Born in Brecon, the daughter of Henry Burford Wheeler, she attended Brecon County School for Girls and the University College of Wales, Aberystwyth. At Aberystwyth she was elected president of the Students' Representative Council. She held the degrees of BSc (1907), MSc (1911) and DSc (1916).
Her first teaching appointment was as lecturer in mental and moral science at Cheltenham Ladies College. She was later appointed to a lectureship in education at the University of Manchester, and served as Dean of the Faculty of Education. Wheeler stood as Labour candidate in the 1922 general election against Thomas Arthur Lewis. Wheeler moved to the University College at Cardiff where she served as Professor of Education, as well as (temporarily) the Dean of the Faculty of Education. In 1947 she became chairman of the Welsh Advisory Council on Youth Employment and chairman of the South Wales District of the Workers Education Association.
- Fellow, University of Wales