id: 06439683
dt: a
an: 2015d.00681
au: Brizuela, Bárbara M.; Earnest, Darrell
ti: Multiple notational systems and algebraic understandings: the case of the
“best deal" problem.
so: Kaput, James J. (ed.) et al., Algebra in the early grades. London:
Routledge (ISBN 978-0-8058-5472-5/hbk; 978-0-8058-5473-2/pbk). Studies
in Mathematical Thinking and Learning Series, 273-301 (2008).
py: 2008
pu: London: Routledge
la: EN
cc: H12 C32 E42 I22
ut: early education in algebra; algebraic reasoning; primary education;
educational research; multiple representations; interviews; modes of
representation; concept formation; mathematical language; terminology;
notation; mathematical symbols; tables; graphical representations;
linear functions
ci:
li:
ab: From the text: In Chapter 11, the authors look at students in the process
of trying to coordinate diverse representations of the same function.
Students are asked to decide which is a better birthday present: (a)
receiving \$ 2 for each dollar one already has, or (b) receiving \$ 3
for each dollar one has, but having to return \$ 7 to the giver.
Nine-year-old students initially favor one deal over the other. But
when they consider a variety of scenarios, they realize that the
outcome varies according to the starting amount. The authors focus on
the students’ work of making and interpreting graphs, and
coordinating information in a graph with information in a table.
rv: