Teona began her musical career at an early age, playing recitals at age five and performing with state orchestras at eight. She obtained Bachelor of Music degrees in piano performance and music theory at the College of Talented Musicians in Tbilisi, Georgia, and subsequently completed M.Mus. degrees in chamber music and piano performance at Tbilisi State Conservatory, as well as an M.Mus. in piano performance at the University of Memphis in Memphis, Tennessee.

Martiashvili studied piano and theory under several noted Georgian teachers and performers, as well as with Alexander Garber. She participated with noted artists such as Natalia Gutman, Oleg Kagan, Saulius Sondeskis, Yuri Bashmet, The Moscow Soloists, Eliso Virsaladze, Georgian State String Quartet, and Otar Taktakishvili and accompanied and worked with the State Opera and Ballet Theater and with the choir of the Tbilisi State Conservatory.

Martiashvili is regarded as a virtuoso performer with musically perceptive insights and a wonderful lyric style. She has won various prizes in piano competitions, including first prize for the Tbilisi State Conservatory Competition in 1993 and 1994, and was nominated as the sole representative for the Republic of Georgia to the Scottish International Piano Competition in 1995. She has performed in numerous festivals and competitions and been guest soloist with several orchestras, including the Georgian State Symphony Orchestra, the Russian State Symphony Orchestra, USSR Large Radio/TV Symphony Orchestra, the Georgian Chamber Orchestra, and the Georgian State Radio Orchestra.

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