id: 06310382
dt: a
an: 2014d.00804
au: Maher, Carolyn A.; Ahluwalia, Anoop
ti: Counting as a foundation for learning to reason about probability.
so: 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, 559-580
(2014).
py: 2014
pu: Dordrecht: Springer
la: EN
cc: K50 K20 E50
ut: probability; combinatorics; open-ended problem solving; representations;
strategies and heuristics; binomial theorem; justification;
longitudinal study
ci:
li: doi:10.1007/978-94-007-7155-0_30
ab: Summary: Based on findings from long-term and cross-sectional studies in a
variety of contexts and across a variety of ages, we have found that in
the activity of problem solving on strands of counting and probability
tasks, students exhibit unique and rich representations of counting
heuristics as they work to make sense of the requirements of the tasks.
Through the process of sense making and providing justifications for
their solutions to the problems, studentsâ€™ representations of the
counting schemes become increasingly more sophisticated and show
understanding of basic combinatorial and probabilistic reasoning.
rv: