Martin began his teaching career when he was a student at Trinity College of Music (1977-81).
He taught woodwind as a peripatetic instrumentalist for the Inner London Education Authority throughout a number of secondary schools including Haverstock, Kennington and Skinners.

After 10 years of doing this he gradually got asked to teach in Higher Education and began teaching at the Royal Academy of Music and Middlesex University in 1989. He was now specialising in saxophone teaching (having given up flute and clarinet) at Middlesex.
At the Royal Academy, in addition to the saxophone, he was given the opportunity to teach standard repertoire, improvisation, Jazz History and coach ensembles featuring a wide range of music including Ornette Coleman, Keith Jarrett, Charlie Parker, Miles Davis, John Coltrane and other important jazz masters that he had made studies of himself.
He has also taught at Guildhall School of Music and Drama, Royal Welsh College of Music and Drama and was external examiner at Birmingham Conservatoire for a number of years in addition to doing some occasional teaching there.

He had also begun teaching on summer schools and weekend courses. This started when he was asked to deputise for Phil Todd on the Hull Jazz Course in the 1980's. The tutors consisted of musicians who had played in Ian Carr's Nucleus such as Geoff Castle, Jeff Clyne and John Marshall. Martin became a regular tutor on this and subsequently taught on the Glamorgan summer course regularly until the present and for several years on the International French Summer School, Wavendon and now on the National Youth Jazz Collective course.

Since being asked to teach at Trinity Laban in 2000 he now is very involved in the jazz course there led by Simon Purcell and is module leader of postgraduate improvisation and also teaches saxophone, second year improvisation, Jazz history, Jazz for classical students, ensembles and auditions prospective students.

He also teaches saxophone and improvisation privately and is available for workshops.
The workshops could be all saxophone players or jazz ensembles of any size and instrumentation.
The teaching, whether individual or group, will include methods of how to practice improvisation, learning tunes, harmony, rhythmic awareness, sound, group playing and what to listen for in Jazz.