id: 05836777
dt: j
an: 2011b.00866
au: Groth, Randall E.
ti: Teachersâ€™ construction of learning environments for conditional
probability and independence.
so: Int. Electron. J. Math. Educ. 5, No. 1, 32-55 (2010).
py: 2010
pu: Gokkusagi, Ankara
la: EN
cc: K59 D49 B53
ut: conditional probability; statistical independence; learning environments;
mathematical knowledge for teaching; secondary school teacher training;
community-centred learning environments
ci:
li: http://www.iejme.com/012010/ab3.htm
ab: Summary: Although literature on challenges to studentsâ€™ learning of data
analysis and probability has steadily accumulated over the past few
decades, research on challenges encountered in teaching the content
area is in its beginning stages. The present study aims to help build
this area of research by identifying some knowledge elements necessary
for teaching conditional probability and independence. Artifacts of
classroom practice, including written plans and lesson video, were used
to identify challenges encountered by teachers in establishing
productive learning environments for students first learning the
concepts. It is proposed that enhanced common and specialized content
knowledge may help teachers address the challenges identified. Some
salient aspects include knowledge of: distinctions among major
concepts, data displays with pedagogical value, and the roles of
fractions and combinatorial ideas in the psychology of learning
conditional probability and independence. The discussion of these and
other relevant knowledge aspects is drawn upon to propose potentially
productive directions for teacher education efforts and future
research.
rv: