How can teachers build notions of conditional probability and independence?


Book: 
Exploring probability in school: Challenges for teaching and learning.
Authors: 
Tarr, J. E., & Lannin, J. K.
Editors: 
Jones, G. A.
Type: 
Category: 
Pages: 
215-238
Year: 
2005
Publisher: 
Springer, NY
Abstract: 

The focus of this chapter is on research in conditional probability and independence that uses both with- and without-replacement tasks. Probabilistic thinking about conditional occurrences as well as independence are explored. A framework postulates that middle school students' thinking in conditional probability and independence could be described and predicted across four levels that represent a continuum from subjective thinking to numerical reasoning. Then implications for teaching and learning are considered, emphasizing the fostering of understanding.

The CAUSE Research Group is supported in part by a member initiative grant from the American Statistical Association’s Section on Statistics and Data Science Education