How do Baptists catechize children? If Baptists do not believe in the formalized confessional creeds of the church, then how do they catechize children? 

In the Small Catechism, Martin Luther notes that learning the Creeds is very important in the Christian education. If Baptists avoid confessionalism, then how do they teach the children the exact doctrine of the church?
The short answer is, they don't. They teach Sunday School.

If you ask a Baptist, they'll probably tell you, we don't have a catechism. (Technically, they're wrong, but in practice, most haven't heard of it.) 

Furthermore, if asked to decribe what a catechism is, they will focus on the fact that it is a "rehearsed" set of formulaic questions and answers - and nothing but a "vain repetition."

Instead, Baptists believe whole-heartedly in "studying the Scriptures." Many Baptist churches are named "Berea ," for example, becuase the Bereans are commended for searching the Scripures for themselves.  

Futhermore, Baptists very keen on "the priesthood of all believers," and in practice, means that most believers need to read the Scriptures as if they were a preacher who has to teach the word "in season and out." Being suffused with the Word

In short, Baptists don't want a set of pre-written questions and standard responses. In their minds, they want to "know" it like you would know a friend.  

Do they use standard terminiology? Sure - but even there, Baptists are often very keen to make sure they aren't use "jargon" or "Christianese." Do "we" use? All them time!  But we feel bad about it when we do!