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数学思维的目的性是指思考问题和解答问题具有明确而清晰的目标,能从全局的大方向上作出明智的选择,有目的地去寻找解题的捷径.目的性的反面是盲目性,表现为缺乏主动性,目标意识模糊,拿到题就做,瞎碰了半天一无收获,解题之前没有做好充分思想准备,心中无数,下笔层次不清,未能认真而深入地思考以下问题:如何应用条件?怎样简化计算?要达到理想的效果必须采取哪些方法?这道题考查了哪些主要知识?一旦出现解题障碍如何去克服?
The purpose of mathematics thinking is to have a clear and clear goal in thinking and answering questions, to make wise choices in the overall direction of the whole, and to find a shortcut to solve problems with a purpose. The opposite of purpose is blindness. For the lack of initiative, the goal consciousness is ambiguous, and the problem is solved. When the problem is solved, there is no gain for bumping for a long time. The problem is not fully prepared before the problem is solved. There are numerous ideas in the mind and the level of the pen is unclear. The following questions cannot be seriously and deeply considered. : How to apply conditions? How to simplify calculations? What methods must be taken to achieve the desired effect? What are the main topics of this exam? How to overcome obstacles once they are solved?