Developing an understanding of fractions is critical as a significant predictor for the learning progression of advanced domains; however, students face significant challenges in learning fractions because of their unique properties. To systematically approach remediation, this study examined the common error patterns committed by middle-school…

The United States invented a matrix sampling technique to impute five plausible scores of student performance in its National Assessment of Educational Progress. That approach was adopted by a Trend in Mathematics and Science Study (TIMSS) for international comparison. In this paper, baseline data from TIMSS 1995 are analyzed at the seventh grade…