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20世纪初,克莱因提出了以函数概念和思想来统一数学教育内容的重要思想,他认为“函数概念,应该成为数学教育的灵魂。以函数概念为中心,将全部数学教材集中在它周围,进行充分地综合”。因此函数成为中学数学教学内容最重要的一条主线。针对函数内容在教材中的设置与学习问题,新课标是这样提出的:像函数这样的核心概念,要多次接触、反复体会、螺旋上升,逐步加深理解,才能真正掌握,灵活应用……还要注意明确相关内容在不同模块的要求及前后联系,注意使学生在已有的基础上螺旋上升、逐步提高。由此可见,正确地理解和贯彻执行“螺旋上升、全面渗透”这一理论,自然成为中学数学教师教育理念和教学方式等多层面认真探究和思考的新课题。
In the early 20th century, Klein put forward the important idea of unifying the content of mathematics education with the concept of function and thought, and he believed that the concept of function should be the soul of mathematics education. Focusing on the function concept, Surrounding, fully integrated “. Therefore, the function becomes the most important one of the main content of the middle school mathematics teaching content. For the function of the content in the textbook settings and learning problems, the new curriculum is proposed: the core concepts such as functions, to be repeated contact, repeated experience, spiral rise, and gradually deepen understanding in order to truly grasp the flexible application of ...... Also pay attention to clear the relevant content in different modules and the requirements before and after contact, pay attention to the students on the basis of the spiral, and gradually increase. Thus it can be seen that a correct understanding and implementation of the theory of ”rising spiral and full penetration" naturally becomes a new topic that is seriously explored and pondered at various levels such as the educational philosophy and teaching methods of mathematics teachers in secondary schools.