If you wish, you may write your blogs anonymously, but I would prefer you to use your own names.  A good compromise is to use your first name and last initial if you are not comfortable in using your full name.  This solution will allow everyone in class to know whose blog they are reading, but will, at the same time, protect your privacy as bloggers.  As well, it's not so anonymous that responsibility for the words in the blog becomes tenuous.  A few people I know use this way of identifying themselves and I think it makes some sense.  You can certainly use this option is you so choose.

As well, Blogger will allow you to set the level of searchability for your blog (for example, whether or not you will be tagged for search engines such as Technorati).  Set those levels at what is comfortable to you.

This notion of blogging and privacy is one that we will continue to discuss in class (see also the wiki page on Blogging and Privacy Issues).