If we turn to Proverbs 29:15 The rod and reproof give wisdom: but a child left to himself bringeth his mother to shame." this is about discipline, we all need discipline in life. If you dream of driving the car with your children on board it can indicate the road they are taking in life. If we turn to Psalm 127:3 all children are "a heritage of god" they trust their parents with their care. Scriptures point to driving a car with a child on board is a direct association of how we care for our children to make them successfully function in society.