A method of making a shaped glass article includes placing a glass sheet on top of a mold. A heat exchanger is arranged relative to the mold such that a heat exchange surface of the heat exchanger is in opposing relation to a back surface of the mold and separated from the back surface of the mold by a gap containing a layer of gas. The height of the gap is selected such that the dominant heat transfer between the heat exchange surface and the back surface of the mold is by conduction through the layer of gas. The glass sheet is heated and formed into a shaped glass article with the mold. The heat exchanger is operated to remove heat from at least part of the mold during at least one of heating the glass sheet, forming the shaped glass article, and cooling the shaped glass article.