摘要
从Van Hiele几何思维理论可知,学生几何思维的良好发展有利于其认知、空间想象及逻辑推理等能力的培养.在Van Hiele几何思维水平的理论基础上,构建初中生几何思维水平结构方程模型,利用测试数据分析所建模型的合理性并修正模型.在模型检验合理的情况下,进行模型参数拟合并探讨各几何思维水平间的影响关系以及各几何思维水平下的具体表现.所得研究结果不仅可为几何思维水平的理论研究提供新视角,还可拓宽结构方程模型的应用领域.
According to Van Hiele’s theory of geometric thinking,the good development of students’geometric thinking is conducive to the cultivation of their cognitive,spatial imagination,and logical reasoning abilities.On the basis of theory for Van Hiele’s level of geometric thinking,a structural equation theoretical model of geometric thinking level for junior high school students is constructed.Using test data,the rationality of the constructed model is analyzed and the model correction is given.On the basis of reasonable model verification,the model parameters are fitted and the relationship between different levels of geometric thinking is explored,as well as the specific performance under each level of geometric thinking.The research results obtained not only provide a new perspective for theoretical research on geometric thinking level,but also broaden the application fields of structural equation model.
作者
辛晓彤
刘敬娜
刘霞
宋昕阳
赵立纯
XIN Xiaotong;LIU Jingna;LIU Xia;SONG Xinyang;ZHAO Lichun(School of Mathematics,Anshan Normal University,Anshan Liaoning 114007,China)
出处
《鞍山师范学院学报》
2024年第2期26-30,共5页
Journal of Anshan Normal University
基金
辽宁省教学改革项目(2021-668)
鞍山师范学院大学生创新创业训练计划项目(202310169157).
关键词
Van
Hiele几何思维水平
结构方程模型
模型修正
量化分析
Van Hiele’s level of geometric thinking
Structural equation model
Model correction
Quantitative analysis
