Secondary School Students' Reasoning about Conditional Probability, Samples, and Sampling Procedures

Title
Secondary School Students' Reasoning about Conditional Probability, Samples, and Sampling Procedures
Publication Date
2016
Author(s)
Prodromou, Theodosia
( author )
OrcID: https://orcid.org/0000-0002-0685-7756
Email: tprodrom@une.edu.au
UNE Id une-id:tprodrom
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
International Association for Statistical Education
Place of publication
Netherlands
DOI
10.52041/serj.v15i2.243
UNE publication id
une:19930
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.
Link
Citation
Statistics Education Research Journal, 15(2), p. 106-125
ISSN
1570-1824
Start page
106
End page
125

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