David Carraher
Ph.D, Psychology, City University of
New York
Principal Investigator
Phone: 617.873.9620
David Carraher
(david_carraher@terc.edu) is a Senior Scientist at TERC, in
Cambridge, MA. As co-PI on NSF's "Bridging Research and
Practice" Project he helped develop the Videopaper
Builder, software that allows teachers and researchers to
easily publish multimedia in web-browsable format. He has
published widely about mathematics and science learning,
including award-winning software in the U.S. and Brazil.
Currently he directs the NSF-funded project, "Algebra in
the Early Grades" and is director of research for the
Fulcrum Institute of Tufts University. He served as researcher,
advisor and director of numerous projects about science,
technology and mathematics in the U.S. and Brazil. As a
Professor of Psychology in Pernambuco, Brazil, he carried out
research on everyday mathematics in and out of school, having
published, with T. Nunes and A. Schliemann, Street Mathematics
and School Mathematics (New York: Cambridge U Press, 1993). He
chaired the scientific programs of ISSBD-94 (International
Society of the Study of Behavioral Development) and PME-95
(Psychology of Mathematics Education). His first book, O Senso
Crítico: Do Dia-a-dia Às Ciências Humanas
(SãoPaulo: Pioneira, 1983) continues to be widely used
in Brazil as a textbook on critical thinking. He recently
finished authoring Bringing Out the Algebraic Character of
Arithmetic (Erlbaum, in press) with A. Schliemann & B.
Brizuela; he is also co-editing Algebra in the Early Grades
with J. Kaput & Maria Blanton (Erlbaum, in press).
Books
Schliemann, A.D. & Carraher, D.W.
(Eds.) (1998). A Compreensão de Conceitos
Aritméticos: Pesquisa e Ensino, SBEM/Papirus, São
Paulo, Brazil.
L. Meira & D. Carraher (Eds.)
(1998). Proceedings of the XIX International Conference for the
Psychology of Mathematics Education. Recife, Brazil.
Nunes, T.N. Schliemann, A.D. &
Carraher, D.W. (1993). Street Mathematics and School
Mathematics. New York: Cambridge University Press.
Schliemann, A.D. & Carraher, D.W.,
Spinillo, A., Meira, L. & Falcão, (1993). Estudos em
Psicologia da Educação Matemática, Recife,
Brazil, Editora da UFPE.
Carraher, T.N.; Schliemann, A.D. &
Carraher, D.W. (1988). Na Vida, Dez; Na Escola, Zero.
São Paulo: Editora Cortez. [Spanish edition (1991) by
Siglo Veinteuno.]
Carraher, D.W. (l983). Senso
Crítico: Do Dia-a-Dia às Ciências Humanas.
[Critical Thinking: From Daily Life to the Social Sciences]
São Paulo: Pioneira, 6th edition, 1999.
Recent Publications
Carraher, D.W. & Schliemann, A.D.
(2001, in press). Modelling reasoning. In K. Gravemeijer, R.
Lehrer, B. van Oers, & L. Verschaffel (Eds.) Symbolizing
and Modeling in Mathematics Education. The Netherlands, Kluwer
Academic Publishers.
Carraher, D.W. & Schliemann, A.D.
(2001, in press). The transfer dilemma. Journal of the Learning
Sciences.
Carraher, D.W. & Schliemann, A.D.
(2001, in press). Is everyday mathematics truly relevant to
mathematics education? In J. Moshkovich & M. Brenner (Eds.)
Everyday Mathematics. Monographs of the Journal for Research in
Mathematics Education.
Carraher, D., Schliemann, A.D. &
Brizuela, B. (2001, in press). Can young students operate on
unknowns? In Proceedings of the XV International Conference for
the Psychology of Mathematics Education,. Utrecht, Holland,
July, 10 pp.
Schliemann, A.D. & Carraher, D.W.
(2001, in press). Culture and Cognition. In D. Matsumoto (Ed.)
Cultural Psychology. London/New York, Oxford University Press.
Schliemann, A.D. & Carraher, D.W.
(2001, in press) The evolution of mathematical understanding:
Everyday versus idealized reasoning. Developmental Review.
Schliemann, A.D, Carraher, D. &
Brizuela, B. (2001, in press). When tables become function
tables. In Proceedings of the XV International Conference for
the Psychology of Mathematics Education,. Utrecht, Holland,
July, 8 pp.
Carraher, D.W., Schliemann, A.D., &
Brizuela, B. (2001). Algebra in the Early Grades. Hands-On!,
Cambridge: TERC.
Carraher, D. (2001). [Entries on
measurement, proportional reasoning, and rounding.] Grinstein,
L.S. & Lipsey, S.J. (eds.) Encyclopedia of Mathematics
Education. NY: RoutledgeFalmer.
Carraher, D.W. (2001) Review of Beyond
Formulas in Mathematics and Teaching: Dynamics of the High
School Algebra Classroom. Bulletin of the National Association
of Secondary School Principals, 85, 623, March, 83-86.
Carraher, D.W. & Schliemann, A.D.
(2000). Lessons from everyday reasoning in mathematics
education: Realism versus meaningfulness. In D. Jonassen and S.
Land (Eds.) Theoretical Foundations of Learning Environments.
Mahwah, NJ, Lawrence Erlbaum Ass., Publishers (pp. 172-195).
Carraher, D., Schliemann, A.D., &
Brizuela, B. (2000). Children's Early Algebraic Concepts.
Plenary address. XXII Meeting of the Psychology of Mathematics
Education, North American Chapter, Tucson, AZ, October, 2000
[on CD].
Carraher, D.W., Brizuela, B.M., &
Schliemann, A.D. Bringing Out the Algebraic Character of
Arithmetic: Instantiating Variables In Addition and
Subtraction. In T. Nakahara & M. Koyama, (eds.),
Proceedings of the 24th Conference of the International Group
for the Psychology of Mathematics Education, Vol 2, 145-52,
Hiroshima.
Carraher, D.W., Nemirovsky, R., Di
Mattia, C., Lara-Meloy, T. & Earnest, D. (1999). Writing in
Video. Hands On.
Carraher, D., Schliemann, A., &
Brizuela, B. (2000). Bringing out the algebraic character of
arithmetic. Paper presented at the 1999 AERA Meeting (40 pp.).
