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一、高一数学成绩大面积下降的原因1.初、高中教材间梯度过大。初中教材偏重于实数集内的运算,缺少对概念的严格定义或对概念的定义不全,如函数的定义,三角函数的定义就是如此;对不少数学定理没有严格论证,或用公理形式给出而回避了证明,比如不等式的许多性质就是这样处理的;教材坡度较缓,直观性强,对每一个概念都配备了足够的例题和习题。而高一教材第一章就是集合、映射等近世代数知识,紧接着就是幂函数的分类问题(在幂函数中,由于指数不同,具有不同的性质和图象)。函数单调性的证明又是
First, the high school mathematics reasons for the large area decline 1. The initial, high school teaching materials gradient is too large. Junior high school textbooks emphasis on the operation of the real number set, the lack of strict definition of the concept or the definition of the concept is not complete, such as the definition of the function, the definition of trigonometric functions is true; many mathematical theorems are not rigorously demonstrated, or given in axiom And to avoid the proof, such as many of the properties of inequality is handled this way; textbook slope is slow, intuitive and strong, for each concept are equipped with enough examples and exercises. The first chapter of the textbook is a collection, mapping and other modern algebra knowledge, followed by the power function classification problem (in the power function, due to different index, with different properties and images). The monotonicity of the function is proved again