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几何直观包括两层含义:一是指构造图形描述问题;二是指利用图形分析问题。其实质是利用图形产生直接认识,或者借助图形进行分析和推理、展开想象的能力。几何直观在小学数学学习中发挥着无可替代的作用。正如数学家希尔伯特指出,图形可以帮助我们发现、描述研究的问题;可以帮助我们寻求解决问题的思路;可以帮助我们理解和记忆结果等。具体来说,在小学数学教学中,几何直观的教学价值表现在以下几个方面。
Geometrical intuition includes two meanings: one refers to the construction of graphic description of the problem; two refers to the use of graphical analysis of the problem. Its essence is the use of graphics to produce direct understanding, or with the help of graphics analysis and reasoning, expand the imagination. Geometry intuition plays an irreplaceable role in elementary mathematics learning. As the mathematician Hilbert pointed out, graphics can help us find and describe research problems; can help us to seek solutions to problems and ideas; help us to understand and remember the results. Specifically, in elementary mathematics teaching, the value of geometric intuition teaching is manifested in the following aspects.