一、数学课堂启发学生的关键:目标、铺垫、含蓄、示范首先,教师让学生明确希望他们解决什么问题,目标不明确当然难以完成好任务。明确任务目标以后便可进入探究,但是具有挑战性的问题往往会难住学生,所以,教师课前要为架桥铺垫做好准备。教师要了解在探究的问题与学生的现实之间存在多少差距,考虑设计哪些问题哪些活动能够化解困难,怎样创设问题情境,怎样问问题可以含蓄地启发学生。这里要特别强调含蓄地架桥铺垫,如果教师对学生的提示太直截,就失 First, the key to motivating students in mathematics classroom: goals, bedding, implicit, demonstration First of all, teachers let students explicitly hope that they solve what problems, the goal is not clear, of course, difficult to complete the task. Explicit mission objectives can be explored later, but challenging issues tend to discourage students, so teachers should prepare themselves for bridging the gap before class. Teachers need to understand how many gaps exist between explored and students’ realities, which issues to consider when designing activities, how to create problem situations, and how to ask questions to implicitly inspire students. Special emphasis should be placed here on implicitly bridging the gap. If the teacher’s suggestion to the student is too straightforward,