基于结构方程的几何直观能力测评模型构建

Research on constructing assessment model of geometrical intuition ability by using structural equation model

几何直观能力是指形成图形的认识并利用图形描述与分析数学问题的能力。它是数学核心素养的一个重要指标,也是人的形象思维和抽象思维发展的基础,在小学数学的教学与测评中意义重大同时也是个难题。通过文献梳理及专家咨询、测试调查、问卷调查等实证方法,探索小学生几何直观能力的测评指标,基于结构方程构建了小学生几何直观能力的测评模型:Y=0.30A+0.35B+0.35C。该模型是测评小学生几何直观能力的有效工具。

Geometrical intuition ability refers to the ability of mastering graphics, and using the graph- ics to describe and analyze mathematics problems. It is the basis for the development of image thinking and abstract thinking. It is of great significance and also a difficult problem in the elementary school mathematics teaching and assessment. Through literature review and employing the empirical research methods including expert consultation, students＇ testing,teachers＇ questionnaire, etc, we explore ele- mentary school students geometrical intuition ability assessment indicators, and the elementary school students assessment model of the geometrical intuition ability, namelyY = 0. 3A ＋ 0. 35B ＋ 0. 35C ,was constructed by using structural equation model. This assessment model is an effective tool to assess the geometrical intuition ability for elementary school students.