What does Mark 8:13 mean?

Bible scholars believe Jesus and the disciples are on the west coast of the Sea of Galilee, although we don't know where Dalmanutha (Mark 8:10) was or even if that is where the Pharisees accosted Jesus. Once again, the "other side" means the other side of the Sea of Galilee, this time to Bethsaida (Mark 8:22). Although Bethsaida is not far, and sits near the middle of the northern shore, it is on the other side of the river that feeds the lake and the border between Antipas' and Philip's territories.

Jesus had come to Dalmanutha after miraculously feeding a mixed Jewish-and-Gentile crowd with a few loaves of bread and some small fish (Mark 8:1–10). Now, Jesus leaves the Pharisees without record of a single miracle. Those who humbly sought healing received it, and those who were hungry were fed. But those who demand a sign from God are disappointed. The text simply says "he left them…" but this marks the end of Jesus' public ministry in Galilee (Mark 9:30). Later, Jesus and the disciples will travel north into Syria (Matthew 16:13) and south to Perea (Mark 10:1) and Judea. Now, Jesus is officially leaving the Galilean Pharisees and possibly the people, to spend more time training the disciples.

Jesus stopped being patient with the religious leaders when they accused Him of receiving His power from Satan (Mark 3:22). Now, He quits His public ministry in Galilee when they demand a sign that His power is from God. Just as Jesus knows when to leave off arguing with the Pharisees, we are called to "shake the dust off our feet" when someone continually rejects the gospel (Mark 6:11).