Shawn H. answered 03/15/19
100th Percentile MCAT Scorer, 1000+ Hours, Goes Over YOUR Problems
Hey Carol!
The positive/negative designations of electrochemical cells can definitely be a confusing topic. You are completely right in saying that reduction always happens at the cathode, and oxidation always happens at the anode! So definitely continue to rely on that fact as your firmest characterization of electrodes in a cell.
As for positive and negative, the designations change based on whether the cell is spontaneous (emf>0) or non-spontaneous (emf<0). In spontaneous cells (galvanic cells, concentration cells, anything that does not require outside energy), the cathode is positive and the anode is negative. In non-spontaneous cells (electrolytic cells, anything that requires a battery, electrophoresis is a prime example), the reverse happens: the cathode is negative and the anode is positive.
As for remembering this, I like to think of the spontaneous cells simply as regular cells! On a regular basis, we like to think of the cathode as positive and the anode as negative, so spontaneous cells simply follow that pattern. On the other hand, non-spontaneous cells are "backwards" (they use a battery to force the electrons to go in the opposite direction that they do normally). Thus, the positive and negative designations are "backwards" as well. Hope this helps!