聚焦数学抽象素养的教材案例研究——数学概念界定的视角  

Textbook Case Study of Training Mathematical Abstraction Literacy:From the Perspective of Concept Definition

作　　者：陈静安[1] 易文辉 孟胜奇 CHEN Jing'an;YI Wenhui;MENG Shengqi(Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong, 510303, P.R.China;The Institute of Teaching Research in Dongguan, Dongguan, Guangdong, 523000, P.R.China;Dongguan No.1 Middle School, Dongguan, Guangdong, 523000, P.R.China)

机构地区：[1]广东第二师范学院,广东广州510303 [2]东莞市教育局教研室,广东东莞523000 [3]东莞市第一中学,广东东莞523000

出　　处：《广东第二师范学院学报》2020年第1期46-52,共7页Journal of Guangdong University of Education

基　　金：广东省高等教育教学研究和改革项目“小学数学卓越教师培养高效课堂教学模式构建(2019170)”;广东第二师范学院教学质量与教学改革工程项目“数学教师教育课程教学团队”(2019jxtd01);广东第二师范学院教授专项基金课题“数学教师专业发展研究”(2013ARF21)

摘　　要：教材是教学的依据和蓝本,教材作为学科数学的重要载体,一个重要的目标就是要把数学知识的学术形态转化为教育形态。数学知识在学术形态和教育形态之间进行转换时,必须坚持严谨性和量力性相结合的原则。现行数学教材中少数概念界定,没有充分满足学生力所能及的量力性,严谨性存在缺失,制约了学生抽象素养的发展。数学教材中的概念界定及其遣词用句,应力求基于学生力所能及基础上的严谨,力求准确、简洁、避免歧义,力求体现数学概念的形成与发展;以助力师生的数学理解,助力提高教师概念教学设计的质效,助力学生数学抽象素养的发展。Textbook is the basis and blueprint of teaching.As an important carrier of subject mathematics,textbook has an important goal to transform the academic form of mathematical knowledge into the educational form.When transforming the mathematical knowledge between academic form and educational form,we must adhere to the principle of combining rigorousness with strength.The definition of some concepts in current mathematics textbooks does not fully meet the students'capacity and the requirements of rigorousness,which hinder the development of students'abstract literacy.The definition of concepts and the use of words and sentences in mathematics textbooks should be based on the rigorousness within students'abilities,should be accurate,concise and unambiguous,and should also reflect the formation and development of mathematical concepts,so as to help teachers and students understand mathematics,improve the quality of teachers'conceptual teaching design and help students develop their mathematical abstraction literacy.

关 键 词：抽象素养 教材 概念 严谨性 

分 类 号：G633.6[文化科学—教育学]