数学教科书中的非语言元素分析——以浙教版八年级数学教科书为例

Analysis of nonverbal elements in mathematics textbooks: Taking the eighth-grade mathematics textbook published by Zhejiang Educational Press as an example

基于非语言元素的视角,建立了非语言元素类型与功能分析框架,以浙教版八年级数学教科书为例,对初中数学教科书进行了分析与探讨.研究发现:浙教版数学教科书中,精确的几何形状类型中建构型和探究型功能的非语言元素所占比例较低;图片类型重视各种功能的非语言元素运用;其他类型忽视了阐释数学本质功能的非语言元素.数学教科书改革应体现数学的内在逻辑,重视阐释数学本质功能的非语言元素及高水平认知的非语言元素对学生思维的培养.

Based on the perspective of nonverbal elements, a framework analysing types and functions of nonverbal elements were established. Taking the eighth-grade mathematics textbook published by Zhejiang Educational Press as an example, it was probed into junior middle school mathematics textbooks by the proposed framework. It was concluded that: in the mathematics textbook, constructional and inquiry-based functions in precise geometric shapes types accounted only for a small proportion;the use of various functions was emphasized in picture types;the nonverbal elements that explained the essence of mathematics were ignored in other types. The reform of mathematics textbooks was suggested to embody the inherent logic of mathematics, and attach importance to the nonverbal elements that explaining the essence of mathematics and the cultivation of students′ thinking by nonverbal elements with high level of cognition.