从学术形态到教育形态:泰勒公式教学之分析

Analysis of Taylor's Formula on Teaching from Academic Form to Educational Form

文章首先解读教育形态的高等数学的含义:传授数学知识,培育思维品质,体现教育价值,建构正确的数学观;然后针对学生学习泰勒公式的疑惑进行分析,并提出泰勒公式中教育形态的内容;最后提出泰勒公式教学设想:增强感性认识,弱化理性分析;增加归纳基础,注重合情推理;客观对待余项,明晰证明思路;精准挑选例题,体现知识应用。

Firstly, this paper interprets the meaning of higher mathematics from its education form： imparting mathematical knowledge, cultivating thinking capacity, embodying educational value and constructing correct mathematical view. Then, the author puts forward the teaching form contents of Taylor＇s Formula aiming at solving the students＇doubts about it. At last, teaching ideas concerning Taylor＇s Formula are proposed： to strengthen perceptual knowledge and weaken rational analysis; to increase inductive foundation and plausible reasoning; to prove ideas clearly through highlight the objective treatment on the remainder term; and to reflect the knowledge application by using some appropriate examples.