A method and system for monitoring the temperature of dies during the processing of thermoplastics. A non-contact infrared remote sensor is configured to remotely monitor each die of a cuber extruder. The face of the cuber dies is divided into four quadrants. A sensor is aimed at the center of mass of each quadrant. The selected sensors are equipped with lenses that have an active sensing area that includes the entire surface of the quadrant, but none of the area of the adjacent quadrants. The signal from each sensor is sent to a temperature controller co-processor directly linked to an industrial control computer. The co-processor executes a modified proportional integral derivative algorithm with the response limits tuned to respond specifically to the thermal inertial factors represented by the cuber die ring and the material being cubed. In addition to the remote sensors, additional infrared or ultrasound sensors are used to insure that the air space between the sensors and the dies is unobstructed.