Use this URL to cite or link to this record in EThOS: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.525608
Title: A developmental study of representation and strategy in children's solutions to problems involving chance and probability
Author: Young, Andrew William
ISNI:       0000 0001 3575 5698
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 1974
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Abstract:
The problems used in the study involve two collections of elements of two colours. The proportions of elements of each colour in each of the collections is varied, and the way children reason when asked which collection they would prefer in order to gamble for a specified outcome is investigated in three situations: (a) The elements are beads to be drawn from boxes. (72 subjects aged 5-10 years, 48 subjects aged 11-14 years). (b) The elements are single segments marked on circles of different sizes with pointers to be spun. (72 subjects aged 6-11 years). (c) The elements are similar to (b), but marked into separate pieces to allow comparison by counting. (60 subjects, aged 6-10 years). Four possible ways of solving such problems are outlined: Method 1: Guessing, alternating choices and other irrelevant methods. Method 2: Comparing the amounts of the target elements in each collection, and choosing the collection with the greater amount. Method 3: Comparing the differences between the amount of target and non-target elements in each collection, and choosing the collection with the most favourable difference. Method 4: Comparing the proportions of target and non-target elements in each collection, and choosing the collection with the most favourable proportion. Within the main age range investigated. (6-10 years), methods 1-3 are found to form a developmental sequence, in situation (a), whereas in situations (b) and (c) the predominant developmental sequence is from Method 1 to Method 2 only. It is argued that this can be explained by considering the methods of quantification used by subjects in each situation. (A summary of the way in which the main themes are developed in the thesis is given at the end of the thesis.)
Supervisor: Not available Sponsor: Social Science Research Council (Great Britain)
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.525608  DOI: Not available
Keywords: BF Psychology ; QA Mathematics
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