大学与中学数学教学内容的衔接

The Joints of Mathematical Contents between Middle Schools and Colleges

讨论大学数学中集合、函数、三角函数、极限、连续、导数、极坐标、复数和向量等知识与中学相应数学知识的衔接问题.建议大学教师针对中学数学教学内容的变化来调整大学数学教学,避免不必要的重复、及时弥补学生的知识空白,以便在这些衔接处抓住教学重点和突破教学难点.

In this paper,we discuss the mathematical contents taught in middle schools and colleges,such as sets,functions,trigonometric functions,limits,continuous functions, derivatives,polar coordinates,complex numbers,and vectors,etc.To avoid the nonessential repetition and to fill the holes in students' knowledge,we suggest that college mathematics instructors adjust their teaching contents to reflect the changes in middle schools,and focus more on teaching key concepts and difficult ones to better connect the joints of mathematical contents between middle schools and colleges.