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Terence Mills – Australian Mathematics Education Journal, 2024
Terence Mills introduces us to Keynsian probability and discusses its implications for teaching probability. The author considers it unlikely that Keynes's theory would replace how we teach probability, but argues that it may make us think more deeply about the use of terms such as chance and probability when used in our lessons.
Descriptors: Probability, Mathematics Instruction, Teaching Methods, Theories
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Ava Greenwood; Sara Davies; Timothy J. McIntyre – Australian Mathematics Education Journal, 2023
This article is motivated by the importance of developing statistically literate students. The authors present a selection of problems that could be used to motivate student interest in probability as well as providing additional depth to the curriculum when used alongside traditional resources. The solutions presented utilise natural frequencies…
Descriptors: Probability, Mathematics Instruction, Teaching Methods, Statistics Education
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Stewart, Andrew – Australian Mathematics Education Journal, 2019
The Birthday Paradox problem can be investigated either with a carefully constructed spreadsheet (for greatest precision) or a calculator process (for reasonable precision). A number of ways of approaching this problem as a class activity are provided.
Descriptors: Teaching Methods, Spreadsheets, Computation, Calculators
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Kohlhoff, Pauline – Australian Mathematics Education Journal, 2021
The formula for the variance of a binomial distribution is both concise and elegant. However, it is often taught without reference to the underlying reasoning. That being the case, is it important, or useful, to understand why this formula can be used to calculate the requisite result? In this article, the author demonstrates a teaching sequence…
Descriptors: Mathematics Instruction, Mathematical Formulas, Teaching Methods, Concept Formation
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Hauben, Manfred – Australian Mathematics Education Journal, 2019
Manfred Hauben proposes an approach to teaching non-transitive relationships between 'paradoxical' dice using simple statistical graphics. This method usefully supplements traditional approaches of conditional probability calculations and trees, and students are thereby better able to see what is going on and the mechanism of these relationships.
Descriptors: Mathematics Instruction, Teaching Methods, Probability, Computation