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弗赖登塔尔的数学教育思强调数学教育必须面向社会现实,必须联系日常生活实际,注重培养和发展学生从客观现象找出数学问题的能力,用再创造的方法去进行教学,反对灌输式和死记硬背;提倡讨论式、指导式的教学形式,反对传统的讲演式的教学形式,这就是所谓“数学现实化”。课堂教学的高效性就是通过课堂教学活动,学生在认知上,从不懂到懂,从少知到多知,从不会到会;在情感上,从不喜欢到喜欢,从不热爱到热爱,从不感兴趣到感兴趣,从厌学到乐
Freudenstadt’s mathematics education thought that mathematics education must face the social reality, must contact daily life reality, pay attention to cultivating and developing students ability to find out mathematical problems from the objective phenomenon, re-create teaching methods, And rote memorization; to promote discussion-type, instructional forms of education, opposed to the traditional presentation of teaching forms, which is the so-called “mathematical reality ”. The efficiency of classroom teaching is through classroom teaching activities, students in the cognitive, never know to understand, from less to know more, never will; in emotion, never like to like, never love to Love, never interested to be interested, tired from learning to music