245
Views
5
CrossRef citations to date
0
Altmetric
MATHEMATICAL UNDERSTANDING

A SCALE FOR ASSESSING PROBABILISTIC THINKING AND THE REPRESENTATIVENESS TENDENCY

&
Pages 173-196 | Published online: 14 Apr 2008

References

  • Afantiti-Lamprianou , T. , and Williams , J. : 2002 , ' A scale for assessing probabilistic thinking and the representativeness tendency '. In A. D. Cockburn and E. Nardi Proceedings of the 26th Conference of the International Group for the Psychology of Mathematics Education (PME) (pp. 9 - 16 ). England : Norwich .
  • Amir , G. , Linchevski , L. , and Shefet , M. : 1999 , ' The probabilistic thinking of 11-12 year old children ' In O. Zaslavsky Proceedings of the 23rd Conference of the International Group for the Psychology of Mathematics Education (PME) (pp. 25 - 32 ). Haifa : Israel Institute of Technology .
  • Amir , G. and Williams , J. 1999 . Cultural Influences on Children's Probabilistic Thinking . Journal of Mathematical Behaviour , 18 ( 1 ) : 85 – 107 .
  • Batanero , C. , Serrano , L. , and Garfield , J. : 1996 , ' Heuristics and Biases in secondary school students' reasoning about probability .' In L. Puig and A. Gutierrez Proceedings of the 20th Conference of the International Group for the Psychology of Mathematics Education (PME) (pp. 51 - 58 ). Valencia : Universitat de Valencia .
  • Bright , G. W. , Harvey , J. G. , and Wheeler , M. M : 1982 , ' Teaching Statistics Concepts through Instructional Games. ' In D. R. Grey , P. Holmes , V. Barnett and G. M. Constable Proceedings of the First International Conference on Teaching Statistics (Volume I ) (pp. 158 - 168 ). England : University of Sheffield .
  • Cohen , J. L. 1979 . On the psychology of prediction: Whose is the fallacy? . Cognition, , 385- , 7 : 407
  • Falk , R. , Falk , R. and Levin , I. 1980 . A potential for learning probability in young children . Educational Studies in Mathematics , 11 : 181 – 204 .
  • Falk , R. and Wilkening , F. 1998 . Children's Construction of fair Chances: Adjusting Probabilities . Developmental Psychology , 34 ( 6 ) : 1340 – 1357 .
  • Fischbein , E. 1975 . The Intuitive Sources of Probabilistic Thinking in Children , Dordrecht : Reidel .
  • Fischbein , E. , Nello , M. S. and Marino , M. S. 1991 . Factors affecting Probabilistic Judgements in Children and Adolescents . Educational Studies in Mathematics , 22 : 523 – 549 .
  • Fischbein , E. and Schnarch , D. 1997 . The Evolution with age of probabilistic, intuitively based misconceptions . Journal of Research in Mathematics Education , 28 ( 1 ) : 96 – 105 .
  • Green , D. : 1982 , Probability Concepts in 11-16 Year Old Pupils . Report of Research, CAMET . Loughborough, , England : University of Technology .
  • Kahneman , D. , Slovic , P. and Tversky , A. 1982 , Judgment Under Uncertainty: Heuristics and Biases . Cambridge : Cambridge University Press .
  • Kapadia , R. , and Borovcnik , M. , 1991 , Chance Encounters: Probability in Education . Dordrecht : Kluwer .
  • Konold , C. : 1988 , Belief in Equally-likely vs. Unequally-likely Events . Draft Report . Amherst : Scientific Reasoning Research Institute .
  • Konold , C. , Pollatsek , A. , Well , A. , Lohmeier , J. and Lipson , A. 1993 . Inconsistencies in Students' Reasoning about Probability . Journal for Research in Mathematics Education , 24 ( 5 ) : 392 – 414 .
  • Lecoutre , M.-P. 1992 . Cognitive Models and Problem Spaces in "Purely Random" Situations . Educational Studies in Mathematics , 23 : 557 – 568 .
  • Lopes , L. L. 1991 . The Rhetoric of Irrationality . Theory and Psychology , 1 ( 1 ) : 65 – 82 .
  • Mosimege , M. D. 1998 . “ Culture, Games and Mathematics Education: An exploration based on string games ” . In Proceedings of the 22nd Conference of the International Group for the Psychology of Mathematics Education (PME) , Edited by: Olivier , A. and Newstead , K. 279 – 286 . South Africa : University of Stellenbosch .
  • Shaughnessy , J. 1992 . “ Research in Probability and Statistics: Reflections and Directions ” . In Handbook of Research on Mathematics Teaching and Learning , Edited by: Grouws , D.A. Reston : NCTM .
  • Shulman , L. S. 1987 . Knowledge and Teaching: Foundations of the new reform . Harvard Educational Review , 57 ( 1 ) : 1 – 22 .
  • Smith , J. P. , diSessa , A. A. and Rochelle , J. 1993 . Misconceptions Reconceived: A Constructivist Analysis of Knowledge in Transition . The Journal of the Learning Sciences , 3 ( 2 ) : 115 – 163 .
  • Tversky , A. and Kahneman , D. 1974 . Judgment under uncertainty: Heuristics and biases . Science , 185 : 1124 – 1131 .
  • Vygotsky , L. 1978 . Mind in Society , Cambridge : Harvard University Press .
  • Williams , J. S. and Ryan , J. T. 2000 . National Testing and the Improvement of Classroom Teaching: can they coexist? . British Educational Research Journal , 26 ( 1 ) : 49 – 73 .
  • Williams , J. and Ryan , J. 2001 . “ Charting argumentation space in conceptual locales ” . In Proceedings of the 25th Conference of the International Group for the Psychology of Mathematics Education , Edited by: van den Heuvel-Panhuizen , M. 423 – 430 . Utrecht University .
  • Wright , B. and Masters , G. 1982 . Rating Scale Analysis , Chicago : MESA Press .
  • Wright , B. and Stone , M. 1979 . Best test design , Chicago : MESA Press .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.