So much for the idiosyncratic point of view. On a simplistic level, a wand can be seen as the same as the thing that produces life, but actually it's even more basic than that. The wand is the source of manifestation in any form on any level. Its purpose is to make you more creative, to facilitate doing as opposed to mere being. Practice and experimentation will enable you to discover uses for yourself.
Magical implements are tokens of spontaneity.
Wands are extremely individualistic. Some are very powerful, some only very subtle. I have a number of them which serve different purposes. The most expensive one, made of crystal and velvet, is very mysterious to me. I'm never sure how to use it properly.