When someone is contemplative, they are generally "thinking"--they contemplate a situation, or an idea. They think about it, and weigh the options. I am contemplative in my answer to you...
The definition of contemplative is to be thoughtful, dreaming, meditating. If you are pondering something for along while or thinking about something, your being contemplative.
Contemplative is an adjective that describes someone who is contemplating, or studying something deeply for personal or spiritual understanding. Contemplative prayer or meditation is an important part of many religions.