数学教科书弧度制引入的必要性与合理性探析  

Exploring the Necessity and Rationality of Introducing Radian System in Mathematics Textbook

作　　者：康玥媛 王光明 史宁中[3] Kang Yueyuan;Wang Guangming;Shi Ningzhong

机构地区：[1]天津师范大学教育学部,天津300084 [2]天津市教育科学研究院,天津300191 [3]东北师范大学,长春130024

出　　处：《课程.教材.教法》2024年第12期109-114,共6页Curriculum,Teaching Material and Method

基　　金：教育部人文社会科学研究项目“减负提质背景下中小学生学习效率智能体检系统研发及应用研究”(22YJC880025)。

摘　　要：弧度制的引入满足了角度与长度测量单位以及角度量单位进制统一化的双重需求,满足了数学内在一致性的需求,符合数学史发展的逻辑,并与数学的简洁性原则相契合,是其在数学和自然科学等领域具有广泛应用价值的必然结果。教科书在引入弧度制时应着重强调统一的度量单位和进制的重要性,以及其在数学领域及其他领域中的广泛应用价值,并且凸显数学内在一致性的需求,与历史发展逻辑一致,与数学的简洁性原则相契合。教科书编写应体现时代性要求,适当融入数智时代相关内容背景信息,数智赋能拓展弧度制课程资源。Introducing radian system meets the dual need for the unification of the unit of measurement of angle,length and angular metric system,satisfies the need for the inherent consistency of mathematics,follows the development logic of mathematics history,and is consistent with the simplicity principle of mathematics,which is the result of its wide application in the field of mathematics and natural science.When introducing radian system,textbook should emphasize the importance of unified unit of measurement and system as well as its wide application in mathematics and other fields,highlight the need for internal consistency of mathematics,and follow the logic of historical development and the simplicity principle of mathematics.Textbook compilation should reflect the requirements of time,incorporate the background information of the age of digital intelligence,and empower the expansion of the curriculum resource of radian system.

关 键 词：数学教科书 弧度制 必要性 合理性 简洁性 

分 类 号：G633.6[文化科学—教育学]