Jesus does not treat this Canaanite woman like I expect. He appears to exercise the racial prejudice of the day. Nothing extraordinarily counter-cultural here. Then, just like that, he heals her daughter. The lesson here, faith transcends ethnicity. Her words about the dogs getting crumbs from the table must be one of the greatest lines of faith ever spoken. This woman and the centurion both argue in faith with Jesus. He found them both admirable. Gentile readers do sometimes blow by the racial tension in this text.
I wonder if any of the disciples looked out over the sea of 4,000 and thought, I wonder if he can do it again?