高中数学新教材“圆锥曲线”内容编写比较——以人教A版、北师大版和湘教版教材为例  

Comparison of the content compilation of"conic curve"in the new high school mathematics textbook:Taking the textbooks of People's Education Edition A,Beijing Normal University edition,and Hunan Education edition as examples

作　　者：邹耀飘 夏体静 黄晓梅 ZOU Yaopiao;XIA Tijing;HUANG Xiaomei(School of Mathematical Sciences,Guizhou Normal University,Gui′an New District Guizhou 550025)

机构地区：[1]贵州师范大学数学科学学院,贵州贵安新区550025

出　　处：《辽宁师专学报(自然科学版)》2024年第4期4-9,105,共7页Journal of Liaoning Normal College(Natural Science Edition)

摘　　要：基于教材比较研究现状,以“圆锥曲线”内容为例,对国内不同版本高中数学教材从教材编排体系、概念引入、栏目和习题数量、呈现方式、文化渗透等5个方面进行“以点带面”式的对比研究.结果显示:在编排体系上,知识点大致相同,但北师大版划分最为精细;在“量”的比较上,人教A版栏目设置更精细,湘教版栏目更具特色,北师大版习题数量最多;在内容呈现方式上,北师大版在编排上更有梯度;在数学文化渗透上,湘教版数学文化融入更为丰富.针对研究结论,从建构基本概念、采取分层教学、整合单元设计3个方面给出“圆锥曲线”部分的教学建议,旨在帮助高中数学教师充分了解不同版本教材“圆锥曲线”内容编写异同,更好地开展教学活动.Based on the current situation of comparative research on textbooks,taking the content of"conic curve"as an example,this paper conducts a"from point to area"comparative study on different versions of high school mathematics textbooks in China from five aspects of textbook arrangement system,concept introduction,column and exercise quantity,presentation method,and cultural infiltration.The results show that in the arrangement system,the knowledge points are roughly the same,but the Beijing Normal University edition is the most finely divided;in the comparison of"quantity",the People's Education Edition A has more refined column settings,and the Hunan Education edition has more distinctive columns,the Beijing Normal University version has the largest number of exercises;in the way of content presentation,Beijing Normal University edition has more gradient in the arrangement;in terms of the infiltration of mathematical culture,the Hunan Education edition has enriched the integration of mathematical culture.Based on the research conclusions,this paper gives some teaching suggestions on"conic curve"from three aspects:constructing basic concepts,adopting stratified teaching,and integrating unit design,which aims at helping senior high school mathematics teachers fully understand the similarities and differences in the content compilation of"conic curve"in different versions of textbooks,so as to better carry out teaching activities.

关 键 词：高中数学教材 圆锥曲线 比较 

分 类 号：G633.6[文化科学—教育学]