The Lawson's Classroom Test of Scientific Reasoning (LCTSR) is a popular instrument that measures the development of students' scientific reasoning skills. The instrument has a two-tier question design, which has led to multiple ways of scoring and interpretation. In this research, a method of pattern analysis was proposed and applied to analyze…

In physics education research (PER), concept inventories (CIs) have become standard instruments for assessing students' learning throughout instruction. To promote widespread use of concept inventories, previous studies have developed an approach to split a full length CI into short versions of CIs. This research extends the existing method to…