>Why would I take a task that is so simple that we take >it for granted and simplify it for my son? Arithmetic >can't be simplified it is already simple.
You should think twice before you throw yourself into this discussion. There is a history to it,
http://mathforum.org/kb/message.jspa?messageID=7247955 The very idea that ten irregular names in the entire structure of numbers in the entire edifice of mathematics, is a stumbling block of any kind, let alone a warrant for revolutionizing math education, should be enough to disqualify its proponents from polite intellectual company.