基于Achieve工具的高中数学教科书习题与《课程标准》一致性研究———以平面向量及其应用为例

Research on consistency between exercises and Curriculum Standards in high school mathematics textbooks based on Achieve tool: A case study of plane vector and its application

摘要

在新课程改革背景下,教科书课后习题的编制是否合理地表征《课程标准》的要求,对数学教学的有效实施及学生数学核心素养的发展至关重要.利用Achieve一致性分析工具,对人教版《普通高中教科书数学A版必修第二册》第六章“平面向量及其应用”课后习题与《课程标准》要求进行一致性分析.研究表明,第六章课后习题与《课程标准》在内容向心性、挑战的来源、部分内容的挑战层次、平衡、范围等指标上的一致性较好;但在表现向心性指标上,课后习题与《课程标准》未达到一致性标准的要求.基于此,提出以《课程标准》为导向,准确把控课后习题数量与难度、优化课后习题设计等课程教学与习题编制建议.

Abstract

In the context of the new curriculum reform, whether the compilation of after-school exercises in textbooks can reasonably represent the requirements of the Curriculum Standards is crucial to the effective implementation of mathematics teaching and the development of students' core mathematical literacy. The Achieve consistency analysis tool is used to analyze the consistency of the after-class exercises of "Plane Vector and its Application" in Chapter 6 of the Second Compulsory Volume of Mathematics A Edition of Senior High School Textbook in People's Education Edition with the requirements of the Curriculum Standards. The research shows that the content centrality, the source of the challenge, the level, balance and scope of the challenge in partial content are consistent with the Curriculum Standards in Chapter 6. However, in the index of performance centrality, the after-school exercises and the Curriculum Standards do not meet the requirements of the consistency standards. Based on this, some suggestions for curriculum teaching and exercise compilation are proposed to take the Curriculum Standards as the guide, accurately control the number and difficulty of after-school exercises and optimize the design of after-school exercises.

关键词

Achieve工具 / 《课程标准》 / 课后习题 / 一致性

Key words

Achieve tool / Curriculum Standards / after-school exercises / consistency

参考文献

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