首页|初中生几何思维水平结构方程模型的构建与分析

初中生几何思维水平结构方程模型的构建与分析

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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.
Constructing and Analysis of Structural Equation Model of Junior High School Students'Levels of Thinking in Geometry
According to Van Hiele's theory of geometric thinking,the good development of students'geomet-ric thinking is conducive to the cultivation of their cognitive,spatial imagination,and logical reasoning abili-ties.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 appli-cation fields of structural equation model.

Van Hiele's level of geometric thinkingStructural equation modelModel correctionQuantita-tive analysis

辛晓彤、刘敬娜、刘霞、宋昕阳、赵立纯

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鞍山师范学院 数学学院,辽宁 鞍山 114007

Van Hiele几何思维水平 结构方程模型 模型修正 量化分析

辽宁省教学改革项目鞍山师范学院大学生创新创业训练计划

2021-668202310169157

2024

鞍山师范学院学报
鞍山师范学院

鞍山师范学院学报

影响因子:0.321
ISSN:1008-2441
年,卷(期):2024.26(2)
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