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and why...?
The theories revolve around the use of intrinsic and extrinsic motivations to get the best results from workers in the business world, but it can also apply to students in a classroom. The X-variant refers to students that need extrinsic motivation and without it would likely be lazy/less productive; while the Y variant assumes intrinsic motivation which yields students who actively seek their own imporvement. Ideally, all students would be Y variants, but since that is highly improbable, the teacher must evaluate the students based upon many variables in the classroom and use that to determine whether he/she needs to be extrinsically motivated and what will work to promote this.
It's not an easy task, but it is one that teachers have to face daily. The X and Y theories merely codify what that struggle entails in education.
I agree with Mr Douglas's perfect answer