Background: William Taylor (July 24, 1921 - December 28, 2010) was an American jazz pianist, composer, broadcaster and educator. He was the Robert L. Jones Distinguished Professor of Music at East Carolina University in Greenville, and from 1994 was the artistic director for jazz at the John F. Kennedy Center for the Performing Arts in Washington, D.C. A jazz activist, Taylor sat on the Honorary Founders Board of The Jazz Foundation of America, an organisation he started in 1989, with Ann Ruckert, Herb Storfer and Phoebe Jacobs, to save the homes and the lives of America's elderly jazz and blues musicians, later including musicians who survived Hurricane Katrina. Taylor was also a jazz educator, who lectured in colleges, served on panels and travelled worldwide as a jazz ambassador.
Context: In 1952 Taylor composed one of his most famous tunes, "I Wish I Knew How It Would Feel to Be Free", which achieved more popularity with the civil rights movement of the 1950s and 1960s. Nina Simone covered the song in her 1967 album Silk & Soul. The tune is widely known in the UK as a piano instrumental version, used for BBC Television's long-running Film... programme. He made dozens of recordings in the 1950s and 1960s, notably the album with Cuban percussionist Candido Camero, entitled Billy Taylor Trio with Candido, My Fair Lady Loves Jazz, Cross Section and Taylor Made Jazz.  Taylor's broadcast career also thrived. In 1961, he founded New York's Jazzmobile, which provides an arts education program via workshops, master classes, lecture demonstrations, arts enrichment programs, outdoor summer mobile concerts, special indoor concerts and special projects. In 1958, he became the Musical Director of NBC's The Subject Is Jazz, the first ever television series focusing on jazz. The 13-part series was produced by the new National Educational Television Network (NET) and hosted guests including Ellington, Aaron Copland, Bill Evans, Cannonball Adderley, Jimmy Rushing and Langston Hughes.  Taylor also worked as a DJ and program director on radio station WLIB in New York in the 1960s. During the 1960s, the Billy Taylor Trio was a regular feature of the Hickory House on West 55th Street in Manhattan. From 1969 to 1972, he served as the music director for The David Frost Show and was the first African American to lead a talk-show band. Louis Armstrong, Count Basie, Benny Goodman and Buddy Rich were just a few of the musicians who played on the show.  In 1981, Jazzmobile produced a jazz special for National Public Radio, for which the program received the Peabody Award for Excellence in Broadcasting Programs. Jazzmobile's 1990 Tribute Concert to Dr. Taylor at Avery Fisher Hall, part of the JVC Jazz Festival, featured Nancy Wilson, Ahmad Jamal Trio and Terence Blanchard Quintet.
Question: What did he do in the middle part of his career?

Answer:
Taylor composed one of his most famous tunes, "I Wish I Knew How It Would Feel to Be Free",