What you can learn on
Beginner and Early Intermediate students:
Lesson , Technique, and Theory books from any of the following methods: Alfred’s Basic Piano Library, Helen Marlais’ Succeeding at the Piano, Faber’s Piano Adventures, Carol Matz Piano Method
Repertoire may include student/teacher duets on familiar folk tunes such as Yankee Doodle, arrangements of classics and pop tunes
Intermediate students: Scales, Chords, & Arpeggios by Bastien
Selected Etude Books such as Burgmuller and Kabalevsky
Repertoire may include Classics from the Baroque, Classical, Romantic, and Modern time periods, Broadway and Pop, Learning to fake music through chord knowledge, NewAge piano such as David Lanz or Yiruma, Jazz piano such as Vince Guaraldi
Technique book: The Virtuoso Pianist by Hanon
Etudes by Czerny or Heller
Repertoire may include Bach Fugues, Mozart Sonatas, Beethoven Sonatas, Baroque Dances, Debussy’s Claire de Lune, Listz’s Liebestraum, and many others from the standard repertoire of piano literature.
After assessing the skill level of the student, it depends on their satisfaction with their current method book. If the student is happy with their current method books, there is no reason to switch.