Vertical scales are widely used in educational assessment as a basis for considering grade-to-grade changes in student performance. Typically, the underlying construct is assumed to be essentially unidimensional; however, if there is a change in the measured construct across grades, this assumption may be untenable. Developing a multidimensional…

Purpose: Much of the recent research on data-driven decision making in US schools has focused on standardized test scores while other forms of data in schools have gone largely unexamined as useful data, such as teacher-assigned grades. Based on the literature, the theory outlined in this paper is that grades, as data historically overlooked in…

Historically, teacher-assigned grades have been seen as unreliable subjective measures of academic knowledge, since grades and standardized tests have traditionally correlated at about the 0.5 to 0.6 level, and thus explain about 25-35% of each other. However, emerging literature indicates that grades may be a multidimensional assessment of both…

This study examines the baseline change profiles of academic performance (math and English) trajectories during the high school transition for the students who went from middle school to high school. Using multidimensional scaling growth profile analysis, we identified a no-change group plus 4 other groups with different change profile types: 1…

Reading and Mathematics tests of multiple-choice items for grades Kindergarten through 9 were vertically scaled using the three-parameter logistic model and two different scaling procedures: concurrent and separate by grade groups. Item parameters were estimated using Markov chain Monte Carlo methodology while fixing the grade 4 population…

Coordinate graphs of time-series data have been significant in the history of statistical graphing and in recent school mathematics curricula. A survey task to construct a graph to represent data about temperature change over time was administered to 133 students in Grades 3, 5, 7, and 9. Four response levels described the degree to which students…