鞍山师范学院学报2024,Vol.26Issue(2) :26-30.

初中生几何思维水平结构方程模型的构建与分析

Constructing and Analysis of Structural Equation Model of Junior High School Students'Levels of Thinking in Geometry

辛晓彤 刘敬娜 刘霞 宋昕阳 赵立纯
鞍山师范学院学报2024,Vol.26Issue(2) :26-30.

初中生几何思维水平结构方程模型的构建与分析

Constructing and Analysis of Structural Equation Model of Junior High School Students'Levels of Thinking in Geometry

辛晓彤 1刘敬娜 1刘霞 1宋昕阳 1赵立纯1
扫码查看

作者信息

  • 1. 鞍山师范学院 数学学院,辽宁 鞍山 114007
  • 折叠

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.

Abstract

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.

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

Key words

Van Hiele's level of geometric thinking/Structural equation model/Model correction/Quantita-tive analysis

引用本文复制引用

基金项目

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(202310169157)

出版年

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
参考文献量7
段落导航相关论文