There has been phenomenal growth in research on speech perception by cochlear implant (CI) users since the printing of the ‘‘Bilger Report’’ [Bilger et al., Ann. Otol. Rhinol. Laryngol. 86 (S38), 1–176 (1977)]. Undoubtedly, average speech perception performance with these devices has improved dramatically. However, despite advances in implant technology, CI users continue to demonstrate a wide range in the ability to perceive speech. Little progress has also been made in understanding how CI users actually perceive speech. Although many correlational analyses have been carried out, little research has focused on mechanisms of speech perception, and many clinical decisions are made on a trial-and-error basis. Using a new approach, we have developed a quantitative, psychophysically based model (Multidimensional Phoneme Identification, MPI) of phoneme perception by CI users [M. A. Svirsky and T. A. Meyer, J. Acoust. Soc. Am. 103, 2977 (1998)]. The MPI model generates phoneme confusion matrices from performance on psychophysical tasks. In a complimentary line of work, we aim to predict open-set spoken word recognition from phoneme performance [S. Frisch and D. B. Pisoni, Res. Spoken Lang. Proc. 261–288 (1998)]. In both lines of research, we have found predictable relations between perception of phonetic features, phonemes, and words by CI users. [Work supported by NIH, AAO-HNS, DRF, NOHR.]