Impact of Virtual Reality on the Visualization of Partial Derivatives in a Multivariable Calculus Class

Abstract

Multivariable calculus is one of the core subjects which engineering students study at university. Students may end up memorizing formulae in multivariable calculus due to the lack of ability in visualizing 3D surfaces, and hence not gain much intuition for the subject. We developed an in-house virtual reality (VR) application with the intention for students to visualize concepts in Multivariable Calculus. In order to evaluate the effectiveness of the VR application (which we term as the treatment), we performed a blinded randomized controlled trial with n = 312 students, where we divided them into a control group of nCO = 187 students and treatment group of nTR = 125 students. We gave both groups of students a test immediately after the treatment, as well as asking them to fill in anonymous survey questions using a Likert scale. Our findings show that students perform worse on some questions after using the VR application, and for some other questions students have similar performance to the treatment group. We hypothesize some reasons why this is so, opening the door for future research. We also give recommendations for future developers of VR applications.

Keywords

• Education
• interdisciplinary
• multivariable calculus
• smart classroom
• virtual reality