数学研究性学习是学生数学学习的一个有机组成部分,是在基础性、拓展性课程学习的基础上,进一步鼓励学生运用所学知识解决数学的和现实的问题的一种有意义的主动学习,是以学生动手动脑主动探索实践和相互交流为主要学习方式的学习研究活动。它能营造一个使学生勇于探索争论和相互学习鼓励的良好氛围,给学生提供自主探索、合作学习、独立获取知识的机会。 Mathematical research-based learning is an integral part of students' mathematical learning and a meaningful active learning based on the basic and extensional course learning to further encourage students to apply their knowledge to solve mathematical and realistic problems. It is a study and research activity based on the active study of students' active brain and their interaction with each other. It can create a good atmosphere for students to bravely explore controversy and encourage each other to learn and encourage, and provide students with the opportunity of self-exploration, cooperative learning and independent knowledge acquisition.