数学具有高度的抽象性,这是众所周知的。因而在教学时,对于一些抽象知识的理解、定理性质的认识就需要学生亲自的体验。数学教具、学具的设计和使用恰是为学生搭建起一个真正“动”起来的研究平台,引导学生在操作中探究知识,在观察中理解内涵。我们在钻研中学教材的过程中,以学生最为熟悉的材料———纸片为载体,结合 It is well-known that mathematics is highly abstract. Therefore, in teaching, the understanding of some abstract knowledge, the nature of the theorem requires the student’s personal experience. Mathematics teaching aids, the design and use of learning tools for students to build a truly “move ” research platform, to guide students to explore knowledge in the operation, to understand the meaning of the observation. We are studying the process of teaching materials in secondary schools, students are most familiar with the material --- paper as a carrier, combined with