
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.
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 53 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 10% | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 10% |
