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Exploring the potential for student development of the big ideas of statistics with random trials: the case of the mystery spinner

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Watson, J ORCID: 0000-0002-6001-7248 and Fitzallen, N ORCID: 0000-0002-0002-5748 2022 , 'Exploring the potential for student development of the big ideas of statistics with random trials: the case of the mystery spinner', paper presented at the 2022 Mathematics Education Research Group of Australasia, 03-05 July 2022, Launceston, Tasmania.

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Abstract

This paper reports on the potential for engaging students in an activity that considers the interconnectedness of the five Big Ideas of Statistics in the context of conducting random trials. In the study, two classes of Year 6 students (aged 11-12 years) used TinkerPlots to determine the sample space of a Mystery Spinner. Analysed for this paper were data collected from entries made in completed workbooks while engaged in the learning activity and responses to relevant questions in an end-of-year questionnaire from 27 students. The results indicated using an activity that included a probability model contributed to students working mathematically with percentages and frequencies and supported the development of intuitions about randomness and informal inference. This was promoted by students analysing the variation in the distribution of data and describing their expectations about an unknown sample space.

Item Type: Conference or Workshop Item (Paper)
Authors/Creators:Watson, J and Fitzallen, N
Keywords: Statistics, spinners, probability, grade 6
Journal or Publication Title: Proceedings of the 44th Annual Conference of the Mathematics Education Research Group of Australasia
Publisher: MERGA
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Copyright 2022 MERGA

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