《数学课程标准》指出:数学教育活动必须建立在学生认知水平和所有的知识经验基础之上,教师应激发学生的学习积极性,向学生提供充分的从事数学活动的机会,帮助他们在自主探索和合作交流的过程中理解和掌握基本的数学知识与技能,数学思想和方法,获得广泛的数学活动经验。 The Mathematics Curriculum Standards states that mathematics education activities must be based on students’ cognitive level and all knowledge and experience. Teachers should stimulate students’ enthusiasm for learning, provide students with opportunities to engage in mathematics activities, and help them explore independently. Understanding and mastering basic mathematics knowledge and skills, mathematical ideas and methods, and gaining extensive experience in mathematics activities during the process of cooperation and communication.