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Building a Connection Between Experimental and Theorectical Aspects of Probability


Ireland, S and Watson, JM, Building a Connection Between Experimental and Theorectical Aspects of Probability, International Electronic Journal of Mathematics Education, 4, (3) pp. 339-370. ISSN 1306-3030 (2009) [Refereed Article]

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Copyright 2009 by GOKKUSAGI


This paper addresses a question identified by Graham Jones: what are the connections made by students in the middle years of schooling between classical and frequentist orientations to probability? It does so based on two extended lessons with a class of Grade 5/6 students and in-depth interviews with eight students from the class. The Model 1 version of the software TinkerPlots was used in both settings to simulate increasingly large samples of random events. The aim was to document the students' understanding of probability on a continuum from experimental to theoretical, including consideration of the interaction of manipulatives, the simulator, and the law of large numbers. A cognitive developmental model was used to assess students' understanding and recommendations are made for classroom interventions. © 2009 by GOKKUSAGI.

Item Details

Item Type:Refereed Article
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:Ireland, S (Mr Seth Ireland)
UTAS Author:Watson, JM (Professor Jane Watson)
ID Code:60575
Year Published:2009
Deposited By:Education
Deposited On:2010-02-11
Last Modified:2012-10-17
Downloads:2 View Download Statistics

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