数学基本活动经验主成分和层次水平划分研究

Research on the Principal Component and Hierarchical Level Division of the Mathematical Activity Experience

在文献分析和调查研究基础上,给出了数学基本活动经验构成要素的研究假设,通过自编测试卷进行题目测试,借助因素分析找出了数学基本活动经验的4个主成分,分别是归纳概括、类比推广、数学表达、证明;借助聚类分析得到数学基本活动经验的层次水平划分.

The article investigated the integrant parts of students＇ mathematical activity experience based on literature analysis and investigation. By factor analysis, four principle components were determined which were inductive generalization, analogy extension, mathematical expression, mathematical prove. By cluster analysis, hierarchical level diversion of mathematical activity experience were also determined. The research would prompt the implantations of curriculum objectives and core competences of mathematics.