Leone Burton's contribution to mathematics education focused on researching the practices of working mathematicians and arguing their relevance for school teaching and learning. This research is included in what is now termed the field of
ethnomathematics which examines how mathematics is related to the culture in which it is developed. At the Open University, Burton collaborated in creating innovative courses in teacher education, Developing Mathematical Thinking, that emphasized the role of problem solving in mathematics and argued that teachers should be aware of mathematical reasoning as well as mathematical content. A subsequent publication,
Thinking Mathematically, written in 1982 with Mason and Stacey, brought these ideas to an international teacher audience focusing on teachers' own knowledge of using and applying mathematics. From 1984 to 1988 Burton was international convenor for the International Organization of Women and Mathematics Education and visiting professor at institutions in Asia. She played a major role in shifting teachers’ perceptions in relation to girls and mathematics in the UK and other places around the world. Burton founded the monograph series International Perspective on Mathematics Education with the
Greenwood Publishing group in 2001 which published three monographs between 2002 and 2006. This monograph series was subsequently renamed International Perspectives on Mathematics Education: Cognition, Equity and Society in honor of her pioneering work on equity and gender issues in mathematics education, edited by
Bharath Sriraman, and published by
Information Age Publishing. Her final book, Mathematicians as Enquirers, used interviews to characterize the ways professional mathematicians learn, including enquiry, visualization and collaboration. This research showed that the ways mathematicians learn are consistent with principles recognized in mathematics education research as suitable for school learning. ==Family==