Excellent idea! I suggest that all classical musicians learn the history of improvisation in various styles. I also believe all performers should be able to improvise in a specific style.
I have written cadenzas for the Mozart Clarinet Concerto and
Rossini's Introduction, Theme and Variations. Although I did not improvise them on the spot, they were created through my improvisations at home.
Cellist Matt Turner and pianists Arthur Johnson and Drea Wagner will explore the history of classical improvisation in an interactive performance. They will explore the many manifestations of improvisation through discussion and demonstration of different approaches to spontaneous music-making.
"Composers like Bach, Mozart, Beethoven and Chopin were known as composers, performers and improvisers. The art of improvisation was virtually lost among classical musicians when performers and composers became more specialized during the 19th century."