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Middle School and High School Students’ Probabilistic Reasoning on Coin Tasks

Laurie H. Rubel 

November 2007, Volume 38, Issue 5, Page 531

Abstract:
This article describes a subset of results from a larger study (Rubel, 2002) that explored middle school and high school students’ probabilistic reasoning abilities across a variety of probabilistic contexts and constructs. Students in grades 5, 7, 9, and 11 at an urban, private school for boys (n = 173) completed a Probability Inventory, comprising adapted tasks from the research literature, which required students to provide answers as well as justifications of their responses. Supplemental clinical interviews were conducted with 33 students to provide further detail about their reasoning. This article focuses specifically on the probabilistic constructs of compound events and independence in the context of coin tossing.    

Keywords:
Grade 5
Grade 7
Grade 9
Grade 11
Article
Conceptual Development
Discrete Math
Math Coordinator / Coach
Multivariate Methods
Probability
Teacher
Problems
Problem Solving / Problem Posing
Survey Studies
Professional Development / Teacher Education
Reasoning and Proof
Representation
Theory