小学语文教材中习作特征比较与意义建构——以小学语文“人教版”和“部编版”教材为例

对比“部编版”与“人教版”习作板块可发现,“部编版”教材的习作板块是一个有机联系的整体,相同类型的题材凸显层次性,注重培养学生的习作思维能力,习作内容指向具体、有针对性,教材编排序列化。“人教版”教材中写事题材居多,习作内容贴近学生生活,与口语交际板块高度融合。“部编版”教材在继承“人教版”教材的基础上,进行了开拓创新,形成了以培养学生语文核心素养为核心的新教材。教师要科学地认识和理解新教材,在实际教学中不断完善自己的知识结构,让两版教材实现良好衔接。

A New Treatment for Some Periodic Schr?dinger Operators Ⅱ: The Wave Function

Following the approach of our previous paper we continue to study the asymptotic solution of periodic Schrodinger operators. Using the eigenvalues obtained earlier the corresponding asymptotic wave functions are derived. This gives further evidence in favor of the monodromy relations for the Floquet exponent proposed in the previous paper. In particular, the large energy asymptotic wave functions are related to the instanton partition function of N = 2 supersymmetric gauge theory with surface operator. A relevant number theoretic dessert is appended.