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《普通高中数学课程标准》指出:评价应关注学生“能否不断反思自己的数学学习过程,并改进学习方法”。荷兰著名数学家弗赖登塔尔曾指出“:反思是数学思维活动的核心和动力”。对于高中生来说,养成经常反思的习惯,可以深化对问题的理解,优化思维过程,揭示问题本质,探索一般规律,可以增强知识间的相互联系,从而促进知识的同化和迁移,产生新的发现。因此,反思是一种积极的思维活动,教师在平时的教学中,应注重对学生养成良好反思习惯的教育,要引导学生主动去反思,通过例题讲解使学生体会反思的作用,从而引起学生的注意,提高教学的实效性。
The “Standard Mathematics Curriculum for General Senior High School” states: Assessment should focus on students’ ability to continuously reflect on their mathematical learning process and improve their learning methods. “ Freudenthal, a famous Dutch mathematician, has pointed out: ”Reflection is the core and motivation of mathematical thinking." For senior high school students, cultivating the habit of frequent reflection can deepen the understanding of the problem, optimize the thinking process, reveal the essence of the problem, and explore the general law, which can enhance the mutual connection of knowledge, so as to promote the assimilation and transfer of knowledge and generate new Find. Therefore, reflection is a kind of positive thinking activity. In normal teaching, teachers should pay attention to educating students to develop a good habit of reflection, to guide students to take the initiative to reflect on, by example to explain the role of students to reflect, so as to cause students The attention to improve the effectiveness of teaching.