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在小学数学教学中,教师应培养学生几何直观的能力,有助于提高学生的解决问题能力。让学生画画简单的示意图,可以直观形象地发现解决问题的策略,也能很直观地发现解题的错误,进行修正与提高。借助几何直观图推理,有利于培养学生的直观推理能力。学生在探究的过程中积极主动地获取了知识,培养了自主探究的能力,发展了解决问题的能力。数学家克莱因认为:“数学的直观是对概念、证明的直接把握”。[1]蒋文蔚先生指出,几何直观是一种
In primary mathematics teaching, teachers should develop students ’ability of geometric intuition and help to improve students’ ability to solve problems. Allow students to draw a simple sketch map, you can visually find the solution to the problem of the strategy, but also can intuitively find the problem-solving errors, to amend and improve. With the geometric intuitionistic reasoning, it is helpful to develop students’ intuitive reasoning ability. Students in the process of inquiry proactively acquired knowledge, cultivate the ability of independent inquiry, the development of the ability to solve problems. The mathematician Klein thinks: “The intuition of mathematics is the direct grasp of concepts and proofs.” [1] Mr. Jiang Wenwei pointed out that geometric intuition is a kind