Something we started doing just this week, and plan on continuing moving forward, is tackling "warm-up" problems. This reminds me of middle school math class. These are relatively simple programming problems that are solved via group-pairing.
Group-pairing is where the entire group participates in solving the problem. One person is designated as the coder. S/he displays her/his laptop on the conference room TV (via an Apple TV). The group then discusses the problem, and codes up a solution together.