In an encounter that sounds provocative we learn some deep truths about the Mission of Christ. 

We can't fully understand why Jesus responded to the Syrophoenician woman as he did, but her response teaches us as well as His disciples. She understood the vast power of God (thus her request was for mere crumbs), and she reminds us that there were crumbs below the table precisely because the children had dropped dropped and rejected them. There's a challenge for all of us who want to be the Children of God.