Building a Better Development Team?

mlawmlaw asks: "I'm part of a development team that provides internal applications for a large pharmaceutical company. The team consists of about a dozen members, some coders, some application developers, and some vendor managers. About twice a year we do some sort of group exercise that almost always focuses on team building. After doing this for the past few years, we have found that while we have built a team that works well together, we have missed the boat when it comes to developing other team skills. We need to focus on better ways of identifying and solving technical problems and developing stronger critical thinking skills. But how do we do this? Teambuilding was easy, bring the team together and do exercises in trust, recognizing diversity, and discovering your teammate's backgrounds. So I am asking the Slashdot community, what have you found to be effective in building a better team other than exercises in teamwork?"