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|Title:||Making connections between the sample space and the probability of an event||Contributor(s):||Prodromou, Theodosia (author)||Publication Date:||2011||Handle Link:||https://hdl.handle.net/1959.11/9932||Abstract:||In this paper, I explore students' emerging thinking about "sample space" and "probability of an event" through an observation of 9- to 10-year-olds, challenged to reason about conditional probability in both "with" and "without" replacement situations. This study used a cognitive framework that captures the nature of students' probabilistic reasoning across four levels (subjective, transitional, informal quantitative, numerical) in relation to conditional probability tasks. The results show shifts in the structural complexity of students' thinking across the first three levels. However, none of the students reached level 4.||Publication Type:||Conference Publication||Conference Name:||PME 35: 35th Conference of the International Group for the Psychology of Mathematics Education, Ankara, Turkey, 10th - 15th July, 2011||Conference Details:||PME 35: 35th Conference of the International Group for the Psychology of Mathematics Education, Ankara, Turkey, 10th - 15th July, 2011||Source of Publication:||Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education: Developing Mathematical Thinking, v.3. Research reports, H-P, p. 401-408||Publisher:||International Group for the Psychology of Mathematics Education||Place of Publication:||Ankara, Turkey||Field of Research (FOR):||139999 Education not elsewhere classified||Peer Reviewed:||Yes||HERDC Category Description:||E1 Refereed Scholarly Conference Publication||Other Links:||http://trove.nla.gov.au/work/160163805||Series Name:||PME Conference Proceedings||Series Number :||35||Statistics to Oct 2018:||Visitors: 233
|Appears in Collections:||Conference Publication|
School of Education
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