Education:

University of Notre Dame, B.A. 1960 (mathematics); University of California, Berkeley, M.A. 1962, Ph.D. 1964 (mathematics)

Teaching Experience:

• Benjamin Peirce Instructor, Harvard, 1964-6;
• Research Associate, Universiteit van Amsterdam, 1966-7;
• Brown University: Asst. Prof. 1967, Assoc. Prof. 1970, Professor 1973
• Walter H. Annenberg Professor of the Year 1998, Brown University
• G. Leonard Baker Visiting Professor of Mathmatics, Yale, Fall 1998
• Visiting Professor, University of Notre Dame, Fall 2001
• Visiting Professor, UCLA, Winter 2002
• Visiting Professor, Univesity of Georgia Mathematics Department and College of Education, Spring 2006
• Royce Family Professor in Teaching Excellence, 2005-2008

Teaching Awards:

• Danforth (1960) and Woodrow Wilson (1959) Fellowships;
• Senior Teaching Citation, 1976 (chosen by the Brown senior class);
• Lester Ford Award 1978 (for outstanding expository writing);
• Joseph Priestley Medallion, Dickinson College 1987 (science award)
• Bray Award for Teaching Excellence in Sciences, Brown 1993 (faculty);
• Mathematical Association of America Northeastern Section Award 1995;
• MAA National Award for Distinguished College or University Teaching of Mathematics 1996 (one of three awarded annually).
• Doctor of Science, honoris causa, Fairfield University, 1998
• Pew Scholar, Carnegie Foundation Teaching Academy, 1999
• Carnegie Fellow, Carnegie Foundation, 1999-2000
• Doctor of Science, Honoris Causa, Rhode Island College, 2001
• NSF Director's Award for Distinguished Teaching Scholar, 2004

Publications Directly Related to Teaching:

1. International Congress of Mathematicians, Helsinki, 1978, invited address in the section on Pedagogy, Computer Animation and the Geometry of Surfaces in 3- and 4-Space (the first such presentation to involve graphics).
2. Linear Algebra Through Geometry (with John Wermer), Springer-Verlag 1983, revised and expanded second edition 1991
3. EDGE-The Educational Differential Geometry Environment, (with Richard Schwartz) 1987 (reworking and expansion of a student final project)
4. Interactive Geometry and Multivariable Calculus on the Internet, CBMS Issues in Mathematics Education, Volume 14 (2007), 17-31.
5. Algebraic Thinking and Geometric Thinking, Seventieth Annual NCTM Yearbook (2008).
6. Beyond the Third Dimension, Scientific American Library 1990, 1996

Nine other articles on teaching (among 75 bibliography items)

Service:

• Assoc. Editorships:
  • Mathematics Magazine 1978-81,
  • Amer. Math. Monthly 1982-85,
  • Geometriae Dedicata 1986-95,
  • Communications in Visual Mathematics, 1996-;
• Acting Dean of Student Affairs, Brown, 1970-71;
• National Committee: Teaching Assistants and Part-Time Instructors;
• Board Memberships:
  • Society for Values in Higher Education,
  • CommonCause of RI,
  • Mathematical Association of America, President, 1999-2000