His teaching methods were largely based on those of Theodor Leschetizky and his pupils he met during the time he taught in Lviv. Later they were further developed by his daughter, Ilona Štěpánová-Kurzová.
Kurz is known for his reworking of the solo part of Antonín Dvořák's Piano Concerto in G minor, Op. 33, which was originally composed in 1876. For more than a decade after the concerto's first performance, it suffered from neglect and critical disdain.
In his 20s, Kurz undertook a revision of the solo part, and it is this version that he frequently performed. Since that time, the original and the Kurz versions have been printed together in Otakar Šourek's critical edition of the score, one beneath the other, so that the soloist can choose which version to perform. The Kurz version has become a part of the standard piano repertoire. Dvořák's original orchestral material is not affected by the soloist's choice.[3]
In 1919, Ilona Kurzová played the first performance of the Kurz version of the concerto, conducted by Václav Talich. This revision was later adopted and recorded by Rudolf Firkušný, who in the 1950s also introduced a few cuts to the first and third movements. In the 1970s he abandoned all revisions in favour of the original version by Dvořák.