中小学生数学知识观的调查研究

An Investigation on the Conception of Mathematics Knowledge in Primary and Secondary School Students

本研究采用12道假设性情境题目和包含数学涉及运算、思考、实用性三个维度的数学认识问卷,选取90名六年级小学生和106名初二学生作为被试,探讨中小学生的数学知识观。结果表明:1)中小学生数学知识观形成及发展与学校数学课程内容紧密相关。2)中小学生数学知识观存在差异,主要表现在初二学生对假设性情境的认同程度显著地高于六年级学生;在数学认识问卷的数学实用性维度上,六年级学生的肯定程度显著地高于初二学生。3)从总体上看,学生的学业水平与数学知识观的关系不大。

The conception of mathematics knowledge in primary and secondary school students was investigated through 12 supposed-situation items and a set of questionnaires administered to 90 sixth-graders and 106 eighth-graders. The results showed that 1 ） The formation and development of the concption of mathermatics knowledge was influenced by the school＇s math curriculum contents. 2 ） Differences existed in the conception of mathematics knowledge between primary school students and secondary school students. Eighth-graders tended to relate these supposed-situation items, to math, while sixth-graders to be more positive about the usefulness of mathematics knowledge. 3） On whole, the conception of mathematics knowledge was not significantly influenced by students＇ math performance.