任勇数学教育文集三部之一:“宏观篇”追求数学教育的真谛(11) 联系高等数学知识 搞活中学数学教学

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数学和物理、化学同属于自然科学,然而数学另有自己的特点.物理、化学都没有初等高等之分,从中学到大学没有分界的鸿沟;而学习数学却不能不分两步走.中学讲初等数学,侧重在具体实用.大学里的高等数学,内容丰富,概括宽阔,立论抽象,应用广泛.由于数学学科的这种特点,往往使得中学里很少利用高等数学的内容、思想、观点和方法来指导教学,又使许多的大学新生用初等数学的学习态度去对待高等数学,以致不能适应新的学习任务甚至造成学习低效.近几年来,我在中学数学教学中,根据学生的特点,注意加强高等数学的内容、思想、观点、方法和中学数学的联系,使教学活动生动活泼,取得了较好的教学效果.具体做法是: Mathematics and physics, chemistry belong to the same natural science, but mathematics has its own characteristics. Physics, chemistry are not elementary, from middle school to university there is no gap between the boundaries; and learning mathematics can not be separated by two steps. Elementary mathematics, focusing on practical and practical.University mathematics, rich in content, broad generalization, abstraction abstract, widely used.Because of this feature of mathematics, often make secondary schools rarely use higher mathematics content, ideas, opinions and Methods to guide teaching, but also so many freshmen with primary mathematics learning attitude to higher mathematics, so that they can not adapt to the new learning tasks or even cause inefficiencies in learning.In recent years, I teach in high school mathematics, according to the characteristics of students , Pay attention to strengthening the content of higher mathematics, ideas, ideas, methods and the connection of middle school mathematics, so that teaching activities lively, and achieved good teaching effect.That is:
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