id: 06618988
dt: j
an: 2016e.00592
au: Hunt, Jessica Heather; Tzur, Ron; Westenskow, Arla
ti: Evolution of unit fraction conceptions in two fifth-graders with a learning
disability: an exploratory study.
so: Math. Think. Learn. 18, No. 3, 182-208 (2016).
py: 2016
pu: Taylor \& Francis (Routledge), Philadelphia, PA
la: EN
cc: F43 C33 C43 D73
ut: unit fractions; fraction concept; learning disabilities; difficulties
ci:
li: doi:10.1080/10986065.2016.1183089
ab: Summary: The literature seems limited in what is known about conceptual
processes that underlie evolution of students with learning
disabilities (SLD) conceptions of fractions. This exploratory study
examines how a foundational scheme of unit fractions ($1/n$) may evolve
through the mathematical activity of two fifth grade girls. We analyze
data segments from episodes conducted during a teaching experiment
grounded in the activity of iterating estimates of one personâ€™s equal
share. Our findings include four distinct conceptual stages: (1) No
Conception of the Nature of Adjustment to the Magnitude of a Unit
Fraction, (2) Evolving Anticipation of the Nature of Adjustment but not
of its Relative Amount, (3) Anticipation of the Nature of Adjustment
with an Evolving Partial Amount, and (4) a Dual Anticipation of the
Nature and Amount of Adjustment. Findings demonstrate each girl was
able to use her constructed scheme to successfully solve and reason
about novel problems. We discuss the need for more research to confirm
the findings from this study, while offering a conjecture of the
possibilities for more SLDs to advance their conceptions of fractions
in future interventions.
rv: