对初中学段数学抽象能力的教学思考  

Reflection on Mathematical Abstraction Ability Teaching in Middle School

作　　者：邢成云 王尚志[2,3] Xing Chengyun;Wang Shangzhi

机构地区：[1]山东省滨州市教育科学研究院,滨州256206 [2]首都师范大学,北京100048 [3]教育部普通高中数学课程标准研制组、修订组

出　　处：《课程．教材．教法》2023年第9期114-120,共7页Curriculum，Teaching Material and Method

摘　　要：抽象是数学的基本特征,也是用数学眼光观察现实世界的基本方式。数学化的过程就是抽象的过程。在课堂教学中落实并加强数学抽象能力培养可以体现在以下八个方面:在概念的来龙去脉中,在命题(公式、性质、法则、定理)或原理的形成与发展中,在规律的探索与应用过程中,在几何直观的形成与发展过程中,在数学建模及其应用过程中,在数学思想方法的凝练过程中,在解题(解决问题)的过程中,在三种语言的转换过程中。A bstraction is the basic feature of mathematics and the basic way to observe the real world with mathematical vision.The process of mathematicization is an abstract process.Implementing and strengthening mathematical abstract abi lity cultivation in classroom teaching can be reflected in the context of concept,in the formation and development of proposition or principle(formula,property,law and theorem),in the exploration and application of law,in the formation and development of geometry,in mathematical modeling and its application,in the summary of ma thematical thinking methods,in problem-solving and in the transformation of three languages.

关 键 词：课程标准 数学抽象 抽象能力 培养路径 

分 类 号：G633.6[文化科学—教育学]