Other versus Another

The main difference is that OTHER is used for plural but ANOTHER is for singular (an + other); it also has the meaning of one more, one different from the others. Have a look to these examples:

• Some people like cinema and other people prefer TV
• Can I have another coffee please?

You can go to this link with a good explanation and an exercise to practise. Click here. Another good page is this one; click here

I hope you understand this grammar point.