《义务教育数学课程标准(2011)版》指出:“有效的数学学习活动不能单纯地依赖模仿与记忆,自主探索与合作交流是学生学习数学的重要方式。”以往,单纯的知识传授,忽视了数学知识技能的培养;纯粹的教师讲解,泯灭了学生学习数学的积极性,导致教师教得呆板,学生学得僵化,直接扼杀了学生的创新能力。自能学习是在摒弃了只关注学生的学习结果、忽视学生的学习方式和学习策略弊端的一种高效的学习方式。它是指学生有浓厚的学习兴趣,掌握一定的 “Compulsory Education Mathematics Curriculum Standard (2011)” states: “Effective mathematics learning activities can not simply rely on imitation and memory, independent exploration and cooperation and exchange is an important way for students to learn mathematics.” "In the past, simple knowledge transfer, Ignoring the training of mathematical knowledge and skills; pure teacher explanation, eliminating the enthusiasm of students to learn mathematics, leading teachers to teach rigid, students learn rigid, directly stifle students’ ability to innovate. Self-learning is to abandon the learning of students only focus on the results, ignoring the learning styles and learning strategies of students learning an effective way to learn. It refers to the students have a strong interest in learning to master certain