Instead of a focus on introspection, Communion should focus of the joys of the new covenant that Jesus instituted by the breaking of his body and the shedding of his blood. Listen to these words from the writer of Hebrews and note the contrast between the old covenant and the new covenant.
You have not come to a mountain that can be touched and that is burning with fire; to darkness, gloom and storm; to a trumpet blast or to such a voice speaking words that those who heard it begged that no further word be spoken to them…. The sight was so terrifying that Moses said, "I am trembling with fear." But you have come to Mount Zion, to the city of the living God, the heavenly Jerusalem. You have come to thousands upon thousands of angels in joyful assembly, to the church of the firstborn, whose names are written in heaven. You have come to God, the Judge of all, to the spirits of the righteous made perfect, to Jesus the mediator of a new covenant, and to the sprinkled blood that speaks a better word than the blood of Abel (Heb 12:18-24 NIV).