数学的抽象性对学生学习数学的影响

The Influence of the Abstractness of Mathematics on Students Learning Mathematics

数学的本质属性在于其抽象性,而这种抽象性不仅影响着数学教学的目标、内容、方式,同样也影响着学生在学习过程中的情感态度。实际教学中,教师要善于引导学生把抽象的内容转化为形象的、具体的内容。在数学教学中,抽象概念、抽象原理以及抽象规则在教学中起着关键作用,它们不仅可以使学生产生深刻印象,更能够帮助学生形成对所学知识结构、思维方式以及数学思想方法的认识和理解。学抽象性,是指将抽象事物、抽象过程转化为具体事物、具体结果的一种能力。是反映数学本质特点和发展趋势的重要特征之一,它使学生在思维中把握概念的本质内容。通过分析数学抽象的含义、阐述抽象与现实的联系,探讨数学的抽象性对学生学习数学的影响,并提出在教学中如何提升学生的数学抽象能力。

The essential attribute of mathematics lies in its abstractness,which not only affects the goal,content and method of mathematics teaching,but also affects the students emotional attitude in the process of learning.In the actual teaching,the teacher should be good at guiding the students to transform the abstract content into the vivid and concrete content.In mathematics teaching,abstract concepts,abstract principles and abstract rules play a key role in teaching,it can help students to form the knowledge structure,thinking mode and mathematical thinking and understanding.Academic abstractness refers to the ability of transforming abstract things and abstract processes into concrete things and concrete results.It is one of the important characteristics that reflect the essential characteristics and development trend of mathematics,and it enables students to grasp the essential content of concepts in their thinking.This paper will explain the meaning of mathematical abstraction and the relationship between abstraction and reality,and discuss the influence of mathematical abstraction on students learning mathematics,and propose how to improve students mathematical abstraction ability in teaching.