把握数学本质，提升数学抽象能力

Grasp the Essence of Mathematics and Improve the Ability of Abstraction

摘要: 抽象性是数学的一个重要特性，其贯穿于数学知识的产生、发展和应用的全过程。挖掘数学本质、领会数学思想方法是培养以及提升学生数学抽象能力的重要方式。本文以如何提升数学抽象能力为主线，首先分析数学抽象能力的相关概念及教育价值，然后从概念、命题、数学思想方法和数学结构四个方面挖掘数学本质，最后结合教学实例提出若干提升数学抽象能力的方法，希望能为培养学生的数学抽象能力提供有用的建议。

Abstract: Abstraction is an important feature of mathematics, throughout the whole process of the birth, development and application of mathematics. Mining the essence of mathematics and comprehending the mathematical ideas are important ways to cultivate and improve students’ mathematical abstraction ability. This paper focuses on how to improve mathematical abstraction ability. We first analyze the related concepts and educational value of mathematical abstraction ability, and then explore the essence of mathematics from four aspects: concept, proposition, mathematical thought methods and mathematical result. Finally, combined with teaching cases, some methods to improve mathematical abstraction ability are proposed. It is hoped that this paper can provide useful suggestions for cultivating students’ mathematical abstraction ability.