Research on personalized assessment Information of students' mathematical competency based on cognitive diagnosis

Abstract

With a set of the Trends in International Mathematics and Science Study (TIMSS) 2015 test items as the assessment tool, this study constructed a mathematics competency assessment framework composed of eight attributes, and formed a Q matrix using data of 4,733 students in the four provinces (cities) of mainland China. Through model comparisons, this study selected the mixed model and made in-depth analyses of attribute mastery from four aspects: international comparative analysis, learning path analysis, learning progression construction, and personalized report development. The study found obvious advantages in most attributes of Chinese students’ basic mathematics competencies. The learning path was rich with large knowledge status distributed in the second, third, and fourth level of learning progression. It provided a basis for a detailed understanding of the basic mathematics competencies of Chinese students and their current situation in international education. It also provided a methodological basis for the cognitive diagnosis assessment of students’ mathematics competencies.