id: 06664463
dt: j
an: 2016f.00893
au: Whitacre, Ian; Nickerson, Susan D.
ti: Prospective elementary teachers making sense of multidigit multiplication:
leveraging resources.
so: J. Res. Math. Educ. 47, No. 3, 270-307 (2016).
py: 2016
pu: National Council of Teachers of Mathematics (NCTM), Reston, VA
la: EN
cc: F39 C39 D39
ut: content knowledge; mental computation; multiplication; number sense;
preservice teachers; prospective teachers; teacher education; whole
number
ci:
li: doi:10.5951/jresematheduc.47.3.0270
ab: Summary: This study examines how collective activity related to
multiplication evolved over several class sessions in an elementary
mathematics content course that was designed to foster prospective
elementary teachersâ€™ number-sense development. We document how the
class drew on as-if-shared ideas to make sense of multidigit
multiplication in terms of partial products and to reason flexibly
about products. We document how the class overcame the challenge of
accounting for partial products in multidigit multiplication, including
particular activities and ways of reasoning that facilitated progress.
The results provide insights into how prospective elementary
teachersâ€™ understanding of multidigit multiplication can develop
during a content course and how a sequence of instructional activities
and practices can productively leverage the resources that they bring
in support of that development.
rv: