How is Christianity different from Judaism?

We discussed today how Judaism differed from Christianity. Daniel said that we both believe in God, so how is it different? 

Christianity came to regard Jesus as in some sense God's presence in human form. This was unacceptable to most Jews.

Judaism is defined by a covenant made between God and the Jewish people. Part of this covenant is the Law, a set of religious and ethical rules and principles. Most Christians came to believe that this was replaced by Jesus' teaching.