知情交融的教学理论认为:教学的关键在于合理的创设一定的教学条件,使学生的认知与情绪活动在积极互动的基础上协调统一、良性循环,产生知情互促的和谐心理状态,从而在激发学生的学习热情、调动学生学习主动性的同时,促进学生对教学内容的接受、感悟和掌握。对数学教师而言,教材提供给我们的只是知识主线,因此大多数教师在教学中关注的只是知识层面上的“能不能”学,很少关注情感方面的“愿不愿学”。著名数学史学家M.克莱因指出:“数学教育的最大缺陷之一正是缺乏情感的投入。”这 The teaching theory of informed blending holds that the key to teaching lies in the reasonable creation of certain teaching conditions so that students’ cognitive and emotional activities are coordinated and unified on the basis of positive interaction and a virtuous circle is formed and a harmonious psychological state of mutual benefit and knowledge is created. Stimulate students’ enthusiasm for learning, mobilize students’ learning initiative, and promote students’ acceptance, perception and mastery of teaching contents. For mathematics teachers, the textbook provides us with only the main line of knowledge, so most of the teachers in education focus only on the knowledge level “can not learn”, seldom focus on emotional aspects “would rather not learn ”. The famous mathematical historian M. Klein pointed out: “One of the biggest drawbacks to mathematical education is the lack of emotional input.”