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Likelihood and sample size: The understandings of students and their teachers


Watson, J and Callingham, R, Likelihood and sample size: The understandings of students and their teachers, Journal of Mathematical Behavior, 32, (3) pp. 660-672. ISSN 0732-3123 (2013) [Refereed Article]

Copyright Statement

Copyright 2013 Elsevier Inc.

DOI: doi:10.1016/j.jmathb.2013.08.003


The aim of this study was to consider the match of student statistical understanding and teacher pedagogical content knowledge in relation to sample size and likelihood. Students were given two contexts within which to compare the likelihood of events for different sample sizes. Teachers were presented with one of the contexts and asked what their students would do and how they would remediate incorrect responses. The data also provided the opportunity for a detailed hierarchical analysis of studentsí and teachersí understandings. Analysis of student solutions revealed a wide range of reasoning, some of which was apparently unfamiliar to teachers.

Item Details

Item Type:Refereed Article
Keywords:cognition, hospital problem, percentage, probability, sample size, school students, school teachers
Research Division:Education
Research Group:Curriculum and pedagogy
Research Field:Mathematics and numeracy curriculum and pedagogy
Objective Division:Education and Training
Objective Group:Learner and learning
Objective Field:Learner and learning not elsewhere classified
UTAS Author:Watson, J (Professor Jane Watson)
UTAS Author:Callingham, R (Associate Professor Rosemary Callingham)
ID Code:87985
Year Published:2013
Funding Support:Australian Research Council (LP0669106)
Deposited By:Education
Deposited On:2013-12-28
Last Modified:2014-08-07
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