数学研究性学习 ,是指学生在教师的引导下 ,从自身学习和社会生活、自然界选取研究课题 ,并用类似科学研究的方式 ,主动地获取知识、应用知识 ,并解决问题的一种有效的学习方式 .笔者最近设计了“研究性学习”的一堂数学课 ,经课堂尝试取得了较理想的教学效果 .　　一、背景上 Mathematics research-based learning refers to the effective learning of students who, under the guidance of teachers, select research topics from their own learning and social life and nature, and actively acquire knowledge, apply knowledge, and solve problems in a similar way to scientific research. Method. The author recently designed a mathematical lesson of “research learning” and tried to achieve better teaching results in the classroom. I. Background