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学生的认知活动应该是通过预习、听课、课后复习及完成作业、单元复习等过程来达到对知识的理解、掌握、记忆、运用。整个认知活动的主体是学生,主要是通过学生的自学来完成的。教师在教学中善于培养他们正确的学习方法和思维方法,是大面积提高教学质量的重要保证,学生自学能力的培养应体现在对数学概念、法则、性质、公式、公理、定理有正确的学习方法,理解深入透彻,运用灵活、思维敏捷,具有一定的归纳总结能力。为达此目的,在教学中应作好以下几方面的尝试。
Students’ cognitive activities should be understood, mastered, memorized, and applied through the process of previewing, attending classes, reviewing after class, completing assignments, and unit review. The main body of the entire cognitive activity is students, mainly through self-study of students. Teachers are good at cultivating their correct learning methods and thinking methods in teaching, which is an important guarantee for large-scale improvement of teaching quality. The cultivation of students’ self-study ability should be reflected in the correct learning of mathematical concepts, laws, properties, formulas, axioms, and theorems. Methods, understanding in-depth thorough, flexible, quick-thinking, with a certain ability to sum up. For this purpose, the following aspects should be tried in teaching.