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《数学课程标准(2011年版)》提出了几何直观这一核心概念,并且指出:“几何直观主要是指利用图形描述和分析问题。借助几何直观可以把复杂的数学问题变得简明、形象,有助于探索解决问题的思路,预测结果。几何直观可以帮助学生直观地理解数学,在整个数学学习过程中都发挥着重要作用。”可见,几何直观对于小学生数学知识的理解以及数学能力的培养都有着重要的作用。如何培养小学生的几何直观呢?笔者在实际教学中发现,小学生正处于皮亚杰所说的具体运算阶段,抽象思维能力有限,因此,复杂而抽象的几何模型很难在学生头脑中一下
The Mathematical Curriculum Standard (2011 Edition) presents the core concept of geometric intuition and points out: “Geometrical intuition mainly refers to the use of graphics to describe and analyze problems. With geometric intuition, complicated mathematical problems can be simplified, Help to explore the problem-solving ideas and predict the result.Geometry visualization can help students to understand mathematics intuitively, and play an important role in the whole process of mathematics learning. ”" Visible, geometric intuition for pupils understanding of mathematical knowledge and mathematical ability Training has an important role. How to cultivate pupils’ geometric intuition? In the actual teaching, the author discovers that the pupils are in the specific operation stage described by Piaget and the abstraction ability is limited. Therefore, it is very difficult for the complex and abstract geometric models to be in the minds of the students