To me, kindness means the act of being kind or the act of courtesy to others. Being kind is very important to me as I think if every one is kind to one another, then there will be no riots, no war, no murders and no crimes. If you meet someone and you act kindly, the impression of you to others will be, 'this persons's so kind'.
We can show kindness by gicing the simplest effort. Like giving up a seat for an elderly or a pregnant lady, to helping someone. Offering to help, or volunteery work is very important. (Except some of the work we don't like. E.g. washing toilet bowls :P)
Singaporeans, according to what I think are rude. They rather pretend to be asleep than do a good deed -- give up their seats for the needies. This type of attitude will cause the person to develop a selfish character, which most of us hates. But when we're rude or being selfish, we do not notice it at all. I think that's the reason why most people say Singaporeans are 'kiasu'. We don't like to be left out last.
Here are some more examples of what I can do to demonstrate kindness:
Placing library books into book bins after reading
Encouraging kindness in other by demonstrating it first
Initiating friendly conversations with neighbours and colleagues while in the elevator
Joking and smiling are my ways to be friendly
Understanding and respecting people's cultures and beliefs
Noticing the people around to offer assistance when needed