Internship is a system of on-the-job training for white-collar jobs, similar to an apprenticeship. Interns are usually college or university students, but they can also be high school students or post graduate adults seeking skills for a new career. They may also be as young as middle school or in some cases elementary students. Student internships provide opportunities for students to gain experience in their field, determine if they have an interest in a particular career, create a network of contacts, or gain school credit. Internships provide employers with cheap or free labor for (typically) low-level tasks. Some interns find permanent, paid employment with the companies in which they interned. Their value to the company may be increased by the fact that they need little to no training.
Apprenticeship is a system of training a new generation of practitioners of a skill. Apprentices (or in early modern usage "prentices") or protégés build their careers from apprenticeships. Most of their training is done while working for an employer who helps the apprentices learn their trade, in exchange for their continuing labour for an agreed period after they become skilled. Theoretical education may also be involved, informally via the workplace and/or by attending vocational schools while still being paid by the employer.
I see internships as business world kind of training...doing all the golfer things go get this go get that....
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apprenticeship as a more of a specific labor skill learned and usually you end up working for the same company you have your apprenticeship with..as the company wants to make their money back from the time they spent teaching you