数学抽象性及其对数学教育的影响  

The Abstract Nature of Mathematics and Its Influence on Mathematics Education

作　　者：付夕联[1] 冯滨鲁[2] 张玉峰[3] FU Xi-lian;FENG Bin-lu;ZHANG Yu-feng(Shandong University of Technology, Zibo 255049 China;Wei fang University, Weifang 261061 China;China University of Mining and Technology, Xuzhou 221116, China)

机构地区：[1]山东理工大学,山东淄博255049 [2]潍坊学院,山东潍坊261061 [3]中国矿业大学,江苏徐州221116

出　　处：《潍坊学院学报》2018年第6期61-65,共5页Journal of Weifang University

摘　　要：从数学的定义、数学知识的形态以及数学三大特性之间的关系分析了数学的抽象性;指出层次性、符号化、形式化是数学抽象的特性,理想化只是数学抽象的一种特殊抽象形式,不应作为数学抽象的特性;在数学教学过程中,运用数学抽象性及其特点对于数学教学策略的设计、数学学科关键能力的认知及培养具有重要意义。The abstraction of mathematics is analyzed from the definition of mathematics, the form of mathematical knowledge and the relationship between the three major characteristics of mathematics. It is pointed out that hierarchy, semiotics and formalization are the characteristics of mathematical abstraction. An idealized abstraction is a special form of mathematics abstraction, it should not be a mathematical abstraction.In mathematics teaching The application of mathematical abstraction and its characteristics is of great significance to the design of mathematics teaching strategies and the recognition and cultivation of key competence in mathematics subjects.

关 键 词：数学抽象性 层次性 理想化 学科关键能力 

分 类 号：G421[文化科学—课程与教学论]