Conflict between perception, cognition and validation as Year 12 and university students analyse the probability of an event

Baturo, Annette R. (2001) Conflict between perception, cognition and validation as Year 12 and university students analyse the probability of an event. In van den Heuvel-Panhuizen, Marja (Ed.) 25th conference of the International Group for the Psychology of Mathematics Education, July 12-17, 2001, Utrecht, The Netherlands.

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Eighteen Year 12 students and 2 cohorts of final-year BEd students (74 students) were shown a "fair" (equiprobable outcomes) spinner with three noncontiguous colours and asked whether each of the three colours had the same chance of "being spun". Half of the Year 12 students either gave unequivocal incorrect responses derived from inappropriate considerations of sector size or number of sectors per colour, or vacillated between correct and incorrect responses and were unable to make a decision (equivocal). These findings were echoed with the university students although their incorrect responses tended to be more unequivocal than equivocal. Validation through trialing (with the university students) did not help as the results did not show exactly 1/3 for each colour and, in fact, were interpreted as supporting an incorrect response.

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ID Code: 3367
Item Type: Conference Paper
Refereed: Yes
Additional URLs:
Keywords: probability, cognition, mathematics, validation, elementary teaching, primary teaching, HERN
ISBN: 9074684165
Divisions: Current > QUT Faculties and Divisions > Faculty of Education
Copyright Owner: Copyright 2001 (please consult author)
Deposited On: 03 Feb 2006 00:00
Last Modified: 27 Oct 2014 04:55

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