1 Corinthians 11:25-26

After the same manner also he took the cup, when he had supped, saying, this cup is the new testament in my blood: this do ye, as oft as ye drink it, in remembrance of me. For as often as ye eat this bread, and drink this cup, ye do shew the Lord's death till he come. (KJV)

Then: The second section of the communion is to remember the New Testament (Hayes, p. 123) while drinking from the cup. Henry organizes his discussion into four sections: the materials, the sacamental actions, remembrance and declaration of Christ's death, and its designation as a frequent, perpetual ordinance. The Corinthians needed all these reminders in order to return their thoughts to Christ and away from wanton fellowship.

Now: In a short exposition about communion, Owen Strachan focuses on the aspect of confession during the sacrament. Having a dedicated time for gathered believers to feel close to God, confess their belief in him and proclaim his act of sacrifice is the central expression of loving Christ. Strachan's point is that evangelistic churches miss out on the sense of sacredness encompassed in quiet order of liturgical churches. Yet, no matter the environment, Christ abides in the hearts of all through the act. Communion confession and participation is ultimately a heart experience.

Extra Source: First Corinthians by Richard B. Hayes (John Knox Press, 1997) on line at http://books.google.com/books?id=M_PC0PAs3VYC&dq=1+Corinthians+and+Richard+B.+Hays&printsec=frontcover&source=in&hl=en&ei=2oPcStDCIIvf8Aaq0Ki3BQ&sa=X&oi=book_result&ct=result&resnum=11&ved=0CCMQ6AEwCg#v=onepage&q=1%20Corinthians%20and%20Richard%20B.%20Hays&f=falseCommentary on the Whole Bible Acts to Revelation Vol VI by Matthew Henry online at http://www.ccel.org/ccel/henry/mhc6.iCor.xii.html
The Strange and Other Worldly Rite of Communion by Owen Strachan, online at http://owenstrachan.com/2009/09/06/the-strange-and-otherworldly-rite-of-communion-thoughts-on-1-corinthians-11-and-john-6/