Background: Arthur Asher Miller (October 17, 1915 - February 10, 2005) was an American playwright, essayist, and figure in twentieth-century American theater. Among his most popular plays are All My Sons (1947), Death of a Salesman (1949), The Crucible (1953) and A View from the Bridge (1955, revised 1956). He also wrote several screenplays and was most noted for his work on The Misfits (1961). The drama Death of a Salesman has been numbered on the short list of finest American plays in the 20th century alongside Eugene O'Neill's Long Day's Journey into Night and Tennessee Williams's A Streetcar Named Desire.
Context: The Arthur Miller Foundation was founded to honor the legacy of Miller and his New York City Public School Education. The mission of the foundation is: "Promoting increased access and equity to theater arts education in our schools and increasing the number of students receiving theater arts education as an integral part of their academic curriculum." Other initiatives include certification of new theater teachers and their placement in public schools; increasing the number of theater teachers in the system from the current estimate of 180 teachers in 1800 schools; supporting professional development of all certified theater teachers; providing teaching artists, cultural partners, physical spaces, and theater ticket allocations for students. The foundation's primary purpose is to provide arts education in the New York City school system. The current chancellor of the foundation is Carmen Farina, a large proponent of the Common Core State Standards Initiative. Alec Baldwin, Ellen Barkin, Katori Hall, Dustin Hoffman, Scarlett Johansson, Tony Kushner, Michael Mayer, Jim McElhinney, Julianne Moore, Liam Neeson, Lynn Nottage, David O. Russell, Liev Schreiber all serve on the Master Arts Council. Son-in-law Daniel Day-Lewis serves on the current board of directors.  The foundation celebrated Miller's 100th birthday with a one-night-only performance of Miller's seminal works in November 2015.  The Arthur Miller Foundation currently supports a pilot program in theater and film at the public school Quest to Learn in partnership with the Institute of Play. The model is being used as an in-school elective theater class and lab. The objective is to create a sustainable theater education model to disseminate to teachers at professional development workshops.
Question: How did miller's foundation start?

Answer:
to honor the legacy of Miller and his New York City Public School Education.