Multiple-zone chilled beam air conditioning systems for cooling multiple-zone spaces, methods of controlling chilled beams in multi-zone air conditioning systems, and chilled-beam modules for controlling zones of a chilled-beam heating and air conditioning system. Embodiments include a pump serving each zone that both recirculates water within the module and chilled beam and circulates water in and out of a chilled water distribution system through one or more valves to control the temperature of the water delivered to the chilled beams. Different embodiments adjust the temperature of the beam to avoid condensation, change pump speed to save energy or increase capacity, provide heating as well as cooling, use check valves to reduce the number of control valves required, can be used in two- or four-pipe systems, or a combination thereof.