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Title: Secondary School Students' Reasoning about Conditional Probability, Samples, and Sampling Procedures
Contributor(s): Prodromou, Theodosia  (author)orcid 
Publication Date: 2016
Open Access: Yes
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Abstract: In the Australian mathematics curriculum, Year 12 students (aged 16-17) are asked to solve conditional probability problems that involve the representation of the problem situation with two-way tables or three-dimensional diagrams and consider sampling procedures that result in different correct answers. In a small exploratory study, we investigate three Year 12 students' conceptions and reasoning about conditional probability, samples, and sampling procedures. Through interviews with the students, supported by analysis of their work investigating probabilities using tabular representations, we investigate the ways in which these students perceive, express, and answer conditional probability questions from statistics, and also how they reason about the importance of taking into account what is being sampled and how it is being sampled. We report on insights gained about these students' reasoning with different conditional probability problems, including how they interpret, analyse, solve, and communicate problems of conditional probability.
Publication Type: Journal Article
Source of Publication: Statistics Education Research Journal, 15(2), p. 106-125
Publisher: International Association for Statistical Education
Place of Publication: Voorgurg, The Netherlands
ISSN: 1570-1824
Field of Research (FoR) 2008: 130299 Curriculum and Pedagogy not elsewhere classified
130208 Mathematics and Numeracy Curriculum and Pedagogy
130202 Curriculum and Pedagogy Theory and Development
Field of Research (FoR) 2020: undefined
390109 Mathematics and numeracy curriculum and pedagogy
390102 Curriculum and pedagogy theory and development
Socio-Economic Objective (SEO) 2008: 930101 Learner and Learning Achievement
930102 Learner and Learning Processes
930103 Learner Development
Socio-Economic Objective (SEO) 2020: undefined
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
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Appears in Collections:Journal Article
School of Education

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