What are the differences between demoninations regarding baptism/confirmation? Specifically, which churches practice child-baptism but not confirmation?

A Brazilian friend recently shocked me by saying that her church does not practice confirmations. The wiki page for Baptism has an extensive comparison of baptism rites, however it does not go into detail about confirmation.

As I understand it the following is standard in the major denominations. Perhaps it would be useful to explain the differences relative to this.


  Baptism is an induction into the Christian faith which necessarily
  involves a public declaration of faith and
  wetting/immersion/submersion with water. If the baptism is performed
  before the person has 'come of age' (usually coincides with puberty
  and reaching the age of 13 years), then the parents and godparents
  make the declaration on behalf of the child.
  
  Once a baptised child has 'come of age' (as described earlier) they
  may choose to undergo confirmation, which is a public declaration of
  faith and does not necessarily involve water.
  
  A person can only take part in communion if they have undergone an
  adult baptism or confirmation.
I think your question is probably about infant baptism, not child baptism. The latter isn't really a term used by churches. Those that would baptism young children but not infants would generally call this "believers baptism". If the child is too young to make even a simplistic declaration of faith then they probably fall under the umbrella of "infant" baptism.

Of those churches that practice infant baptism some major ones (including Catholics) usually implement some form of confirmation before offering communion and full membership in the visible church.

On the other side, there are many traditions (some Presbyterians and other Reformed traditions for example) that understand children of believers to be full participants in the visible church—recipients of God's grace and promises and as such responsible for keeping his commandments. In addition to infant baptism, these churches will usually offer communion to children of believing members. Children are both under the instruction and discipline of their family and, like their family heads, also under the instruction and discipline of the church. They may, of course, choose as they grow up to reject what they have been taught and believe or practice something contrary to the teachings entrusted to them. In this case they are automatically considered responsible based on what they have been given and like any other member of the church, disciplined up to an including excommunication which is simply a declaration that their life is in some way unrepentant and therefore not to be included in the visible church. (See this answer for further explanation of what that is about.)