On the popular website, Wikipedia, critical thinking has been summarized as "an objective analysis of facts to form a judgment". The problem solving skills that require algebra and calculus are often perceived by students as pieces of information to be memorized, while the judgment forming skills needed by engineering students necessitate the linking of known facts with new pieces of information. One example in the field of electricity and magnetism, the vector cross product embedded in the Biot-Savart law, could be solved using basic trigonometry when the underlying symmetry is given, or with the 3-dimensional vector notation system. The decision made by the student as to whether the vector notation system should be applied becomes important in the asymmetrical case, such as that of a straight current-carrying wire and a current loop. By emphasizing the importance of decision making in this example, students can develop a better conceptual understanding of magnetic reconnection at the introductory calculus physics level.