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The Sample Space: One of Many Ways to Partition the Set of All Possible Outcomes (Report)

Australian Mathematics Teacher 2011, Fall, 67, 3

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In this article, we discuss how acknowledging and embracing that the sample space is one of many ways to partition the set of all possible outcomes impacts the teaching and learning of sample space and probability. After recounting an exchange surrounding two viable answers to a probability question, we detail how developments arising from mathematics education research investigating the partitioning of all possible outcomes can be integrated into the mathematics classroom. As a result, we present a unique perspective to normatively incorrect responses. With the recent publication of Focus in High School Mathematics: Reason and Sense Making in Probability and Statistics (National Council of Teachers of Mathematics (NCTM), 2009), I decided to revisit a memorable exchange that occurred while teaching a lesson on probability in my former high school classroom. The purpose of this article is to recount my own reasoning and sense making of that exchange and, in doing so, present a novel approach to aid in teaching sample space and probability.

The Sample Space: One of Many Ways to Partition the Set of All Possible Outcomes (Report)
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  • €2.99
  • Available on iPhone, iPad, iPod touch, and Mac.
  • Category: Education
  • Published: 22 September 2011
  • Publisher: The Australian Association of Mathematics Teachers, Inc.
  • Print Length: 12 Pages
  • Language: English
  • Requirements: To view this book, you must have an iOS device with iBooks 1.3.1 or later and iOS 4.3.3 or later, or a Mac with iBooks 1.0 or later and OS X 10.9 or later.

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