addition, the finding that the Chinese teachers in this study overwhelmingly used symbolic representations for the solutions of instructional tasks, whereas the U.S. teachers relied almost exclusively on verbal explanations and pictorial representations, indicates that pedagogical practice is constrained by social and cultural factors.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jinfa Cai, Frank K. Jr.,