《全日制义务教育数学课程标准》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。”教学作为一种有明确目的性的认知活动,其有效性是广大教师共同追求的。有效教学要以学生的发展为根本宗旨。教师应启发学生思考,与学生一起思考,把握教学内容的本质,让学生在理解的基础上思路清楚、表达清晰。要有意识地培养学生的思维习惯,坚持以知识为本、以人为本, The full-time compulsory education mathematics curriculum standard clearly pointed out that “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.” Teaching as a clear purpose Sexual cognitive activity, its effectiveness is the common pursuit of the majority of teachers. Effective teaching should be based on the development of students as the fundamental purpose. Teachers should inspire students to think, think together with students, and grasp the essence of teaching content so that students can clearly understand and express clearly. Students should be consciously train their thinking habits, adhere to the knowledge-based, people-oriented,