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Coin-sequences and coin-combinations taught as companion tasks

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Bill, AF and Gayton, P 2010 , Coin-sequences and coin-combinations taught as companion tasks , Data and Context in statistics education: towards an evidence based society. Proceedings of the 8th International Conference on Teaching Statistics , International Association for Statistics Education (IASE) & International Statistical Institute (ISI), Ljubljana, Slovenia.

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Abstract

Using both physical and Fathom™ virtual coins Year 10 students explored the distinction between coin-sequences and coin-combinations (where the order is not important) presented as companion tasks within an integrated coin system. This approach sought to highlight two key concepts within the one teaching unit: coin-sequences, to examine independent events, and coin-combinations, to examine the binomial distribution. The misconception that a particular coin-sequence (e.g. HHHHH) is less likely to occur may arise when a coin-sequence task is re-interpreted incorrectly as a coin-combination (e.g. 5 Heads). Pedagogy was based on principles that emphasised profound understanding through the use of multiple approaches to problem solving.

Item Type: Book
Authors/Creators:Bill, AF and Gayton, P
Keywords: ICOTS8 probability coin toss coin-sequence coin-combination Fathom virtual UTas Ma binomial independent
Publisher: International Association for Statistics Education (IASE) & International Statistical Institute (ISI)
Additional Information:

Copyright © 2010 ISI/IASE

In C. Reading (Ed.), Data and context in statistics education: Towards an evidence-based society. Proceedings of the
Eighth International Conference on Teaching Statistics (ICOTS8, July, 2010), Ljubljana, Slovenia. Voorburg, The
Netherlands: International Statistical Institute. www.stat.auckland.ac.nz/~iase/publications.php [© 2010 ISI/IASE]

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