An observing response is any response that results in exposure to a discriminative stimulus. 2 assumptions are made: that the probability of occurrence of an observing response varies (a) directly with cue area, and (b) inversely with spatial separation between cue and response. With these assumptions, observing-response theory explains the effects of these 2 spatial variables on discrimination learning by monkeys, chimpanzees, and children. Prolonged training on a single discrimination problem can overcome the difficulty produced by these variables, but, surprisingly, the difficulty persists through extensive learning-set training. It is concluded that changing problems every few trials in learning-set training results in extinction of any observing response that might be reinforced within problems.