高中数学教材“指数函数与对数函数”内容的比较研究———以人教A版、苏教版和北师大版为例

A comparative study on the contents of "exponential function and logarithmic function" in high school mathematics textbooks: Taking People's Education Press A edition, Jiangsu Phoenix Education Publishing edition, and Beijing Normal University Press edition as examples

摘要

为了让教师更好地选择和整合教学内容,从知识编排、信息技术应用2个维度对人教A版、苏教版和北师大版高中数学教材“指数函数与对数函数”内容进行比较分析.结果表明:在章节位置上,该内容均在必修第一册,但章主题各不相同,而且苏教版将此内容编排在2个章节,人教A版和北师大版则编排在同一章节;在知识含量上,苏教版多了指数函数与对数函数图象的变换,人教A版和苏教版都有函数的应用,人教A版和北师大版都有不同函数增长的差异,不同的知识编排顺序体现了不同的侧重点;在信息技术应用上,人教A版更重视信息技术的应用,北师大版则应用较少,苏教版应用要求更高.基于此,给出建议:分析课程标准和不同版本教材,选择合适的教学内容;注重知识的逻辑顺序,构建完整的知识体系.

Abstract

In order to help teachers better select and integrate teaching content, a comparative analysis was conducted on the contents of "exponential functions and logarithmic functions" in high school mathematics textbooks in People's Education Press (PEP) A edition, Jiangsu Phoenix Education Publishing (JPEP) edition, and Beijing Normal University Press (BNUP) edition from two perspectives of knowledge arrangement and information technology application. The results show that in terms of chapter position, the content is all located in the first volume of the compulsory books, but the chapter themes are different. JPEP edition arranges the content in two chapters, while PEP A edition and BNUP edition arrange it in the same chapter. In terms of knowledge content, JPEP edition adds the image transformations of exponential functions and logarithmic functions, PEP A edition and JPEP edition both have the applications of functions, PEP A edition and BNUP edition both have the differences in the growth of different functions, and different knowledge arrangement sequence reflects different emphases. In terms of the application of information technology, the PEP A edition pays more attention to it, while BNUP edition pays less, and JPEP edition has higher requirements on it. Based on this, some suggestions are given to analyze the curriculum standards and different versions of textbooks and select appropriate teaching contents; pay attention to the logical sequence of knowledge and build a complete knowledge system.

关键词

指数函数 / 对数函数 / 内容编排 / 信息技术

Key words

exponential function / logarithmic function / content arrangement / information technology

参考文献

[1] 王保红, 韩龙淑. 数学教材研究的分层厘思[J]. 教学与管理, 2023(9): 69-72.

[2] 马吴艳. 科学使用数学教材的策略[J]. 数学大世界(下旬), 2022(12): 15-16.

[3] 齐星星. 中日高中数学教材“指数函数与对数函数”内容比较研究[D]. 武汉: 华中师范大学, 2022: 2.

[4] 教育部. 普通高中数学课程标准:2017年版2020年修订[S]. 北京: 人民教育出版社.

[5] 叶立群. 回顾与思考:中小学教材建设40年(1949—1989)管窥[J]. 华东师范大学学报(教育科学版), 1992(2): 1-32.

[6] 张世锟. 领悟教材编排意图探求课堂高效途径:以北师大版小学数学教材为例[J]. 甘肃教育, 2020(14): 132.

[7] 蒋志恒. 初中数学教师使用信息技术辅助教学情况的调查与思考:以南京市秦淮区为例[J]. 数学之友, 2022, 36(14): 85-88.

[8] 张梦勤, 陈碧芬. 高中数学新教材逻辑结构对比研究:以人教A版和北师大版教材中的“三角函数”一章为例[J]. 中小学教材教学, 2023(1): 22-26.