Contextual considerations in probabilistic situations
an aid or a hindrance?
We examine the responses of secondary school teachers to a probability task with an infinite sample space. Specifically, the participants were asked to comment on a potential disagreement between two students when evaluating the probability of picking a particular real number from a given interval of real numbers. Their responses were analyzed via the theoretical lens of reducing abstraction. The results show a strong dependence on a contextualized interpretation of the task, even when formal mathematical knowledge is evidenced in the responses.
Mamolo, A. , Zazkis, R. (2014)., Contextual considerations in probabilistic situations: an aid or a hindrance?, in E. J. Chernoff & B. Sriraman (eds.), Probabilistic thinking, Dordrecht, Springer, pp. 641-656.
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