Improving the Test of Calculus and Vectors in Mathematics and Physics: an evidence-centered approach

One of the pivotal nodes for meaningful learning in physics is its relationship with mathematics. It is well known that the ability to manipulate mathematical tools does not guarantee competence in using these tools in physics, leading to difficulties for many students in introductory physics courses. Physics Education Research has extensively investigated this topic, enriching it in recent years with new theoretical perspectives and numerous teaching proposals. At the University of Padua, the FisicaMente project produced the Test of Calculus and Vectors in Mathematics and Physics (TCV-MP), a multiple-choice test aimed at investigating the challenges students face in introductory physics courses when using derivatives, integrals, and vectors in the context of physics, by comparing the use of the same tools in a purely mathematical context. After five years of administration, some improvements and enrichments are envisaged. The aim of this thesis project is to revise and improve the section on integrals of the TCV-MP, using an evidence-centered design (ECD) approach. This goal is pursued by analyzing data from previous administrations, considering the latest research findings, and taking into account instructors’ views. After modifying or developing new items, they are piloted with first-year students in introductory physics courses across different degree programs.