We investigate the electromagnetic induction phenomenon for a "falling," "oscillating" and "swinging" magnet and a coil, with the help of a datalogger. For each situation, we discuss the salient aspects of the phenomenon, with the aid of diagrams, and relate the motion of the magnet to its mathematical and graphical representations. Using various representation modes to guide student thinking on how the variation of the magnetic flux can be used to predict the induced electromotive force should help students develop a deeper and more coherent conceptual understanding of the phenomenon. (Contains 6 figures and 1 footnote.)