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发现法的特点就是学生用自己的感官和思维器官,通过对有关系的数学材料的研究分析,从而重新发现知识。显然,在“发现教学”中,要放手让学生去“发现”,决不能以教师的讲解代替学生的探究与发现。但是,让学生做探究知识的主人,并不意味着放任自流,让学生去乱撞瞎碰。那样不但会浪费掉宝贵的教学时间,而且不易达到教学的目的。相反,教师应发挥主导作用,加强启发,积极引导,帮助学生越过学习中的各种障碍,减少曲折,以较少的时间获得最佳效果。具体地说,“发现教学”中的教师主导作用,体现在以下几个主要方面。
The discovery of the law is characterized by students using their own senses and thinking organs, through research on the related mathematical materials to rediscover the knowledge. Obviously, in “discovering teaching”, we must let students go “to discover” and must not replace the inquiry and discovery of students with teachers' explanations. However, letting students do masters of inquiry knowledge does not mean letting students go to random confusion. That would not only waste valuable teaching time, but also difficult to achieve the purpose of teaching. On the contrary, teachers should play a leading role in strengthening their enlightenment and actively guiding students to overcome various obstacles in their studies so as to reduce twists and turns and obtain the best results in less time. Specifically, the leading role of teachers in “discovering teaching” is reflected in the following major aspects.