Why is the JET Programme called an "exchange" programme?

Question:

The Japan Exchange and Teaching Programme.

What's the "exchange"?

Usually an "exchange" programme means that some people from one area (Area A) go to another area (Area B), then people from Area B also go to Area A.

On the JET Programme a bunch of people from around the world go to Japan, but there isn't an exchange where Japanese go to those countries.

Answer:

JET (Japan Exchange and Teaching Programme) is English title of
「語学指導等を行う外国青年招致事業」(rough translation: Invitation To Young Foreign English Teachers' Project in Japan)

The purpose of this project is to promote 'globalization' of Japan, focusing on regions, where local governments provide opportunities for young English teachers from overseas to refine their teaching skills, or prepare various events, or promote sister cities to prepare more ’exchange programs’, which are encouraged by National authority.
-------- to add:
You --> having opportunities to provide your English-teaching skills, to know Japan/Japanese culture
Japan --> offering YOU opportunities to provide those skills, Japanese culture 'in exchange'

*Note; Japanese teachers don't provide Japnese-teaching skills outside Japan. (private sectors only)
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*Note: JET is the program for "foreign English teachers" (non-Japanese who teach English in other countries.)