高中数学核心概念教材编写的国际比较——以函数为例

International Comparison of High School Mathematics Core Concept Textbooks' Compilation——Taking the Example of Function

数学核心概念是一个拥有"核"的"概念群",是由核心概念及其生长出的子概念组成的知识体系。各国教材都十分重视发挥核心概念的育人功能。围绕核心概念建立教材的结构体系,主要从两个角度入手:一是建构以核心概念为中心的概念图,包括纵向发展主线和横向联系节点,以形成一个主线明确、联系通畅的网状体系;二是用一以贯之的数学教育观念统领教材的内容确定、素材选择、栏目设置、呈现方式等,为实现数学教育目标提供可选择的学习资源,并体现多样化的学习方式。

The core concept of mathematics is a ＂concept assemblage＂ with a ＂core＂. It＇s a knowledge system consisting of a core concept and its sub-concept. Textbooks of all countries pay great attention to exhibiting the educational function of core concept. Constructing the textbook structural system based on core concept, starts from the two angles： One is to construct the concept map centered by core concept, including developing main lines length ways and connecting nodes width ways, thus shaping a reticular system with clear main line and unobstructed contact; the other is to command the textbook＇s content confirmation, material selection, column setting, expressing pattern and so on with a consistent mathematic education concept, providing alternative study resources for realizing the mathematic education target and incarnating a multiple study pattern.