我国八年级学生数学表征能力的调查研究

A investigation on Mathematical Representational Competency for Grade 8 Students in China

本研究以义务教育阶段学生数学表征能力评价框架为依据，编制了一组测试题，对我国八个地区 八年级学生的数学表征能力作了测试，结果显示：（1)我国学生数学表征能力总体上处于第二水平（联系）向 第三水平（反思）过渡阶段；（2)系统间表征好于系统内表征，且二者高度相关；（3)男生数学表征能力平 均水平低于女生，且差异性更大；（4)各地区在各题目上表现的差异性都较大。

Based on an assessment and analytical framework of K12 mathematical representational and translate competency in China， we compiled a test to investigate the Mathematical Representational Competency for Grade 8 students in China. It shows that： (1) the mathematical representational competency of most of the students is between “connection” and “reflection” levels; (2) the competency of representation systems is better than in a mathematical system， and they are highly correlated； (3) the mean level of representational competency of boys is lower than that of girls; (4) there are differences in different regions.