id: 06124924
dt: j
an: 2013a.00758
au: Radakovic, Nenad; Mcdougall, Douglas
ti: Using dynamic geometry software for teaching conditional probability with
area-proportional Venn diagrams.
so: Int. J. Math. Educ. Sci. Technol. 43, No. 7, 949-953 (2012).
py: 2012
pu: Taylor \& Francis, Abingdon, Oxfordshire
la: EN
cc: K50 U50
ut: teaching and learning probability; conditional probability; dynamic
visualizations; area-proportional Venn diagrams; weighted Venn diagrams
ci:
li: doi:10.1080/0020739X.2011.633628
ab: Summary: This classroom note illustrates how dynamic visualization can be
used to teach conditional probability and Bayesâ€™ theorem. There are
two features of the visualization that make it an ideal pedagogical
tool in probability instruction. The first feature is the use of
area-proportional Venn diagrams that, along with showing qualitative
relationships, describe the quantitative relationship between two sets.
The second feature is the slider and animation component of dynamic
geometry software enabling students to observe how the change in the
base rate of an event influences conditional probability. A
hypothetical instructional sequence using a well-known breast cancer
example is described.
rv: