基于解释结构模型的教材分析法及其教学意义

The Analysis and Significance of Interpretative Structural Model

解释结构模型(ISM)能够将隐藏于复杂知识系统中的数学知识结构化外显,使教师和学生明晰教材知识脉络,深刻揭示数学概念之间的关联及形成结构。以“有理数”为例说明ISM在数学教材分析中的具体应用,其基本原理包含五个主要步骤。ISM法能够确立教材中各知识要素之间的层级关系,其主要的教学意义有两个:一是利于教师对教学路径的选择与优化,二是帮助学生形成清晰的认知结构。

Interpretative Structural Model (ISM) can make the underlined complex knowledge of mathematical structured more obvious, so that teachers and students can clearly understand the correlation between mathematical concepts and develop a systematic structure. Principle of ISM consists of five main steps. It can establish a hierarchical relationship between the various elements of textbook. Its main significance of teaching is: firstly, teachers can optimize teaching path selection;secondly, students can develop a clear understanding of the knowledge structure.