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该研究以汉、蒙古、朝鲜族初中学生共614人为研究对象,比较分析了三个民族学生的几何认知水平、男女生几何认知水平、几何认知水平对数学成就的影响。主要采用问卷调查法和访谈法,并利用SPSS17.0对调查数据进行了因素分析、T检验、单因素方差分析、相关分析、回归分析等。研究结果显示,汉、蒙古、朝鲜族初中学生仅达到直观水平,而且在每个水平上存在民族差异;男女生的几何认知水平不存在显著的民族差异;三个民族的几何认知水平对其数学成就都有显著影响,但具有影响的几何认知水平不同。在此研究的基础上提出了几点建议及未来研究方向。
In this study, a total of 614 Chinese, Mongolian and Korean junior high school students were selected as research objects. The geometric cognition, geometrical cognitive level and geometrical cognitive level of three ethnic students were comparatively analyzed. Mainly using the questionnaire survey and interview method, and the use of SPSS17.0 survey data were analyzed by factor analysis, T test, one-way ANOVA, correlation analysis, regression analysis. The results show that Han, Mongolia and Korean junior middle school students reach the level of intuition only, and there are ethnic differences at every level. There is no significant ethnic difference between male and female students’ geometric cognition. The geometric cognition of the three ethnic groups Their mathematical achievements have a significant impact, but the impact of different levels of geometric cognition. Based on this research, I put forward some suggestions and future research directions.