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《数学课程标准》明确指出:“有效的数学学习活动不能单纯依靠模仿和记忆,动手实践、自主探索与合作交流是学生学习数学的重要方式。”在教学中适当让学生进行动手操作,不仅能有效解决数学知识的抽象性与学生思维形象性的矛盾,而且对激发学生内在学习动机,提高其动手操作能力,进而培养其合作探究意识和促进数学思维的发展,有着积极的意义。针对以往教学忽视学生实践的、感性的、操作的活动的状况,新课程标准提出要赋予学生更多自主活动、实践活动、亲身体验的机会,以丰富学生的直接经验和感性认识。
“Mathematics Curriculum Standard” clearly states: “Effective mathematics learning activities can not rely solely on imitation and memory, hands-on practice, independent exploration and cooperation and exchange is an important way for students to learn mathematics.” "In teaching appropriate for students to operate, It not only can effectively solve the contradiction between the abstraction of mathematical knowledge and the image thinking of students, but also has a positive meaning in motivating students’ internal motivation, improving their ability of hands-on operation, cultivating their cooperative exploration awareness and promoting the development of mathematical thinking. For the past teaching neglected the practice of students, emotional, operational activities, the new curriculum standards to give students more opportunities for independent activities, practical activities, personal experience to enrich students’ direct experience and perceptual knowledge.