I have to admit that I cringe everytime I hear a pastor misquoting Christ's words of administration saying, "Do this in remembrance of me." The Greek text simply doesn't say this. In fact, it says, "Do this as my memorial." The difference is huge.
What is the difference, you ask? The difference is that when we hear, "Do this in rememberance of me," we hear, "remember me in remberance of me." Sit down and think about Jesus. Retreat intospectively and subjectively assess whether you are partaking worthily. Be contrite as you curl up into your fetal position remembering what Jesus did for you.
This is emphatically not what Jesus said. He didn't say to remember Him in rememberance of Him. No, we are to DO this (celebrative act of feasting with God and our brothers) as His memorial. When we celebrate the Eucharist (literally, "thanksgiving" dinner), God remembers us. He remembers not to forsake us because we have been reconciled in His Son. He does not break covenant with us because Christ's death is once again "proclaimed." (1 Cor 11:26)
You may ask, "But God doesn't need to be reminded!" I respond, have you read Genesis 9:15? The rainbow in the sky isn't for us to remember God's promise of preservation, but for God to remember His promise of preservation. Yes, your Sunday school teacher taught you incorrectly about this. Take a look and see.
When we take the Lord's Supper, we are engaging in a rite that reminds God of His promises to His people in Christ. Yes, it is for our nourishment and encoruagement, but it is not primarily about our introspection. It is about God's extrospection - His outlook on His people. We can rejoice around a meal in which we feast with God as His friends and family. We don't do it to remember Him, but for Him to remember us.