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Bibliography 3: Expert Problem Solvers
What Does it Take to be an Expert Problem Solver?
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by Annie and John Selden
August 30, 1997
This is a supplement to the Research Sampler column of the
same name.
Return to the Research Sampler
Bibliography page or to the Research
Sampler article on Problem Solving.
- Arcavi, A., Kessel, C., Meira, L. & Smith, J. P. III
(to appear). Teaching mathematical problem solving: An
analysis of an emergent classroom community. In J.
Kaput, A. H. Schoenfeld & E. Dubinsky (Eds.), Research
in Collegiate Mathematics Education, III, Conference
Board of the Mathematical Sciences, Issues in Mathematics
Education, Providence, RI: American Mathematical Society.
- Chi, M. T., Feltovich, P. & Glaser, R. (1981).
Categorization and representation of physics problems
by experts and novices, Cognitive Science 5,
121-152.
- DeBellis, V. A. & Goldin, G. A. (1997). The affective
domain in mathematical problem solving. In Proceedings
of the 21st Conference of the International Group for the
Psychology of Mathematics Education, Vol. 2
(pp. 209-216), Lahti, Finland.
- DeFranco, T. C. (1996). A perspective on
mathematical problem-solving expertise based on the
performance of male Ph.D. mathematicians. In J. Kaput,
A. H. Schoenfeld & E. Dubinsky (Eds.), Research in
Collegiate Mathematics Education, II (pp. 195-213),
Conference Board of the Mathematical Sciences,
Issues in Mathematics Education, Vol. 6, Providence,
RI: American Mathematical Society.
- Heller, J. I. & Hungate, H. N. (1985). Implications
for mathematics instruction of research in scientific problem
solving. In E. A. Silver (Ed.), Teaching and Learning
Mathematical Problem Solving: Multiple research
perspectives (pp. 83-112). Hillsdale, NJ: Lawrence
Erlbaum.
- McLeod, D. B. (1992). Research on affect in mathematics
education: a reconceptualization. In D. A. Grouws (Ed.),
NCTM Handbook of Research on Mathematics Teaching and
Learning (pp. 575-596), New York, NY: Macmillan.
- McLeod, D. B. & Adams, V.M., Eds. (1989). Affect
and Mathematical Problem Solving: A New Perspective,
New York: Springer-Verlag.
- McLeod, D. B., Craviotto, C. & Ortega, M. (1990).
Students' affective responses to non-routine mathematical
problems: an empirical study. In Proceedings of the
Fourteenth Conference of the International Group for the
Psychology of Mathematics Education, Vol. I (pp.
159-166), CINVESTAV, Mexico.
- Newell, A. & Simon, H. (1972). Human Problem
Solving. Englewood Cliffs, NJ: Prentice-Hall.
- Pólya, G. (1945; 2nd edition 1957). How
to Solve It. Princeton, NJ: Princeton University Press.
- Pólya, G. (1954). Mathematics and Plausible
Reasoning; Vol. 1. Induction and Analogy in Mathematics;
Vol. 2. Patterns of Plausible Inference. Princeton,
NJ: Princeton University Press.
- Pólya, G. (1962, 1965/1981). Mathematical
Discovery. (Volume 1, 1962; Volume 2, 1965).
Princeton, NJ: Princeton University Press. (Combined
paperback edition, 1981. New York, NY: Wiley).
- Reif, F. & Heller, J. I. (1982). Knowledge structure
and problem solving in physics, Educational Psychologist
17, 102-127.
- Schoenfeld, A. H. (1985). Mathematical Problem
Solving, Orlando, FL: Academic Press.
- Schoenfeld, A. H.* (1992). Learning to think
mathematically: problem solving, metacognition, and sense
making in mathematics. In D. A. Grouws (Ed.), NCTM
Handbook of Research on Mathematics Teaching and Learning
(pp. 334-370), New York, NY: Macmillan.
- Winston, P. H. (1992). Artificial Intelligence
, 3rd. edition, Reading, MA: Addison-Wesley.
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* A good overview of the research perspectives and results
on problem-solving up to about 1990.
Return to Research Sampler
Bibliography page or to Research
Sampler article on Problem Solving.
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