《义务教育数学课程标准(2011年版)》指出:“有效的数学教学活动是教师教与学生学的统一”。“学生学习应当是一个生动活泼的、主动地和富有个性的过程,除接受学习外,动手实践、自主探索与合作交流也是数学学习的重要方式,学生应当有足够的时间和空间经历观察、实验、猜测、验证、推理、计算、证明等活动过程。”因此,必须让“教”和“学”在教学中体现出和谐的关系,才能有效提高课堂教学效率。基于以上的认识,笔者 “Compulsory education mathematics curriculum standards (2011 edition)” pointed out: “effective mathematics teaching activities is the unity of teacher education and student learning ”. “Student learning should be a lively, proactive and personalized process. In addition to accepting learning, hands-on practice, self-exploration and cooperation and exchange are also important ways to learn mathematics. Students should have enough time and space to observe, Experiments, guesses, verifications, inferences, calculations, proofs and other activities. ”Therefore,“ teaching ”and“ learning ”must be reflected in the teaching of harmonious relations in order to effectively improve the efficiency of classroom teaching. Based on the above understanding, the author