Carolina Eyck wrote a book to learn playing the Theremin.
It is a kind of a beginners guide.
Carolina Eyck started to learn the theremin when she was very young (8 years, if I remember right) from Lydia Kavina. She also learned to play other instruments.
It teaches a method for playing the theremin for beginners, and it focusses how to move the hands and keep the pitches for the hand positions.
her home page:
http://www.carolina-eyck.de/ENGLISH/indexE.html
There are a lot of examples to play melodies in her book.
German Language:
Die Kunst des Thereminspiels
Lehrbuch: Die Thereminschule von Carolina Eyck
ISBN 3-933 757-07-X
EAN 4025 1187 0631
© 2006 SERVI Verlag, Berlin
English language version:
The Art of Playing the Theremin
A theremin method by Carolina Eyck
ISBN 3-933 757-08-8
EAN 4025 1187 0632
© 2006 SERVI Verlag, Berlin
The Art of Playing the Theremin Die Kunst des Thereminspiels
PS: Examples
PS: I just found: Carolina Eyck provides Examples of the pages of her book on her home page.