Thinking as Communicating

Anna Sfard's research focuses on the development of mathematical discourses in individual lives and in the course of history. In a series of studies in Israel, Canada, and the United States, she has been investigating the development of mathematical thinking in both history and individual learning. Results of these studies, both theoretical and empirical, have been published in more than 100 articles and edited volumes, many of which have been widely cited. The recipient of the 2007 Freudhental Medal for research in mathematics education, she is a Professor of Mathematics Education at the University of Haifa, the first holder of the Lappan-Phillips-Fitzgerald endowed chair in Michigan State University, and a Visiting Professor at the Institute of Education in London.

• Introduction; Part I. Discourse on Thinking: 1. Puzzling about (mathematical) thinking; 2. Objectification; 3. Commognition: thinking as communicating; 4. Thinking in language; Part II. Mathematics as Discourse: 5. Mathematics as a form of communication; 6. Objects of mathematical discourse: what mathematizing is all about; 7. Routines: how we mathematize; 8. Explorations, deeds, and rituals: what we mathematize for; 9. Looking back and ahead: solving old quandaries and facing new ones.

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