中文摘要：

以认知诊断的基本理论、技术和方法为指导,界定小学五年级数学＂数与代数＂的认知属性并编制A、B两套平行测验。通过对397名和425名五年级学生施测A、B卷获得的数据进行分析,表明两套试卷近乎平行,题目难易得当,区分度较高,认知诊断项目参数估计精度较高,测验具有较高的信度和效度。最后,以某校18名学生为实证研究对象,通过大声思维、访谈和补救教学等方式验证认知诊断结果具有较高的准确性和可靠性。

英文摘要：

Taking five grade students in primary school as research object,the basic theory and technique of cognitive diagnostic theory were used to define the attributes and design the test about ＂numerical and algebra＂. We completed two parallel tests.397 and 425 students attended the two tests,respectively. Using the classical test theory and statistic analysis,the item difficulties covered very broad reign and item discriminators were all very high. The reliability and validity have also been proved. Furthermore,the DINA model parameters for all the items have been estimated with low estimation error. Finally,18 students attended to the empirical research. The reliability and validity of students knowledge states estimated by cognitive diagnostic methods were tested by students ＇ loud speaking,teacher＇s experience assessment and remedial education.