It can be confusing to English speakers as well, to get it right. Another can mean "one more", or "a different one" (another person) Other means "different" but usually means more than one, or a group. (other people) Others is plural for "other". It can be used if you want to leave out the noun that should follow "other" (other people think differently = others think differently) The other means one (and only one) that is different. In my previous example, I use the noun "people" to continue this example: "these people and the other people" It is difficult, but I hope I have helped you. Can you write some other examples in a comment, so we can see if it helped?

You could also add other's and others' which both sound in speech exactly like others but express possession for singular and plural.

http://www.eslpod.com/website/show_podcast.php?issue_id=13025532 Listen to the last segment of this podcast.