Using Ego Network Analysis Techniques to Explore Student Mistakes in Vector Addition and Subtraction

Physics students of all levels need to be able to manipulate vectors to succeed in courses. Building on many prior studies that have looked at student ability to use vectors and vector skills like addition, subtraction, and multiplication, we use network analysis techniques to explore the relationship between students' performance on vector addition and vector subtraction questions. To this end, we surveyed introductory algebra-based students using a multiple-choice assessment that prompted them to do many addition and subtraction questions of vectors in different alignments. Using ego network analysis on this multiple-choice data, in conjunction with handwritten versions of the same questions, we investigate the intersection of different student mistakes. Results of this analysis will be discussed, as well as implications for teaching.