基于数学学科核心素养的普通高中数学教科书与课程标准比较分析--以人教A版中的“函数”习题为例

Comparative analysis of mathematics textbook and curriculum standard in general high school based on core competence of mathematics subject:A case study of the“function”exercises in the A edition of the People′s Education

以喻平教授的数学核心素养评价框架为研究工具,以人教A版普通高中数学教科书"函数"内容习题和《课程标准(2017年版)》为研究对象,在核心素养视角下对二者进行了比较分析,得出以下结论:人教A版普通高中数学教科书"函数"内容习题与《课程标准(2017年版)》在一定程度上存在一致性,但是不具有统计学上的意义,整体表现一般;虽然人教A版普通高中数学教科书在"函数"主题部分已经参照了数学学科核心素养,并且在一定程度上对各个核心素养及其不同水平都进行了测查,且整体处于中等水平,但是距离《课程标准(2017年版)》的要求还存在一定的差距.建议围绕课标要求,综合提高核心素养测查的平衡性,把握数学本质,适当增加高级认知水平的权重.

Taking Professor YU Ping′s evaluation framework of mathematics core competence as the research tool and selecting the″function″exercises of general high school mathematics textbook in the A edition of the People′s Education and″Curriculum Standard(2017 Edition)″as the research objects,we made the comparative analysis between them from the perspective of core competence,and drew the following conclusions:the exercises of″function″in the general high school mathematics textbook in the A edition of the People′s Education are consistent with the Curriculum Standard(2017 Edition)to a certain extent,but not statistically significant,and the overall performance is average.Although the high school mathematics textbook in the A edition of People′s Education has referred to the core competence of mathematics in the topic part of″function″,each core literacy and its different levels have been tested,to a certain extent,and the overall level is at a medium level,but there is still a certain gap in the requirements of the″Curriculum Standards(2017 Edition)″.It is suggested to comprehensively improve the balance of core competence measurement,grasp the essence of mathematics and increase the weight of advanced cognitive level appropriately according to the requirements of curriculum standard.