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This case study explored how undergraduates (N=4) reason through their spatial visualization ability within the context of multivariable calculus. A Purdue Spatial Visualization test was used during the interview to learn about their reasoning from test items. Two approaches emerged. Participants who saw diagrams with arrows described functional descriptions; students described the sequence of y-axis then z-axis referenced followed by a rotation or flip. Participants who saw diagrams without arrows described structural descriptions; they described the three-dimensional representation’s parts such as faces and transformation without reference to the xyz-axis.