Pedagogical Content Knowledge

Probability

This page will provide resources that may assist the professional learning of staff in the area of probability. 

Professional Readings

Is Chance Fair? One student's thoughts on Probability(This link will take you to the jstor site.  On the right hand side is drop down menu 'Alternate access options for independent researchers'.  Click on the 'Read online - read 100 articles/ month free'. You will need to join to access the free articles)

Cynthia Pratt Nicolson

This article looks at one student that is learning to deal with probability.  It explores this student's understanding of chance which demonstrates some sophisticated insights and surprising misconceptions. 

Steven Nisbet and Anne Williams 

This article outlines a study that was undertaken to implement a series of chance games and activities in a year 7 classroom, and investigate the students’ knowledge about probability concepts, as well as their attitudes to chance. It includes the descriptions for several games and activities that were used in the study. Suitable for students in upper primary and lower secondary.

Jenni Way

This paper focuses on the characteristics of children’s strategies for making probabilistic judgements in each stage, and on the implications for teaching.  The study involved 74 children aged four to twelve years from three schools.  These children had not received any formal instruction in probability.  

The study confirmed the presence of three developmental stages, but also revealed two distinct transitional stages.

Peter Bryant and Terezinha Nunes (University of Oxford)

This is a literature review commissioned in 2012 by the Nuffield Foundation.  The authors identify four ‘cognitive demands’ made on children when learning about probability, and examine evidence in each of these areas: randomness, the sample space, comparing and quantifying probabilities, and correlations.  

They draw together international evidence, from the early years through to adulthood, and highlight studies that are of particular relevance to teaching.

Resources

A presentation given by Rosemary Callingham, University of Tasmania as part of the Catholic Education Melbourne Sustaining Mathematics Education 5-7 program 2013. 

This presentation was given as part of the Catholic Education Melbourne Success In Numeracy Education Network day in 2005.