Final answer:
Cognitive evaluation theory addresses the interrelationship between intrinsic and extrinsic motivators and suggests that expected tangible rewards could negatively impact intrinsic motivation.
Step-by-step explanation:
The theory that considers the issue of whether intrinsic and extrinsic motivators are independent is cognitive evaluation theory. This theory suggests that extrinsic rewards can undermine intrinsic motivation, particularly when the rewards are expected. For instance, a tangible reward like money may have a more negative effect on intrinsic motivation than intangible rewards such as praise. Moreover, how extrinsic rewards are introduced, e.g., unexpectedly or as a surprise, can influence their effect on intrinsic motivation. Cognitive evaluation theory is part of a larger discussion around the dynamics of motivation, which also involves other constructs like self-efficacy, goal-setting, and the interplay between intrinsic and extrinsic factors.