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The spectra provided by the Burst and Transient Source Experiment (BATSE) on the Compton Gamma Ray Observatory (GRO) show significant spectral evolution across gamma ray bursts. The spectral hardness is characterized by the parameters of model fits over two energy decades. In general, we find hard-to-soft evolution both across bursts, and within the individual spikes which make up many bursts. We will discuss the importance of temporal resolution. While there is little theoretical guidance for interpreting the observed phenomena, we speculate on the physical implications of our observations.