An adaptive microprocessor control system and method provide a low heat mode and a high heat mode of a heating cycle in a furnace dependent upon the performance of the previous heating cycle. The duration of the low heat mode and subsequent high heat mode period is a function of the previous low heat mode duration, previous high heat mode duration, and the time period between the end of the previous heating cycle and the beginning of the next heating cycle. The control and method utilize a single-stage thermostat for providing the dual rates of heating.