Constantinides has performed professionally as soloist, chamber music and orchestral player as concertmaster and/or member in many symphony orchestras in the U.S. and Europe, including the Baton Rouge Symphony, the Indianapolis Symphony Orchestra, and the State Orchestra of Athens, Greece.

His teaching achievements include a 1994 White House Commission on Presidential Scholars' Distinguished Teacher and a National Foundation for Advancements in the Arts awards. He has also received several teaching awards from MTNA in both composition and violin.

As a composer, he has received First Prizes in the Delius Composition Contest, the L'Ensemble Competition of New York, the National Brooklyn College Chamber Opera Competition, and the First Midwest Chamber Opera Theatre Conference. He has also won twenty-three consecutive ASCAP Standard Awards in Serious Composition. Other awards include LMTA and Division of the Arts composition commissions, numerous Meet-the-Composer Grants, numerous commissions from ensembles, individuals, and societies, the Daughters of the American Revolution American Medal Award, the Louisiana Governor's and of Baton Rouge Mayor-President's citations for excellence in the arts, as well as a Distinguished Service Award from the American New Music Consortium, of New York.

Constantinides has published 129 compositions with Allyn and Bacon, Cimarron Music and Reproductions, Conners Publications, Dorn Publications, Editions Nakas, Publications of the University of Veracruz, Seesaw Music Corporation, Society of Composers, Inc., and TAP Music Sales. His music is recorded on Capstone Records, Crest Records, Crystal Records, New Ariel Recordings, Orion Master Recordings, Vestige Recordings, and Vienna Modern Masters. His orchestral music has been performed by numerous symphony orchestras, including the Romanian Black Sea Philharmonic, the Prism Orchestra of New York, the Polish Radio and TV Symphony Orchestra of Krakow, the Slovak Radio Symphony Orchestra of Bratislava, the Bohuslav Martinu Philharmonic, the Ruse Philharmonic Orchestra in Bulgaria, the Czech Moravian Philharmonic, the New Orleans Philharmonic, the Athens Radio Symphony, the American Symphony Orchestra, the Dubrovnik Symphony, the Shenzhen Symphony (China), the Memphis Symphony, the Ku Ming Symphony (China), the State Orchestra of Athens, the State Orchestra of Salonica, the Annapolis Chamber Orchestra, the Rome Festival Orchestra, and the Fu Jen Orchestra (Taiwan). Also the Louisiana Sinfonietta, the Baton Rouge Symphony, the Alabama Symphony, the University of Miami and Arizona State University Symphonies, the University of Hawaii Symphony and numerous other University and College Ensembles. Constantinides conducted the English Chamber Orchestra in his Flute Concerto at the Florida International Festival at Daytona Beach on January 25, 2001, and in Baton Rouge on January 26, 2001.

Profiles of Constantinides appear in Who's Who in America, the International Who's Who in Music and Musicians Directory, the Dictionary of International Biography, Contemporary American Composers: A Biographical Dictionary, The American Hellenic Who's Who in Business and the Professions, Greek Creators, the Lexicon of Greek Composers, and the Composers' Magazine in Athens, Greece. He has published articles on music in both music and literary magazines in the U.S. and Taiwan. A citation of his work appeared in the New Grove’s Dictionary in the section of Greece. Numerous magazines both in U.S.A. and Greece include articles about his music.

Constantinides belongs to many music organizations, including ASCAP, CMS, the Hellenic Association for Contemporary Music, MTNA, NACUSA, SCI, Southeastern Composers League, Phi Kappa Phi, Pi Kappa Lambda, Phi Mu Alpha, and is a past member of MENC, The Sonneck Society for American Music, and the American Musicological Society. He has served as MTNA State, Regional, and National Chairman of the Student Composition Contest and twice on the National Council of SCI. He is presently on the Board of Directors of NACUSA, College Music Society, and consultant for the Living Music Foundation. He was the chairman of the LSU Festival of Contemporary Music for twenty-two years, and the founder and music director of the Louisiana Sinfonietta, the LSU New Music Ensemble, and the New Times series. He has chaired conferences of the CMS, the National SCI, and the Louisiana Composers League at LSU. Constantinides is also evaluator for music for the MacArthur Foundation and the National Endowment for the Humanities.

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