\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2014d.00807}
\itemau{Mamolo, Ami; Zazkis, Rina}
\itemti{Contextual considerations in probabilistic situations: an aid or a hindrance?}
\itemso{Chernoff, Egan J. (ed.) et al., Probabilistic thinking. Presenting plural perspectives. Dordrecht: Springer (ISBN 978-94-007-7154-3/hbk; 978-94-007-7155-0/ebook). Advances in Mathematics Education, 641-656 (2014).}
\itemab
Summary: 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.
\itemrv{~}
\itemcc{K50 K60 M10 D70}
\itemut{contextual probability; Platonic probability; infinite sample space; abstraction level; reducing abstraction; real numbers; teachers' knowledge; formal knowledge; randomness; task interpretation}
\itemli{doi:10.1007/978-94-007-7155-0\_34}
\end