id: 05239780
dt: j
an: 2007f.00134
au: Truxaw, Mary P.; DeFranco, Thomas C.
ti: Mathematics in the making: mapping verbal discourse in Pólya’s “Let Us
Teach Guessing” lesson.
so: J. Math. Behav. 26, No. 2, 96-114 (2007).
py: 2007
pu: Elsevier, New York, NY
la: EN
cc: D40 D20 C70
ut: mathematical discourse; problem solving
ci:
li: doi:10.1016/j.jmathb.2007.05.002
ab: Summary: This paper describes a detailed analysis of verbal discourse
within an exemplary mathematics lesson ‒ that is, George Pólya
teaching in the Mathematics Association of America [MAA] video classic,
“Let Us Teach Guessing” (1966). The results of the analysis reveal
an inductive model of teaching that represents recursive cycles rather
than linear steps. The lesson begins with a frame of reference and
builds meaning cyclically/recursively through inductive processes ‒
that is, moving from specific cases, through recursive cycles, toward
more general hypotheses and rules. Additionally, connections to
specific forms of talk and verbal assessment, as well as to univocal
(conveying meaning) and dialogic (new meaning through dialogue)
discourse, are made.
rv: