当代中国数学家谷超豪说过:“知识和能力是一点一点积累起来的,要注意有扎实的基础,要注意复习和巩固,不能急于求成。”前概念是学生对所要学习新知的已有的知识基础,是一些非本质的相关联的碎片而粗略的认识,是通往概念城堡的悬梯,学生所掌握的前概念的正确性与丰富性对新知的学习起着决定性作用。部分数学教师在开展概念教学时忽视学生前概念,孤立地进行教学,甚至出现新旧知识的脱节,导致概念教学质效低下。笔 Gu Chaolu, a contemporary Chinese mathematician, said: “Knowledge and ability are accumulated little by little, paying attention to a solid foundation, paying attention to reviewing and consolidating, and can not be eager for success.” The preconception is that students should learn new knowledge Is based on a number of non-essential and relevant fragments of the rough understanding of the ladder is the ladder to the concept of the castle, the students grasp the correctness and richness of the concept before the learning of new knowledge plays a decisive role . Some mathematics teachers neglect the concept of pre-students, conduct teaching in isolation, and even appear disconnected from the old and new knowledge when carrying out the concept teaching, which leads to the low effectiveness of the concept teaching. pen