“…Emma insisted that, due to such difficulties, she would not give her students the math problems; rather, she would have them make a 3D example of the surface area calculations to demonstrate the mathematical principles present in the nanotechnology activity. While many studies have demonstrated the importance of using multiple representations in mathematics education, specifically higher mathematics, like calculus (Watt et al, 2014), algebraic representations are essential for mathematics education. The insistence of Emma, and several of her peers, that students, particularly freshman, benefit from visual aids is not contested, yet the avoidance of numeric and algebraic representations could certainly leave a student body ill-prepared for higher mathematics.…”