初中生数学语言转换能力的调查研究

Research on the Ability of Mathematical Language Conversion of Junior High School Students

数学语言转换能力贯穿于数学教与学的始终,是初中生应具备的重要能力之一。数学语言可分为文字语言、符号语言和图式语言三种形式。受SOLO分类理论的启发,用SOLO试题调查初中生三种形式数学语言之间转换能力的发展水平。调查结果表明:(1)在数学语言转换的水平上,初中生文字语言、符号语言的表征能力水平较低,而图式语言表征能力水平相对较高;(2)在数学语言转换的方向上,初中生数学语言转换能力具有显著差异;(3)在数学语言转换的过程上,初中生暴露出诸多数学语言转换问题。

The ability of mathematical language conversion runs through the whole process of mathematics teaching and learning,and it is one of the important abilities that junior high school students should possess.Mathematical language can be divided into three forms: character language,symbol language and schema language.Inspired by the SOLO taxonomy theory,this study investigates the development level of junior high school students' ability to transfer three kinds of mathematical language.The results show that:(1) At the level of mathematical language conversion,junior high school students' representation ability of written language and symbolic language is relatively low,while schema language is relatively high.(2) In the direction of mathematical language transformation,there is a significant difference between junior high school students' mathematical language transfer ability.(3) In the process of mathematical language transformation,junior high school students expose many problems of mathematical language transformation.