Build a simple twitter client in about an hour
You will need a couple libraries. Make sure to put them in your 'libs' folder in your project.
You will need the twitter4j libraries. You can download them from: http://twitter4j.org/en/twitter4j-android-2.2.5.zip unzip them and use the jars that extra. i think you only need core.`
You will also need the android compatibility library. You can learn about it here. http://developer.android.com/sdk/compatibility-library.html
It is located in your android sdk folder in the 'extras/android/compatibility/v4' folder.
Activity Life Cycle: http://developer.android.com/reference/android/app/Activity.html#ActivityLifecycle
Fragments: http://developer.android.com/guide/topics/fundamentals/fragments.html
Android Blog: http://android-developers.blogspot.com/