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人教A版、北师大版、苏教版高中三角函数教材的对比分析
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Abstract:
随着《普通高中数学课程标准(2017年版2020年修订)》的实施,不同版本教材在三角函数内容的编排与呈现上呈现出多样化特点。为深入理解各版本教材的编写理念与特色,本研究选取人教A版、北师大版、苏教版三种现行高中数学教材,采用文献分析法、内容分析法和对比研究法,从知识结构、内容广度和深度、思维导图、例题习题设置、信息技术应用等维度,系统对比分析了各版本教材中三角函数内容的异同。研究发现,人教A版注重知识结构的系统性与逻辑性,北师大版强调探究式学习与情境设计,苏教版则突出数学文化的融入与信息技术的应用。基于对比结果,提出优化教学设计、整合跨版本资源以及强化核心素养培养路径等建议。
With the implementation of the General High School Mathematics Curriculum Standards (2017 Edition Revised in 2020), different versions of textbooks present diverse features in the arrangement and presentation of trigonometric function content. In order to deeply understand the writing concepts and characteristics of each version of the textbook, this study selected three current high school mathematics textbooks, namely, People’s Education Press A Edition, Beijing Normal University Edition and Jiangsu Education Edition, and systematically compared and analyzed the similarities and differences of trigonometric function contents in each version of the textbook from the dimensions of knowledge structure, content breadth and depth, thinking map, example exercises setting, and application of information technology by adopting the methods of literature analysis, content analysis, and comparative study. It was found that the People’s Education Press A Edition focuses on the systematic and logical nature of the knowledge structure, the Beijing Normal University Edition emphasizes inquiry-based learning and contextual design, and the Jiangsu Education Edition highlights the integration of mathematical culture and the application of information technology. Based on the comparison results, suggestions were made to optimize instructional design, integrate cross-version resources, and strengthen the core literacy development pathway.
[1] | 王小佳. 解读《普通高中数学课程标准(2017年版)》的新变化[J]. 当代教育实践与教学研究, 2019(8): 233-234. |
[2] | 朱少卿, 胡典顺, 林丹. 中美两套教材中三角函数的比较研究[J]. 数学通报, 2014, 53(10): 46-50+55. |
[3] | 佘丹. 高中三角函数内容深度的实证研究——基于大学数学专业的学习[J]. 数学教育学报, 2016, 25(6): 85-87+92. |
[4] | 付钰, 张景斌. 中美数学教材三角函数习题的比较研究[J]. 数学教育学报, 2018, 27(3): 14-18. |
[5] | 黄翠荣. 人教A版新旧教材三角函数习题的比较研究[J]. 产业与科技论坛, 2021, 20(24): 86-87. |
[6] | 胡凤娟, 吕世虎. 高中数学教材中信息技术与函数内容融合的研究——以2019年6个版本高中数学新教材为例[J]. 当代教育与文化, 2021, 13(3): 46-54. |