Another way of 'an' in the grammar

We have this part of sentence written in FEC mailing list. Suddenly i just want to make some grammar comment on the sentence in between my time. The sentence said:

The another way to increase our vocabulary are listening movie channel at tv, discovery channel at indovision or news at radio bbc channel or youtube at internet connection or hearing tape/video.

So below is some revision that i think is required.

- The another
Articles 'the' and 'an' can't be used at the same time consecutively. It should be used either one. So the sentence can either be:
a. The other way to ....
b. Another way to ....

However since the next word chosen is 'are' then the correct way to say it become:
c. The other ways to

This is because 'another' is to express an (satu) other (yang lain) i.e singular choice of other thing. 'Other' is to express both singular and plural of particular (if it is followed by 'the') choice(s)

- Listening to
Listening is involved the hearing sense. So we usually refer listening to radio. However, for movie which is on TV it involve the sight sense. So we usually use the word 'watching' TV instead of 'listening'

- at
If we look at Longman Grammar book, preposition 'at' usually refers to particular place like market, school or time.

So for below sentence the better way to say it should be:
- on tv channels
- in Indovision
- in bbc radio channel
- through internet connection
- audio tape / audio cd