dc.contributor.author |
Budgett, Stephanie |
en |
dc.contributor.author |
Pfannkuch, Maxine |
en |
dc.contributor.editor |
Burrill, G |
en |
dc.contributor.editor |
Ben-Zvi, D |
en |
dc.date.accessioned |
2019-02-26T22:30:50Z |
en |
dc.date.issued |
2019 |
en |
dc.identifier.isbn |
978-3-030-03472-6 |
en |
dc.identifier.uri |
http://hdl.handle.net/2292/45432 |
en |
dc.description.abstract |
Probabilistic reasoning is essential for operating sensibly and optimally in the 21st century. However, research suggests that students have many difficulties in understanding conditional probabilities and that Bayesian-type problems are replete with misconceptions such as the base rate fallacy and confusion of the inverse. Using a dynamic pachinkogram, a visual representation of the traditional probability tree, we explore six undergraduate probability students’ reasoning processes as they interact with this tool. Initial findings suggest that in simulating a screening situation, the ability to vary the branch widths of the pachinkogram may have the potential to convey the impact of the base rate. Furthermore, we conjecture that the representation afforded by the pachinkogram may help to clarify the distinction between probabilities with inverted conditions. |
en |
dc.publisher |
Springer Nature Switzerland AG |
en |
dc.relation.ispartof |
Topics and trends in current statistics education research: International perspectives |
en |
dc.relation.ispartofseries |
ICME-13 Monographs |
en |
dc.rights |
Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. |
en |
dc.rights.uri |
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm |
en |
dc.title |
Visualizing chance: Tackling conditional probability misconceptions |
en |
dc.type |
Book Item |
en |
dc.identifier.doi |
10.1007/978-3-030-03472-6_1 |
en |
pubs.begin-page |
3 |
en |
dc.rights.holder |
Copyright: The author |
en |
pubs.author-url |
https://books.google.co.nz/books?id=odmBDwAAQBAJ |
en |
pubs.end-page |
25 |
en |
pubs.place-of-publication |
Cham, Switzerland |
en |
dc.rights.accessrights |
http://purl.org/eprint/accessRights/RestrictedAccess |
en |
pubs.elements-id |
759622 |
en |
dc.relation.isnodouble |
647358 |
* |
pubs.org-id |
Science |
en |
pubs.org-id |
Statistics |
en |
pubs.number |
1 |
en |
pubs.record-created-at-source-date |
2019-01-15 |
en |
pubs.online-publication-date |
2018-12-30 |
en |