id: 06617774
dt: j
an: 2016e.00581
au: Park, Jungeun; Flores, Alfinio; Hohensee, Charles
ti: Fractions as numbers and extensions of the number system: developing
activities based on research.
so: Ohio J. Sch. Math. 73, 13-21 (2016).
py: 2016
pu: Ohio Council of Teachers of Mathematics (OCTM), Columbus, Oxford, OH
la: EN
cc: F40
ut: number concepts; number sense; fractions; research; history of mathematics;
extension of the number domain; common core state standards; number
line; paper folding; preservice teacher education; primary education;
lower secondary; visualization; student activities; zooming in;
averages; means; error bounds; approximation
ci:
li:
ab: Summary: Existing studies have shown fractions present significant
challenges for K‒8 students and pre-service teachers. They suggest
that students may fail to see fractions as numbers and have difficulty
moving beyond the part-whole realization, and thus they often think of
fractions as objects disconnected from the number system. To address
this issue, the current study proposes several activities that can be
used in mathematics courses for pre-service elementary/secondary
teachers or students to help them recognize fractions as numbers with
the same visual representations as whole numbers (e.g., the number
line) and on which the same kinds of operations can be used. Along with
a description of the activities, the paper also provides observations
about what happened when we gave the activities to a group of 28
prospective elementary teachers, highlighting evidence of their
understanding of fractions as numbers.
rv: