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1、关于培养学生初步的逻辑思维能力。数学这门学科具有三大特点——严密的逻辑性、高度的抽象性和应用的广泛性。数学学科的这种特点决定着它在培养学生逻辑思维能力方面有着特别的作用。由于小学生，特别是低年级学生，形象思维是支柱，所以，培养逻辑思维能力的要求只能是“初步的”，过急、过高的要求是不切合实际的。但另一方面，决不能因为是“初步的”，就不去重视。而必须从头开始，注意“逐步培养”。实际教学中，往往存在两种偏向：一是忽视形象思维，过早地进行抽象；二是停留在形象思维，未及时进行抽象。两者都不利于培养逻辑思维能力，必须注意纠正。
1, on the cultivation of students initial logical thinking ability. Mathematics has three major characteristics of this discipline - strict logic, a high degree of abstraction and application of extensive. This characteristic of mathematics determines that it has a special role to play in developing students' ability to think logically. Since pupils, especially those in lower grades, are the pillars of their imagery, it is impractical to cultivate the ability of logical thinking to be “preliminary”, overly urgent and overly demanding. But on the other hand, we must not neglect to pay attention because it is “preliminary.” And we must start from scratch, pay attention to “gradual development.” In actual teaching, there are often two kinds of biases: one is ignoring the thinking of images and prematurely abstracting; the other is staying in the thinking of images and not abstracting in time. Both are not conducive to cultivate logical thinking ability, we must pay attention to correct.