id: 02336555
dt: a
an: 2001a.00642
au: Carraher, David; Brizuela, Bárbara M.; Schliemann, Analúcia D.
ti: Bringing out the algebraic character of arithmetic: instantiating variables
in addition and subtraction.
so: Nakahara, Tadao et al., 24th Conference of the International Group for the
Psychology of Mathematics Education (PME 24). Vol. 2. ,. 145-152
(2000).
py: 2000
pu: ,
la: EN
cc: H22
ut:
ci:
li:
ab: We report findings from a one-year teaching experiment designed to document
and help nurture the early algebraic development of third grade
students. We focus on an arithmetic problem that fixes some measures
but allows more than one solution set. We highlight how children dealt
with the fact that the quantitative relations referred to particular
measures on one hand (and in that sense were arithmetical), and were
meant to express general properties not bound to particular values, on
the other (and in this sense were algebraic). We look at the role of
instantiated variables in this tension and transition between the
particular and the general.
rv: