There are many different ways of brewing Chinese tea depending on variables like the formality of the occasion, the means of the people preparing it and the kind of tea being brewed. For example, green teas are more delicate than oolong teas or blace teas and should be brewed with cooler water as a result.
The following steps are one popular way to brew tea in a form considered to be a kind of art. This process is more formal than, say, the more casual way tea is brewed for Dim sum in Cantonese restaurants. This procedure is mostly applicable to Oolong teas only.
Rinse the teapot with hot water.
Fill the teapot with tea leaves up to one third of the height of the pot.
Rinse the tea leaves by filling the pot with hot water up to half full and draining the water immediately leaving only tea leaves behind. (This step, and all subsequent steps involving pouring water, should be performed in a large bowl to catch any overflow.)
Pour more hot water into the teapot and pour water over the teapot in the large bowl. Bubbles should not be permitted to be formed in the teapot. The infusion should not be steeped for too long: 30 seconds is an appropriate maximum.
Pour the first infusion into small serving cups within a minute by continuously moving the teapot around over the cups. Each cup of tea is expected to have the same flavour, aroma and colour. The nature of this procedure almost mandates the use of some form of drip tray to catch further spillage.
Pour excess tea from the first infusion, and all tea from further infusions, into a second teapot after steeping. It is possible to draw five or six good infusions from a single pot of tea, but subsequent infusions must be extended somewhat in duration to extract maximum flavour: the second infusion extended by approximately ten seconds to 40 seconds, the third extended to 45, etc.
This form of the art of brewing and drinking tea is appreciated by many people, including non-Chinese. Many people are enthusiastic about the art of tea; they enjoy not only the taste of Chinese tea, but also the process of brewing it. The tea culture involved is attractive besides for the relaxation it generates, allowing them to purportedly forget all the trouble in their life during the process of brewing, serving and drinking tea. Some people enjoy serving others with a cup of tea not just because they want to share their excellent tea but also their peace of mind with others.
*The picture is from http://en.wikipedia.org