学生是学习的主人。要想实现这个教育理念,教师在课堂上就要切实地给学生留下充分从事数学活动的机会——学习空间。学习空间就是指学生自主支配时间、自主探索活动、自求积极发展的一种时空。有了这样的一个空间,学生才能充分去想象、去探索、去回味,从而发现问题和规律。然而,许多教师一直习惯于这样备课:复习、导入、新授、小结、 Students are the masters of learning. To achieve this educational philosophy, teachers must effectively leave students with the opportunity to fully engage in mathematics activities in the classroom—learning space. Learning space refers to a time and space in which the students autonomously govern time, independently explore activities, and seek for active development. With such a space, students can fully imagine, explore, recollect, and discover problems and laws. However, many teachers have been accustomed to preparing lessons like this: review, introduction, new teaching, summary,