Catalogue > Serials > Book Series > Edited Book > Contribution

Publication details

Publisher: Springer

Place: Berlin

Year: 2014

Pages: 101-116

Series: Advances in Mathematics Education

ISBN (Hardback): 9789400771543

Full citation:

Maxine Pfannkuch, Ilze Ziedins, "A modelling perspective on probability", in: Probabilistic thinking, Berlin, Springer, 2014

Abstract

In this chapter, we argue for three interconnected ways of thinking about probability—"true" probability, model probability, and empirical probability—and for attention to notions of "good", "poor" and "no" model. We illustrate these ways of thinking from the simple situation of throwing a die to the more complex situation of modelling bed numbers in an intensive care unit, which applied probabilists might consider. We then propose a reference framework for the purpose of thinking about the teaching and learning of probability from a modelling perspective and demonstrate with examples the thinking underpinning the framework. Against this framework we analyse a theory-driven and a data-driven learning approach to probability modelling used by two research groups in the probability education field. The implications of our analysis of these research groups' approach to learning probability and of our framework and ways of thinking about probability for teaching are discussed.

Publication details

Publisher: Springer

Place: Berlin

Year: 2014

Pages: 101-116

Series: Advances in Mathematics Education

ISBN (Hardback): 9789400771543

Full citation:

Maxine Pfannkuch, Ilze Ziedins, "A modelling perspective on probability", in: Probabilistic thinking, Berlin, Springer, 2014