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本文指出直观性这一古老的教学原则至今仍为重要的教学手段,过去所沿用的大都是几何直观。文章简要地举例说明几何直观在中学数学教学中的应用以及如何对图形进行“变式”、(正)迁移等技术性处理的方法,以更好地发挥直观性的正作用。接着指出,当思维由低层次向高层次发展时,直观手段亦相应地随着深化。然而,由于直观手段自身存在的推理不够严密等缺陷以及随着现代数学的内容逐渐渗透进中学数学教材,使中学数学成为一门更抽象、更严密的学科。因而,直观手段亦应有所扩大。本文提出了逻辑直观的概念,并举例说明其意义与应用,从而在发展学生的逻辑思维、提高学生的逻辑思维能力方面,开辟了一条新的途径。
This paper points out that the ancient teaching principle of intuition is still an important teaching method. Most of the traditional teaching methods used in the past were geometric intuitions. The article briefly illustrates the application of geometric intuition in mathematics teaching in middle schools and how to perform “transformation” and (positive) migration and other technical processing methods to better play the positive effects of intuition. It is then pointed out that when thinking develops from a low level to a high level, intuitive means are correspondingly deepened. However, due to the insufficiency of intuition, such as insufficiency of reasoning, and the infiltration of modern mathematics into high school mathematics textbooks, secondary mathematics has become a more abstract and more rigorous discipline. Therefore, the intuitive means should also be expanded. This article proposes the concept of logical intuition, and exemplifies its significance and application, thus opening up a new way in the development of students’ logical thinking and improving students’ logical thinking ability.