The rationality debate: Application of cognitive psychology to mathematics education

Educational Studies in Mathematics

Volumn 62, Issue 2, 2006, Pages 105-126

  Leron, Uri ^a   Hazzan, Orit ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Cognitive psychology; Dual process theory; Heuristics and biases; Misconceptions; Rationality debate

Indexed keywords

EID: 33746724691     PISSN: 00131954     EISSN: 15730816     Source Type: Journal    
DOI: 10.1007/s10649-006-4833-1     Document Type: Article

References (27)

1. Arcavi, A.: 1994, 'Symbol sense: Informal sense-making in formal mathematics', For the Learning of Mathematics 14(3), 24-35.
2. Clement, J., Lockhead, J. and Monk, G.: 1981, 'Translation difficulties in Learning Mathematics', American Mathematical Monthly 88, 286-290.
3. Dawkins, R.: 1976/1990, The Selfish Gene, Oxford University Press, Oxford.
4. Fischbein, E.: 1987, Intuition in Science and Mathematics: An Educational Approach, Reidel.
5. Gallian, J.A.: 1990, Contemporary Abstract Algebra, 2nd edn., Heath, Boston.
6. Geary, D.: 2002, 'Principles of evolutionary educational psychology', Learning and Individual Differences 12, 317-345.
7. Gigerenzer, G. and Todd, P.M.: 1999, Simple Heuristics that Make us Smart, Oxford University Press, New York.
8. Gilovich, T., Griffin, D. and Kahneman, D. (Eds.): 2002, Heuristics and Biases: The Psychology of Intuitive Judgment, Cambridge University Press.
9. Hazzan, O. and Leron, U.: 1996, 'Students' use and misuse of mathematical theorems: The case of Lagrange's theorem', For the Learning of Mathematics 16(1), 23-26.
10. Kahneman, D. (Nobel Prize Lecture, December 8): 2002, 'Maps of bounded rationality: A perspective on intuitive judgment and choice', in T. Frangsmyr (éd.), Les Prix Nobel, pp. 416-499. Also accessible at http://www.nobel.se/economics/laureates/2002/kahnemannlecture.pdf.
11. Kahneman, D., Slovic, T. and Tversky, A.: 1982, Judgment Under Uncertainty: Heuristics and Biases, Cambridge University Press.
12. Leron, U. and Hazzan, O.: 1997, 'The world according to Johnny: A coping perspective in mathematics education', Educational Studies in Mathematics 32, 265-292.
13. Pinker, S.: 2002, The Blank Slate: The Modern Denial of Human Nature, Viking.
14. Polya, G.: 1973, How to Solve It? Princeton University Press, Princeton, New-Jersey.
15. Ridley, M.: 2003, Nature via Nurture: Genes, Experience, and What Makes Us Human, Harper Collins.
16. Samuels, R., Stich, S. and Tremoulet, P.D.: 1999, 'Rethinking rationality: From bleak implications to darwinian modules', in E. LePore and Z. Pylyshyn (eds.), What Is Cognitive Science?, Blackwell.
17. Schoenfeld, A.H.: 1985, Mathematical Problem Solving, New York: Academic Press.
18. Schoenfeld, A.H.: 1987, 'What is all the fuss about metacognition?', in A.H. Schoenfeld (ed.), Cognitive Science and Mathematics Education, Lawrence Erlbaum Associates, pp. 189-215.
19. Schòn, D.A.: 1983, The Reflective Practitioner, BasicBooks.
20. Schön, D.A.: 1987, Educating the Reflective Practitioner: Towards a New Design for Teaching and Learning in The Profession, San Francisco, Jossey-Bass.
21. Simon, H.A.: 1982, Models of Bounded Rationality, MIT Press.
22. Soloway, E., Lochhead, J. and Clement, J.: 1982, 'Does computer programming enhance problem solving ability? Some positive evidence on algebra word problems', in R.J. Seidel, R.E. Anderson and B. Hunter (eds.), Computer Literacy, Academic Press, pp. 171-185.
23. Stanovich, K.E. and West, R.F.: 2000, 'Individual differences in reasoning: Implications for the rationality debate', Behavioral and Brain Sciences 23, 645-726.
24. Stanovich, K.E. and West, R.F.: 2003, 'Evolutionary versus instrumental goals: How evolutionary psychology misconceives human rationality', in D.E. Over (ed.), Evolution and the Psychology of Thinking: The Debate, Psychology Press, pp. 171-230.
25. Stavy, R. and Tirosh, D.: 2000, How Students (Mis-)Understand Science and Mathematics: Intuitive Rules, Teachers College Press.
26. Todd, P.M. and Gigerenzer, G.: 2000, 'Precis of simple heuristic that make us smart', Behavioral and Brain Sciences 23, 727-780.
27. Vinner, S.: 1997, The pseudo-conceptual and the pseudo-analytical thought processes in mathematics learning', Educational Studies in Mathematics 34, 97-129.