高中生逻辑推理素养测评研究与实践——以A城市为例

Research and Practice on Evaluation of Logical Reasoning Competences of High School Students——Taking City A as an Example

当前已有学者提出高中数学核心素养测评的宏观理论框架,在此基础上,继续探索具有可操作性的高中数学核心素养测评方法并付诸实践是必要的。研究首先通过对专家、学者的调查,初步建立高中生数学逻辑推理素养测评的五个维度,其次编制测试卷对高中生数学逻辑推理素养进行测评。根据测试结果,研究者采用方差扩大因子法消除共线性,利用多元回归分析方法进行分析,最终确定影响高中生数学逻辑推理素养的最关键因素,并分析高中生的数学逻辑推理素养的一般状况,采用聚类分析方法划分高中生逻辑推理素养的水平划分。

At present,some scholars have put forward the macro theoretical framework for the evaluation of high school mathematics key competences.Based on that,it is necessary to continue to explore the operable evaluation methods of high school mathematics key competences and put them into practice.Inthis study,first,through the investigation of experts and scholars,five dimensions of the assessment of high school students'mathematical logical reasoning competence are initially established.Secondly,testing papershave beendesigned to evaluate the high school students'mathematical logical reasoning competence.According to the test results,the method of variance inflation is adopted to eliminate collinearity,and the statistical method ofmultivariate regression is used for analysisso as to finally determine the most critical factors for high school students'mathematical logic reasoning competence,and analyze its general situation.Moreover,clustering method is used to classify the level of logical reasoning competence of high school students.