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培养学生的独立思考能力是貫徹“全面發展因材施教”的根本問題之一。学生是否能牢固地、創造性地理解与掌握教材;对教材是否有自觉的爱好和兴趣;是否能在教师的指導下独立鑽研以發展其特長或弥补其缺点,都直接决定于教师在教学中是否充分地啟發了学生的積極思維,培养了他們的独立思考能力。“数学是鍛鍊思想的体操”,它对培养学生的独立思考能力确是起着特殊的作用;而数学教学任务的完成也非依靠学生的独立思考能力不可。因此,作为一个数学教师,不能不把培养学生的独立思考能力作为努力提高数学教学質量的中心內容之一。我在实踐中,經常注意通过下列几方面來逐步实現这一目的。
Cultivating students’ ability to think independently is one of the fundamental issues in implementing the “total development in accordance with their aptitude”. Whether students can understand and master teaching materials firmly and creatively; whether they have a conscious interest and interest in teaching materials; whether they can independently study under the guidance of teachers to develop their specialty or make up for their shortcomings are directly determined by whether teachers are teaching It fully inspired students’ positive thinking and cultivated their independent thinking ability. “Mathematics is the gymnastics of exercise thoughts”, it plays a special role in cultivating students’ ability to think independently; and the completion of mathematics teaching tasks does not depend on students’ ability to think independently. Therefore, as a mathematics teacher, we must take the cultivation of students’ independent thinking ability as one of the central contents in the effort to improve the quality of mathematics teaching. In practice, I often pay attention to achieving this goal step by step through the following aspects.